Answer:
y = -x + 7
Step-by-step explanation:
Hi there!
We are given the following points:
(5,2) and (10,-3)
We want to find the equation of the line that passes through these 2 points
There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b (m is the slope and b is the y intercept).
First, let's find the slope of the line.
The slope can be calculated from 2 points using the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes.
[tex]x_1=5\\y_1=2\\x_2=10\\y_2=-3[/tex]
Now substitute these values into the formula to find the slope
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-3-2}{10-5}[/tex]
Simplify
m=[tex]\frac{-5}{5}[/tex]
Divide
m=-1
The slope of the line is -1
We can substitute this value as m in y=mx+b.
Here's the equation of our line so far:
y=-x+b
Now we need to find b
As the equation passes through the points (5,2) and (10,-3), we can use either point to find the value of b
Taking (5,2) for example:
Substitute 5 as x and 2 as y
2=-5+b
Add 5 to both sides
7=b
Substitute 7 as b in the equation
y = -x + 7
Hope this helps!
See more on this topic here: https://brainly.com/question/27166723
simplify a^9xa^4
how i do this
Answer:
a13
Step-by-step explanation:
a^9 × a^4 = a(9 + 4)
= a13
Identify the equation for the parabola with the focus F(0,-9.5) and directrix y =9.5
Considering the given focus and directrix, the equation of the parabola is given by:
[tex]y = -2.375x^2[/tex]
What is the equation of a parabola?The equation of a parabola, with a directrix in y, is:
[tex]y - k = a(x - h)^2[/tex]
In which:
The value of a is of 0.25C.The vertex is (h,k).The focus if (h, k+C).The directrix if y = k - C.In this problem, we have that the x-coordinate of the vertex is h = 0.
From the focus and the directrix, we have that:
k+C = -9.5
k - c = 9.5.
Hence k = 0, C = -9.5 = a = 0.25C = -2.375.
Thus the equation of the parabola is given by:
[tex]y = -2.375x^2[/tex]
More can be learned about the equation of a parabola at https://brainly.com/question/26144898
3. Megan earns $8.25 an hour and buys lunch For 6.50 each day.
Which expression represent the amount of money megan has left each day after working H hours and buying lunch?
A.8.25h
B.14.15h
C. 8.25 h - 6.50
D. 6.50h-8.25
Answer:
Option: C
Analysis:
— Each day earning = $8.25 x H hours
= 8.25 h
Now,
— buys lunch for 6.50
then,
— money left
= 8.25h - 6.50
Need to find best answer
Answer:
Step-by-step explanation:
The question is 10b/(2b + 8)
The reciprocal will not make a minus sign. B and C are both wrong. Powers can create a minus sign but not this kind of question
Two terms creating a binomial must stay together. In this case (2b + 8) must be entirely in the top or bottom of the fraction. That makes D wrong.
Answer: A is the correct reciprocal.
Solve the following:
one and two fourths plus three and three fourths
Answer:
5 and 1/4 is the answer to your problem
Step-by-step explanation:
Answer:
[tex]\frac{21}{4}[/tex] or [tex]5 \frac{1}{4}[/tex]
Step-by-step explanation:
[tex]1 \frac{2}{4} + 3 \frac{3}{4}\\[/tex]
First, I would convert them into improper fractions. To convert [tex]1 \frac{2}{4}[/tex], I would do 1 x 4 = 4, then + 2 = 6
To convert [tex]3 \frac{3}{4}\\[/tex] , I would do the same: 3 x 4 = 12 + 3 = 15
That leaves us with [tex]\frac{6}{4}[/tex] + [tex]\frac{15}{4}[/tex]
All we have to do is add the numerators (top numbers) so
6 + 15 = 21
Answer = [tex]\frac{21}{4}[/tex]
or, as a mixed number, [tex]5 \frac{1}{4}[/tex]
Hope this makes sense. If you require any further explanation, feel free to ask..
- profparis
If I helped you, I would appreciate a brainliest :D
help me solve problem one please.
Answer: His temperature is 99°F
Step-by-step explanation:
Let's state what we know:
Steve's temperature was initially 102°F
Later it dropped 3°F lower
Since his temperature decreased we need to subtract 3 from 102 to see what his temperature is now
102-3=99
What is the multiplicity of (-4,0)?
Answer:
A "zero" of a polynomial is a value of x at which the polynomial, when evaluated, is equal to zero. Since (−x)4=(−1)4x4=x4 ( − x ) 4 = ( − 1 ) 4 x 4 = x 4 , the zero 0 has multiplicity 4 .
...
A recipe for trail mix includes 1/3 cup of Chex mix for 4 servings. How many cups of Chex mix are needed for 60 servings.
Answer:
5
Step-by-step explanation:
cup of Chex mix needed for 4 servings = [tex]\frac{1}{3}[/tex]
cup of Chex mix needed for 1 servings = [tex]\frac{1}{3}*\frac{1}{4} =\frac{1}{12}[/tex]
cup of Chex mix needed for 60 servings = [tex]\frac{1}{12}*60=5[/tex]
Russ and Vickie are trying to solve this problem: There are 130 students taking buses to the museum. If each bus holds 22 students, how many buses will they need? Vickie says the students need 5 buses. Russ says they need 6 buses. Who is correct? They will need ? buses. So, ? is right.
Help meeee!!!!
Answer:
Russ is correct
Step-by-step explanation:
Russ is correct because 130/22 will not be quite to 6, but you can't have 9/10 of a bus so you will round up to 6.
PLES HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
24
Step-by-step explanation:
area of a triangle is length x width, divided by 2. so 8 times 6, divided by 2. 48/2 = 24.
Most secured loans are not _____.
backed by collateral
long-term
high interest
scheduled with set payments
Most secured loans are not high-interest loans and they are usually backed by collateral.
What are secured loans?Secured loans demand the borrower to dedicate an asset or security as an assurance or collateral for the loan in order to get it.
For example:
A mortgage on a house orAn auto loan.Secured loans are often long-term loans; e.g, the average period of a house loan is 30 years, whereas vehicle loans run 4-5 years.
These kinds of loans are often repaid in monthly installments and have low-interest rates.
Learn more about secured loans here:
https://brainly.com/question/14997152
or 22,4:58:53 AM
Watch help video
Cooper gave out a survey to some students in his school about their favorite color.
tudents could choose between red and blue. 129 of those surveyed said their favorite
color was red. 57% of the students surveyed said their favorite color was blue. How
many students were surveyed in total?
Answer:
300 students were surveyed.
Step-by-step explanation:
Well, we know that 57% of students like blue, so that leaves 43% who like red. By simply dividing 129 by 43, we get 3, so know we can conclude that 1% is equal to 3 students. Knowing this, we can multiply 3 by 57 to get 171. Adding these up, we get 300, and we can verify this, by simply finding the difference between 57 and 43, which is 14. Now that we also know that 1% is equal to 3 students, we can multiply 14 by 3, to get 42, which is also the difference between 171 and 129.
I need help with this problem please
Gus bought 12 gallons of gas at $2.17
a gallon, a bottle of oil for $2.49 and
two jugs of anti-freeze for $7.98 each.
He paid $1.52 in tax for the oil and
anti-freeze. If he paid with a $50 bill,
how much change did he receive?
bro help lol
Answer:
$3.99
Step-by-step explanation:
a gallon of gas=2.17$
12 gallons of gas=2.17$×12 =26.04$
2 jugs of anti freeze =7.98$ × 2 = 15.96$
a bottle of oil = 2.49$
tax= 1.52$
total= 46.01$
he paid 50$
so the change could be 50$-46.01$ = 3.99$
the answer is 3.99$
for her birthday betanya got lots of money! she started off with $75.00 and ended up with $636.75 at the end of the day. what percentage represents the increase of money
Answer:
subtract 75 out of 636.75 then once you get that answer divided it by 100 to get the percentage
which number has 5 that is 1/10 the value of the 5 in 522.12?
Answer:
50,12
Step-by-step explanation:
any number that has 5 in the tensplace is correct
1/10 of 100 is 10
[tex]t ^{3} = \frac{64}{27} [/tex]
If t to the power of 3 = 64/27, what is the value of t? Give your answer as a fraction. Enter your answer in the boxes.
[tex] {t}^{3} = \frac{64}{27} \\ [/tex]
[tex]t = \sqrt[3]{ \frac{64}{27} } \\ [/tex]
[tex]t = \frac{ \sqrt[3]{64} }{ \sqrt[3]{27} } \\ [/tex]
[tex]t = \frac{4}{3} \\ [/tex]
Suppose a laboratory has a 30 g sample of polonium-210. The half-life of polonium-210 is about 138 days. a. How many half-lives of polonium-210 occur in 1104 days? b. How much polonium is in the sample 1104 days later?
9; 0.06 g
8; 0.12 g
8; 2,070 g
8; 3.75 g
Step-by-step explanation:
the decay or "half-life" of radioactive particles is really a big joke by nature, in my opinion.
it takes that much time for half of the amount to decay, so, naturally, one wound assume that after a second interval then the other half is gone.
but far from it. no, only the half of the originally remaining half is then gone (the half of a half is 1/2 × 1/2 = 1/4). and after another interval the half of the half of the half is then gone. and so on.
so, this creates a geometric sequence with the common factor (or ratio) if 1/2.
that means every term is created by multiplying the previous term by 1/2.
a.
how many "half-lives" in 1104 days ?
well, with every 138 days such a half-life is over.
so, the answer is how often 138 fits into 1104 :
1104 / 138 = 8
there are 8 "half-lives" of polonium-210 in 1104 days.
b.
how much polonium-210 is in the sample after 1104 days ?
since we have 8 half-lives, we need to multiply the original amount 8 times by 1/2. in other words by 1/2⁸.
2⁸ = 256
so, our calculation is
30 g × 1/256 = 0.1171875 g ≈ 0.12 g
so, the second answer option is correct.
A total of 133 million square miles of the Earth's surface are covered in water. The ratio of the area covered in water to the area of land is 7/3. Find the area of land on Earth.
URGENT! Whoever gets first correct answer is brainliest
Answer:
57 million square milesStep-by-step explanation:
Let the area of water is w and area of land is l.
Their ratio is:
w/l = 7/3or
133 / l = 7/3Find the value of l
l = 133*3/7l = 57 million square milesLet that be x
133/x=7/37x=399x=399/7x=57M mi²-
1. Show that the function g(x)- *52 is the inverse of f(x) = 5x+2.
Step 1: The function notation f(x) can be written as a variable in an equation. Is that variable xory?
Write f(x) = 5x + 2 as an equation with the variable you chose above. (2 points)
=
Step 2: Switch the variables in the equation from Step 1. Then solve for y. Show your work. (2 points)
Step 3: Find the inverse of g(x)= *52. What does this tell you about the relationship between f(x) =
5x + 2 and g(x)? Show your work. (3 points)
The table shows values that represent a function.
Answer:
f(x) and g(x) are inverses of each other
Step-by-step explanation:
To find the inverse of a function, swap the x's and y's and then solve for "y"
f(x) = 5x + 2
y = 5x + 2
Swap:
x = 5y + 2
-2 - 2
x - 2 = 5y
÷5 ÷5
18-3b for b=4
please help
Answer:
im sorry I don't know I didn't do stuff like this in school
Next question
In an isosceles triangle, one angle is 81° greater than each of the other two equal angles. Find the measure of all three angles.
The two smaller angles are each
The larger angle is °.
The measure of all three angles is 81, 49.5 and 49.5 degrees.
What is Angle sum property?According to the angle sum property of a triangle, the sum of all three interior angles of a triangle is 180 degrees. A triangle is a closed figure formed by three line segments, consisting of interior as well as exterior angles.
The angle sum property formula for any polygon is expressed as, S = (n − 2) × 180°, where 'n' represents the number of sides in the polygon. This property of a polygon states that the sum of the interior angles in a polygon can be found with the help of the number of triangles that can be formed inside it.
Given:
The triangle is isosceles which has two sides equal.
Also Two angles equals.
Let the equal angles are x.
third angle= 81 degree
Now, Using Angle Sum property
x+ +x + 81 = 180
2x= 180-81
2x= 99
x= 99/2
x= 49.5 degrees
Hence, the two smaller angles are 49.5 degrees.
Learn more about Angle sum property here:
https://brainly.com/question/21099419
#SPJ2
Thirty-four high school students were surveyed and asked how many siblings they have. The dotplot below displays the distribution of responses. A dotplot. A number line going from 0 to 8 is labeled Number of Siblings. 0, 3; 1, 5; 2, 9; 3, 9; 4, 3; 5, 3; 6, 1; 7, 0; 8, 1. What percent of students have fewer than 2 siblings? 9% 24% 26% 50%
Answer: B: 24%
Step-by-step explanation:
I NEED HELP!! PLEASE HELP!! Find the area of the shaded region. Round your answer to the nearest hundredth.
area: about __ft2
The area of the shaded region in the given quadrant, to the nearest hundredth is: 4.57 ft².
What is the Area of a Quadrant?Area of a quadrant = 1/4 × area of a circle = 1/4 × πr²
The figure has been partitioned into A, B, C to E.
The area of the shaded region = A + B
Step 1: Find the area of A:
Area of A = area of the square formed by D, A, and C - area of D + area of C.
Area of D = area of square - area of quadrant formed by A and C
Area of D = s² - 1/4 × πr² = 2² - 1/4 × π(2)²
Area of D = 0.86 ft²
Area D = area of C = 0.86 ft²
Area of D + area of C = 2(0.86) = 1.72 ft²
Area of A = 4 - 1.72 = 2.28 ft²
Step 2: Find the area of quadrants E and F
Area of quadrants E and F = 2(1/4 × πr²) = 2(1/4 × (3.14)(2)²)
Area of quadrants E and F = 6.28 ft².
Step 3: Find the area of B
Area of B = area of the biggest quadrant - area of quadrants E and F + area of square formed by D, A, and C
Area of B = 1/4 × πr² - 6.28 + 4
Area of B = 1/4 × π(4²) - 10.28
Area of B = 2.29 ft².
Step 4: Find the area of the shaded region
Area of the shaded region = A + B = 2.28 + 2.29
Area of the shaded region = 4.57 ft².
In conclusion, the area of the shaded region in the given quadrant, to the nearest hundredth is: 4.57 ft².
Learn more about area of quadrant on:
https://brainly.com/question/11066058
7. Consider the function p(x) =
X-3
2x-6
B) Evaluate p(3), writing out every step. You will run into some trouble. Describe it.
Type your answer below:
The function p(x) = x-3/2x-6 is a polynomial function, and the value of p(3) is undefined
How to evaluate the function?The function is given as:
P(x) = x - 3/2x- 6
Set x = 3
P(3) = 3 - 3/2(3)- 6
Evaluate the difference
P(3) =0/0
A division by 0 is undefined
Hence, the value of p(3) is undefined
Read more about functions at:
https://brainly.com/question/4025726
Question 2(Multiple Choice Worth 2 points)
(06.06 MC)
At an amusement park, the pendulum ride's movement from its starting position in meters can be represented by the equation f of x is equal to negative 4 times the cosine of the quantity x over 8 end quantity plus 4 period If x represents time measured in seconds since the ride first began, at what times will the pendulum's movement be 8 meters from its starting position?
Solving the trigonometric equations, the times at which the pendulum's movement will be 8 meters from its starting position are of:
[tex]x = 8\pi + 16n\pi[/tex] seconds.
What is the equation for the pendulum's position?It is given by:
[tex]f(x) = -4\cos{\frac{x}{8}} + 4[/tex]
It is 8 meters from its starting position when f(x) = 8, hence:
[tex]f(x) = -4\cos{\frac{x}{8}} + 4[/tex]
[tex]8 = -4\cos{\frac{x}{8}} + 4[/tex]
[tex]4 = -4\cos{\frac{x}{8}}[/tex]
[tex]\cos{\frac{x}{8}} = -1[/tex]
We have that:
[tex]\cos{x} = -1 \rightarrow x = \pi + 2n\pi[/tex]
Hence:
[tex]\frac{x}{8} = \pi + 2n\pi[/tex]
[tex]x = 8\pi + 16n\pi[/tex] seconds.
More can be learned about trigonometric equations at https://brainly.com/question/24680641
PLEASE HELP PLEASE HELP PLEASE
Answer:
D
Step-by-step explanation:
Well, the right edge is 1 line away from 6 so it is 5 15/16 inches.
There are 16 lines for each 1 line. so it is 5 inches and 15 lines out of 16
Please help, Which statements about the graph are true? Choose all the true statements.
A.) The friends stopped for a break between hours 3 and 4.
B.) The friends hiked at a constant speed for the first 2 hours.
C.) The friends hiked at the maximum speed for 7 and 8.
D.) The friends hiked the least number of miles between hours 6 and 7.
E.) The friends hiked back toward the starting point between hours 3 and 4.
Answer:
I would say it's C
Step-by-step explanation:
trust the process
I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
91⁰
Step-by-step explanation:
By using exterior angle theorm,
3=44+47=91⁰
Find the missing measurement
A= 5
B=
C =11
Step-by-step explanation:
a^2 + b^2 = c^2
5^2 + b^2 =11^2
25 + b^2 = 121
b^2 = 121 - 25
b^2 = 96
b =9.8
I don't know if this what you need but I hope this helps