Answer:
1) c. AD || CE
2) solve them both first:
3y + 1 = 6x + 4 2y + 1 = x - 9
3y = 6x + 3 2y = x - 10
y = 2x + 1 . y = 1/2x - 5
Parallel lines should have the same slope and they are definitely not the same line, so both A and C are eliminated
Perpendicular slopes should be negative reciprocals of each other. If they were negative reciprocals one slope would be either -2 or -1/2, which means that they're not perpendicular either.
The answer is D, neither parallel nor perpendicular.
3) to find the midpoint of a line, add the x coordinates and divide by 2 and add the y coordinates and divide by 2.
[tex](\frac{-6+1}{2},\frac{1+8}{2} )\\\\=(\frac{-5}{2},\frac{9}{2} )\\\\=(-2\frac{1}{2} ,4\frac{1}{2} )[/tex]
The answer is D.
4) d. GB || HC
5) d. 345.6
[tex]A=2\pi rh\\\\A=2\pi (5)(11)\\\\A=2\pi (55)[/tex]
A ≈ 345.58 ≈ 345.6
6) first change the other equation (4x + 2y = 10) to slope-intercept form:
2y = -4x + 10
y = -2x + 5
because the line must be parallel, it has to have a slope = -2
That automatically eliminates all answers except for D, so you don't even have to do the work to make the other equation.
7) best bet is a. EH and BC are coplanar, but I'm really not sure
8) d. DB and HF
9) first change the other equation (4x - 6y = 15) to slope-intercept form:
-6y = -4x + 15
y = 2/3x - 5/2
slope of the perpendicular line should be -3/2
y = -3/2x + a
9 = -3/2(6) + a
9 = -9 + a
a = 18
y = -3/2x + 18
which is the same as y - 9 = -3/2(x - 6), which is A
Anyone pls? I'll give brainliest
Answer:The answer to your question is 5
Please help me!!!! I'm terrible at math. Please!! HELP!!!
A rectangular prism has a volume of 6x^4−13x^3−5x^2. What expressions can represent the dimensions of the prism? Use factoring.
Answer:
[tex]6x^4-13-5x^2[/tex]
[tex]given[/tex]
[tex]x^2(6x^2-13x-5)[/tex]
[tex]Factor ~ out ~the~common~Factor~of ~x^2[/tex]
[tex]x^2(3x+1)(2x-5)[/tex]
[tex]Factor ~the ~quadratic~equation[/tex]
[tex]x^2,3x+1,2x-5[/tex]
[tex]These ~factors ~can ~ be ~ the ~dimenions~of ~the ~prism~because~they ~will \\yield~the~ correct ~volume.[/tex]
---------------------
hope it helps...
have a great day!!
Solve equations - two sides
(135a)
Solve
2x - 7=7x +5
Answer:
x=-12/5
Step-by-step explanation:
2x-7=7x+5
2x-7x=5-(-7)
-5x=5+7
x=12/-5
x=-12/5
100 points + Brainliest Let C represents the cost in dollars and R represents the revenue in dollars. What is the break-even point? Use a table to help if necessary.
C=36x+200
R=76x
Break-even point: (,)
Answer:
(x, {C and/or R}) = (5, 380)
Step-by-step explanation:
You want the break-even point when cost (C) and revenue (R) are given by ...
C = 36x +200R = 76xProfitProfit is the difference between revenue and cost. The break-even point is the point at which profit is zero:
P = R -C
0 = 76x -(36x +200)
0 = 40x -200 . . . . simplify
0 = x -5 . . . . . . . . . divide by 40
x = 5 . . . . . . . . . add 5
The break-even point is at x=5. Revenue and cost are both 380 at that point.
TableIf you prefer to look at these values in a table, you can consider ...
[tex]\displaystyle \begin{array}{ccc}x&C&R\\\cline{1-3}\vphantom{\^B}3&308&228\\4&344&304\\5&380&380\\6&416&456\end{array}[/tex]
We notice that cost and revenue are the same for x=5. They are both 380 for that value of x.
GraphAnother way to find the break-even point is to use a graph to plot cost and revenue on the same vertical axis. The point at which the lines cross is the break-even point. The break-even point coordinates are (5, 380).
Write a Parallel line for the equation =34−5
Answer:
y = 34x + 3
Step-by-step explanation:
we want to write a parallel line equation for;
y = 34x-5
The general equation of a straight line is;
y = mx + b
where m is slope and b is y intercept
from what we have above, 34 is the slope
When two lines are parallel, the slope value is equal irrespective of the y intercept value
since slope is equal, we can have ;
y = 34x + 3
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answer:
Option B.
{–9 + i√225 / 24, –9 – i√225 / 24}
Step-by-step explanation:
12a² + 9a + 7 = 0
Using formula method, the solutions to the equation can be obtained as follow:
Coefficient of a² (a) = 12
Coefficient of a (b) = 9
Constant (c) = 7
a = –b ±√(b² – 4ac) / 2a
a = –9 ±√(9² – 4 × 12 × 7) / 2 × 12
a = –9 ±√(81 – 336) / 24
a = –9 ±√(– 225) / 24
Recall
–225 = –1 × 225
Thus,
–9 ±√(– 225) / 24 = –9 ±√(–1 × 225)/24
Recall
√(–1 × 225) = √–1 × √225 = i√225
Thus,
–9 ±√(–1 × 225)/24 = –9 ± i√225/24
Therefore,
a = –9 ± i√225/24
a = –9 + i√225 / 24 or –9 – i√225 / 24
Therefore, the solutions to the equation are:
{–9 + i√225 / 24, –9 – i√225 / 24}
what is the measure of angle a
Answer:
C. 19.47°
Step-by-step explanation:
The triangle's angles are 90°, 70.53°, and 19.47°.
-15x+4x+2-x= x+ as a no solution
The equation -15x + 4x + 2 - x = x has solution and the solution is 2/13
How to determine if the equation has no solutionFrom the question, we have the following parameters that can be used in our computation:
-15x+4x+2-x= x+
Express the equation properly
So, we have the following representation
-15x + 4x + 2 - x = x
Collect the like terms in the equation
This gives
-x - 15x + 4x - x = -2
Evaluate the like terms
So, we have the following representation
-13x = -2
Divide both sides by -13
This gives
x = 2/13
Hence, the solution is 2/13
Read more about equations at
https://brainly.com/question/2972832
#SPJ1
What is the result of adding the system of equations 2x y 4 3x y 6?
The addition of terms [tex]2x+y^4[/tex] and [tex]3x+y^6[/tex] will be [tex]5x+y^4+y^6[/tex]
A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, and division (No division operation by a variable).
Simply add the coefficients of each phrase to add polynomials.
You may remove polynomials by subtracting the coefficients.
To add polynomials, just combine any like terms.
Step 1: Arrange each polynomial in decreasing order of degree, starting with the term with the highest degree.
Step 2: Sort the words that are similar. Similar phrases have the same variables and exponents.
So, the addition of terms [tex]2x+y^4[/tex] and [tex]3x+y^6[/tex] will be (2x+3x) (As here both are only the like terms, so they will be added together)
So, the sum will be: [tex]5x+y^4+y^6[/tex]
For more questions on Addition of polynomials:
https://brainly.com/question/4420925
#SPJ4
The correct question should be:
What is the result of adding the system of equations:
[tex]2x+y^4[/tex] and [tex]3x+y^6[/tex]
work out the length of x
Answer:
x = [tex]\sqrt{147}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 7² = 14²
x² + 49 = 196 ( subtract 49 from both sides )
x² = 147 ( take the square root of both sides )
x = [tex]\sqrt{147}[/tex] ≈ 12.1 ( to 1 dec. place )
x = 12.12 cm
There are two ways to solve this triangle. We will be using the simpler, Pythagorean Theorem to solve for the missing side length - [tex]a^{2}+b^{2}=c^{2}[/tex]
'a' and 'b' are variables for regular side length legs, while 'c' is a variable for the hypotenuse.
[tex]7^{2}+x^{2} =14^{2}[/tex]
[tex]x^{2} =196-49[/tex]
[tex]x^{2} =147[/tex]
x ≈ 12.12
plssssss help me correct gets brainliest
Answer:
b
Step-by-step explanation:
i did it rn
Answer:
B: 57.12
Step-by-step explanation:
2.8 times 1.2 times 17 is 57:12
Hi, please help ! (see image)
Answer:
R = 144400000/59 [this is a fraction]
Which fraction is closer to 1/2 than 0 or 1?
Answer:
8/12
hope this helps
have a good day :)
Step-by-step explanation:
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
im pretty sure a b g
Step-by-step explanation:
A correlation coefficient of is the amount of the variance in the dependent variable unexplained by the levels of the independent variable alleged to produce the effect under study. A correlation coefficient of 0.3 leaves what percent of the variance in the dependent variable unexplained by the independent variable
The percent of the variance in the dependent variable unexplained by the independent variable is 81%
What does correlation coefficient mean?A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively correlated, the value either rises or falls together.
9 percent of the variance is explained by the independent variable if the correlation coefficient is 0.3.
The correlation coefficient is therefore represented as follows:
[tex]r = 0.3[/tex]
The explained variance is found using the following formula:
[tex]R^{2} = r^{2} \\R^{2} = (0.3)^{2} \\R^{2} = (0.3)*(0.3)\\R^{2} = 0.9[/tex]
Thus, 81% of the variance remains unexplained by variations in the independent variable.
To know more about correlation coefficient visit:-
brainly.com/question/15577278
#SPJ4
I don’t know just need the answer
On solving the provided question we can say that It is isosceles triangle the value of QR is 1.3
An isosceles triangle is what?Therefore, an isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal. An isosceles triangle is one that has two equal-length sides in geometry. With the latter specification, the equilateral triangle is included as a special case even though it is commonly stipulated that it must have at least two sides of equal length.
It is isosceles triangle so, that
ratio of QT/QR = ET/RS
4.7/X = 4.7/1.3
X = 1.3
To know more about isosceles triangle visit:-
brainly.com/question/2456591
#SPJ1
Ali, ben and cathy hare an amount of money in the radio 8:9:10 what fraction of the money doe ben get?
There are 8+9+10=27 equal parts, so Ben has 1/3 of the total amount of money.
What do you mean of ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.
How to find the ratio?Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B. For example, if A is five and B is 10, your ratio will be 5/10.
For n/(8+9+10), where n is an integer <27
Ali : Ben : Cathy
8 : 9 : 10
Thus, there are 8+9+10=27 equal parts, so Ben has 1/3 of the total amount of money.
To learn more about ratio visit:
https://brainly.com/question/13419413
#SPJ4
What happens when you add 1/3 to negative 1/3?
Answer:
You get zero
Step-by-step explanation:
How do you find the domain and range of a graph in Algebra 2?
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Now, According to the question:
How do you find the domain?
Let y = f(x) be a function with an independent variable x and a dependent variable y. If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.
How do you find the range?
The range is calculated by subtracting the lowest value from the highest value.
Learn more about Domain and Range at:
https://brainly.com/question/28135761
#SPJ4
how do i solve -2.4>b/-2.5 step by step
Step-by-step explanation:
hope this helps....see above for answer
A bicycle has a listed price of 839.95 before tax. If the sales tax rate is 85%, find the total cost of the bicycle with sales tax included. Round to the nearest cent as necesary.
$1553.91
Step-by-step explanation:
839.95 ×.85 = 713.96
839.95 + 713.96 = 1553.91
Graph the solution to this inequality on the number line.
−8+x<−3
marking brainliest
The inequality is solved as x < 5 and it is plotted on the number line.
What is linear inequality?Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.
Unlike a linear equation it can have a range of values inside an interval.
The given inequality is −8 + x < −3.
It can be solved as follows,
⇒ −8 + x < −3
Add 8 both sides as,
⇒ 8 + −8 + x < −3 + 8
⇒ x < 5
It can be plotted on the number line as follows,
Hence, the solution is given as x < 5 and it is represented on the number line with clarity.
To know more about linear inequality click on,
https://brainly.com/question/11897796
#SPJ1
Can someone help me with this
Examine the system of equations. −3x y = 4, −9x 5y = −1 what is the solution? ( , )
The system of equations -3x + y = 4 and -9x + 5y = -1 has the solution (-3.5 , -6.5).
A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations. This is what is called as the solution.
Given two equations in x and y,
-3x + y = 4 (equation 1)
-9x + 5y = -1 (equation 2)
Rewrite equation 1 as an equation of y and substitute to equation 2.
(equation 1) -3x + y = 4 ⇒ y = 3x + 4
-9x + 5y = -1 (equation 2)
-9x + 5(3x + 4) = -1
-9x + 15x + 20 = -1
6x = -21
x = -3.5
Substitute the value of x in equation of y and solve for y.
y = 3x + 4
y = 3(-3.5) + 4
y = -6.5
Hence, the solution to the following system of equations is (-3.5 , -6.5).
To learn more about solving systems of equations: brainly.com/question/13729904
#SPJ4
Answer:
(-3.5 , -6.5)
Step-by-step explanation:
A part-time handyman made $8798. 04 last year. If he claimed himself as an
exemption for $3650 and had a $5700 standard deduction, what was his
taxable income last year?
A. $551. 96
B. $5,148. 04
C. $0
D. $3,098. 04
$0, He earned $8798 in net taxable income the previous year. He has a negative amount of taxable income since the exemption and the allowed deduction are larger than his annual gross income.
What is compound interest?Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on the principal amount plus any accumulated interest.
In finance and economics, compound interest is common.
In contrast to simple interest, which does not compound since past interest is not added to the principal for the current period, compound interest allows interest to build over time.
The interest per period multiplied by the number of periods in a year yields the simple annual interest rate.
According to our question-
Last year, a part-time housekeeper earned $8798.
He claimed he was exempt, costing $365.
$570.00 is the standard deduction.
Gross income less the standard deduction and all exemptions equals taxable income.
= 8798 - 3650 - 5700 = $-552
There is a negative number, which indicates that he owes no taxes.
learn more about compound interest click here:
brainly.com/question/28020457
#SPJ4
a form of reasoning called is the process of forming general ideas and rules based on your experiences and observation
A form of reasoning called induction is the process of forming general ideas and rules based on your experiences and observations.
What is the Induction?The process of welcoming newly hired employees and assisting them in adjusting to their new positions and working surroundings is known as induction. Beginning a new work can be stressful, so new hires require assistance adjusting to their new environment.
The action or process of inducting someone to a position or organization.
We have given that,
A form of reasoning called is the process of forming general ideas and rules based on your experiences and observations.
As a result, the process of formulating general hypotheses and rules based on your observations and experiences is known as induction.
learn more about induction here:
brainly.com/question/24672369
#SPJ1
A group of 36 people from the Nantucket recreation center plans to purchase tickets for a cruise to Permut Bermuda the standard fare for an individual ticket is $1200 the group is informed that because of the size of the group the standard fare will be reduced by 30% with a discount of 30% how much does each member of the Nantucket recreation center have to pay for a cruise ticket show or explain how you got your answer (SOMEONE PLEASE HELP)
The total amount each member of the Nantucket recreation center have to pay after the discount is given by the equation A = $ 840
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount for each person after discount be represented as A
Now , the equation will be
The total number of people in the group = 36
The standard fare for each person = $ 1200
So , the total cost of the fare = total number of people x standard fare for each person
Substituting the values in the equation , we get
The total cost of the fare = 1200 x 36
The total cost of the fare = $ 43,200
Now , the discount percentage = 30 %
So , the amount after discount = total cost of the fare - total cost of the fare x discount percentage
Substituting the values in the equation , we get
The amount after discount = 43,200 - ( 30/100 ) x 43,200
The amount after discount = 43200 - 12960
The amount after discount = $ 30,240
Now ,
Total amount for each person after discount A =amount after discount / 36
Total amount for each person after discount A = 30,240 / 36
On simplifying the equation , we get
Total amount for each person after discount A = $ 840
Therefore , the value of A is $ 840
Hence , the amount is $ 840
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
Marissa is skateboarding on a straight stretch of sidewalk. In 3.0 minutes, she travels 486 meters. What is the magnitude of her velocity during this stretch?
Marissa velocity while skateboarding is 162 meters per minute
What is an equation?An equation is used to show the relationship between numbers and variables.
Velocity is the ratio of displacement to time taken. It is a vector quantity (has magnitude and direction) and it is given by:
Velocity = displacement / time
Marissa travels 486 meters in 3 minutes, hence:
Velocity = displacement / time
Velocity = 486 m / 3 min = 162 meters per minute
The velocity is 162 meters per minute
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Answer: The correct answer is 2.7m/s
Step-by-step explanation:
I took the test
Circumference question
1. Suppose a bottle of Buckley's has a radius of 2cm. If you created a label for this product. What is the length of this label?
2. Assumes the company uses 22cm x 12cm boxes for delivery to stores. How many vials will be in each box?
suppose the price of each vial is $5.00. What is the cost of a box?
What is the degree of the polynomial x4 x3 5x 3?
The degree of the polynomial x4 x3 5x 3 is 4, since it is the highest degree of the polynomial.
What is polynomial?A polynomial is an expression that consists of variables, coefficients, and operators such as addition, subtraction, multiplication, and division. It is used to represent a mathematical relationship between variables. The degree of a polynomial is the highest power that appears in the expression, and it indicates the number of terms that make up the polynomial. Polynomials are usually written in descending order of powers, and the highest power is the leading term.
The highest degree of any polynomial is considered its degree. It is also referred to as the degree of the polynomial's leading term, since it is the highest power of x. In this case, the leading term is x4.
The degree of a polynomial can be used to classify the type of polynomial it is. For example, if the degree of a polynomial is 2, it is a quadratic polynomial. Similarly, if the degree of a polynomial is 3, it is a cubic polynomial.
To know more about polynomial click-
https://brainly.com/question/15702527
#SPJ4