keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]2y=6-2x\implies 2y=-2x+6\implies y=\cfrac{-2x+6}{2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-1}x+3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -1 \implies \cfrac{-1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-1} \implies 1}}[/tex]
so we're really looking for the equation of a line whose slope is 1 and it passes through (6 , -7)
[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{-7})\hspace{10em} \stackrel{slope}{m} ~=~ 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{ 1}(x-\stackrel{x_1}{6}) \implies y +7= 1 (x -6) \\\\\\ y+7=x-6\implies {\Large \begin{array}{llll} y=x-13 \end{array}}[/tex]
some one plz help me and no scam links plz and if u do i will report and just no scam links :( look at the pic for the work
Answer:
LOOK BELOW: USE FORMULA WHL WIDTH X HEIGHT X LENGTH
Step-by-step explanation:
4 IN, 3IN, 6IN =72 IN CUBED
6IN, 3IN, 2IN= 36 IN CUBED
4IN, 5IN, 4IN= 80 IN CUBED
2IN, 9IN, 3IN= 54 IN CUBED
5x/2 +2/3 plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
Solutions given:
[tex] \frac{5x}{2} + \frac{2}{3} [/tex]
Taking L.C.M
[tex] \frac{15x + 4}{6} [/tex] is a right answer.
WILL GIVE BRAINLIEST TO CORRECT ANSWER
What graph shows the line of best fit?
Answer:
Graph C (third one down)
Step-by-step explanation:
The line of Graph C is going through closest to the middle, taking all points into account.
What is the Pythagorean triplet of 12 and 16?
"20" is the Pythagorean triplet of 12 and 16.
A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple, it also defines the positive integers a,b, and c such that a right triangle exists with legs a,b, and hypotenuse c.
By the Pythagorean theorem, this is equivalent to finding positive integers a, b, and c satisfying a²+b²=c²
The simplest Pythagorean triple is the set “3,4,5.”
Now, substitute the values in the above equation:
=) x² = 12² + 16²
=) x² = 144 + 256
=) x² = 400
=) x = √(400)
=) x = 20.
Therefore, (12,16,20) is a Pythagorean triplet.
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Two groups of students were asked how far they lived from their school. The table shows the distances in miles: Group A (distance in miles) 1 1.5 8 9.2 6.8 4.5 4.8 2.5 0.76 Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8 Which statement best compares the mean distances for the two groups
Mean distance for group A = 6.01 miles and for group B = 2.17 miles.
What is mean value?In statistics, the mean is the average of all data values given in a data set.
Mean is calculated by adding all the data value and then divided the sum by the total amount of data.
How to calculate the mean distance?distance in miles for Group A distance in miles for group B
11.5 2
8
2.5
9.2 3.23
6.8 1.3
4.5 1.8
4.8 2.4
2.5 3
0.76 1.5
1.8
now mean value for group A = sum of data value/ number of data value
mean distance = (11.5 + 8 +9.2 +6.8 +4.5+ 4.8+2.5+0.76) / 8
mean distance for group A = 6.01 miles
mean distance for group B = (2+2.5+3.23+1.3+1.8+2.4+3+1.5+1.8)/ 9
mean distance = 2.17 miles
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On Monday, Lexi rode 3 miles on a bike. On Tuesday, she rode 3 times more than she did Monday. On Wednesday, she rode an additional 4 miles.
How many miles has Lexi ridden so far this week?
Answer:
she has rode 16 miles this week
Step-by-step explanation:
3 miles on monday 3 times that many on tuesday plus 4 miles one wensaday add them all up
3 times 3 is 9 plus 3 is 12 plus 4 is 16 there fore 16 miles in totale
sorry for my speling erros
She rode a total distance of 16 miles this week.
An expression in mathematics is a combination of terms both constant and variable. For example, we can write the expressions as -
2x + 3y + 5
2z + y
x + 3y
The distance rode by Lexi per day is mentioned below -
Monday - Lexi rode 3 miles on a bike.
Tuesday - Lexi rode 3 times more than she did Monday.
Wednesday - Lexi rode an additional 4 miles.
We can write the expression to find the total distance in miles covered by Lexi as -
d = d{M} + d{T} + d{W}
d = 3 + (3 + 3) + 4
d = 3 + 6 + 4
d = 13 miles
Therefore, she rode a total distance of 16 miles this week.
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Has a slope of 2/3 and passes through the point (-12, 3) in y intercept form
Find what’s missing exponent.
32=2?
Answer:
1/5
Step-by-step explanation:
32^1/5 = 2
Answer:
5
Step-by-step explanation:
2x2x2x2x2 = 2⁵ = 32
Hope this helps :)
Find the break - even points for company X, which sells all it produces, if the variable cost per unit is $3, fixed costs are $2 and YT R = 5√q, where q is the number of thousands of units of output produced.
Given:
The variable cost per unit is $3, fixed costs are $2.
The revenue function is:
[tex]Y_{TR}=5\sqrt{q}[/tex]
where q is the number of thousands of units of output produced.
To find:
The break - even points for company X.
Solution:
The variable cost per unit is $3, fixed costs are $2.
So, the cost function is:
Total cost = Fixed cost + Variable cost × Quantity
[tex]Y_{TC}=2+3q[/tex]
The revenue function is:
[tex]Y_{TR}=5\sqrt{q}[/tex]
At break - even points the profit is zero. It means the cost and revenue are equal.
[tex]Y_{TC}=Y_{TR}[/tex]
[tex]2+3q=5\sqrt{q}[/tex]
Squaring both sides, we get
[tex](2+3q)^2=(5\sqrt{q})^2[/tex]
[tex]2^2+2(2)(3q)+(3q)^2=25q[/tex]
[tex]4+12q+9q^2-25q=0[/tex]
[tex]4-13q+9q^2=0[/tex]
Splitting the middle term, we get
[tex]4-4q-9q+9q^2=0[/tex]
[tex]4(1-q)-9q(1+q)=0[/tex]
[tex](4-9q)(1-q)=0[/tex]
Using zero product property, we get
[tex]4-9q=0[/tex] and [tex]1-q=0[/tex]
[tex]q=\dfrac{4}{9}[/tex] and [tex]q=1[/tex]
[tex]q\approx 0.444[/tex] and [tex]q=1[/tex]
Therefore, the break even points are 0.444 and 1.
Write a STORY PROBLEM for the following equation: 4x+(-3)=-11
Answer:
X = - 2
John had solve the equation 4x+(-3)=-11, he said's his answer is x = 2.
Is he wrong or correct? If wrong plz show the steps on how to get the right answer.
Step-by-step explanation:
4x+(-3)= -11
-11 + 3
= -8
We got x by itself
now solve for x
4x = -8
Solution
X = -2
i’ll give brainliest please help
Answer:
m=4
Step-by-step explanation:
Answer:
m= 4
Step-by-step explanation:
i hope this helps :)
pls help me, i need to get my grade up as soon as I can
Answer:
106 and 93
Step-by-step explanation:
The whole thing has to add up to 360
5) Samantha uses 14 gallons of gas for every 110 miles she drives. How
many gallons does she use if she drives 215 miles?
can you find the proportion pwease :)
Answer: 15/10
Step-by-step explanation:
Answer:
15 cookies and 10 brownies
Step-by-step explanation:
2. Lyda is taking a test worth 50 points. Her goal is to score 80%.
Write a proportion to figure out how many points she needs to accomplish her goal.
Answer: Lyda wants to score 80% on a test that is worth 50 points. To figure out how many points she needs to accomplish her goal, we can set up a proportion using her desired percentage as the proportion of points she wants to score over the total number of points on the test.
score / total points = percentage / 100
To figure out the number of points Lyda needs to score, we can use the proportion above and cross-multiply:
score * 100 = percentage * total points
We know that percentage=80 and total points =50, so we can substitute these values:
score * 100 = 80 * 50
score = (80*50) / 100 = 40
So Lyda needs to score 40 points to accomplish her goal of 80%.
The proportion would be score / total points = x/100 = percentage/100 = 40/50 = 8/10
It's worth to mention that scoring 80% on a test means she scored 40 points on a test worth 50, the minimum score to pass is 30 so she got a good grade already.
Step-by-step explanation:
HELP DUE IN 15 MINS!
In rhombus ABCD, m∠CDE = 50°, DB = 12 ft, and AC = 16 ft
1. m∠CEB =?? degrees
2. m∠BCE =?? degrees
3. m∠ADE =?? degrees
4. ° DE =?? degrees
5. CB =?? degrees
Answer:
1.) m∠CEB = 90 degrees => The intersection is perpendicular
2.) m∠BCE = 40 degrees => 180 - (50 + 90)
3.) m∠ADE = 50 degrees => 180 - (40 + 90)
4.) DE = 6 ft => half of DB: 12/2
5.) CB = 10 ft => Using Pythagorean Theorem, solve:
=> 8² + 6² = CB²
=> 64 + 36 = CB²
=> 100 = CB²
=> [tex]\sqrt{100}[/tex] = CB
=> 10 = CB
Hope this helps!
Answer:
Step-by-step explanation:
I'm just adding the answer to 3. Give the other answerer the Brainliest.
Given a Rhombus, The diagonals bisect the angle that the diagonal is connect to
Therefore <ADE = 50 degrees, same as <CDE.
Alonzo went to a baseball game. The game started at 10:50 AM, and it was 3 hours 27 minutes long. When did the game end? PLEASE ANSWER IT I NEED IT
Answer:
The game ends at 2:17 PM.
Step-by-step explanation:
The basketball game started at 10 hours and 50 minutes and the game lasted 3 hours and 27 minutes. We can use addition to find out the time. Simply add the hours and the minutes.
10 hours + 3 hours = 13 hours
50 minutes + 27 minutes = 77 minutes = 1 hour and 17 minutes
⇒ 14 hours and 17 minutes ⇒ 2:17 PM
The first rule is add 4 starting from 2. The second rule is subtract 4 starting from 28. What is the second ordered pair using the terms in each sequence? A (2, 28) B(6, 24) C (14, 16) D (10, 20)
The second ordered pair using the terms in each sequence is B (6, 24).
THE SEQUENCE PAIRThe first rule says to add 4 to the first term of the ordered pair, starting from 2. So the first term of the second ordered pair would be 2+4 = 6.The second rule says to subtract 4 from the second term of the ordered pair, starting from 28. So the second term of the second ordered pair would be 28-4 = 24.
Therefore, the second ordered pair using the terms in each sequence is B (6, 24).
The third ordered pair using the terms in each sequence would be C (14,16) and the fourth ordered pair would be D (10,20)This is because:
C (14,16) can be obtained by adding 4 to first term of B(6,24) which is 6+4 = 10 and subtracting 4 from second term of B(6,24) which is 24-4=20.
D (10,20) can be obtained by adding 4 to first term of C(14,16) which is 14+4 = 18 and subtracting 4 from second term of C(14,16) which is 16-4=12.
So the sequence list of ordered pair would be:
First order: A (2,28)
Second order: B(6,24)
Third order: C (14,16) D (10,20)
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The rectangular floor of a classroom is 36 feet in length and 27 feet in width.A scale drawing of the floor has a length of 12 inches.What is the area, in square inches, of the floor in the scale drawing?
The area of the scale drawing is 108 square inches.
I know this because I divided 36 by 13 to get 3. Then I took 27/3 and got 9. So I knew that the scale drawing was 9 by 12 and so then I just multiplied 9 by 12 and got 108
Two piecewise functions are shown below. What is the value of 3h(2) + 4g(1)?
Answer: In order to calculate the value of 3h(2) + 4g(1), we would need to know the specific functions h(x) and g(x) that you are referring to. Without more information, it is not possible to determine the value of the expression.
Typically, piecewise functions are defined by several different expressions, each defined over a different interval of the input variable x. To evaluate a piecewise function at a specific value of x, we must first determine which interval that value of x falls into, and then use the corresponding expression for that interval to find the output value.
Are you able to provide the piecewise functions, or are you just using them as an example?
Also, in case if you want to describe the functions in words, please let me know.
Step-by-step explanation:
Find the area of the shaded region
On solving the provided question we can say that - surface area of the following figure cuboid will be - 148cm²
what is surface area ?An indication of the overall space occupied by an object's surface is its surface area. A three-dimensional shape's surface area is the total amount of space that surrounds it. A three-dimensional shape's entire surface area is known as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face. As an alternative, you may use the formula below and name the box's dimensions as follows: Surface (SA) = 2lh + 2lw + 2hw. Surface area is a measurement of the entire amount of space filled by a three-dimensional shape's surface (a three-dimensional shape is a shape that has height, width, and depth).
Total Surface Area = 2(lw + bw + lb)
Total Surface Area = [tex]2(24 + 30 + 20)[/tex]
Total Surface Area = [tex]148cm^2[/tex]
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On solving the provided question we can say that - surface area of the following figure cuboid will be - 148cm²
what is surface area ?
An indication of the overall space occupied by an object's surface is its surface area. A three-dimensional shape's surface area is the total amount of space that surrounds it. A three-dimensional shape's entire surface area is known as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face. As an alternative, you may use the formula below and name the box's dimensions as follows: Surface (SA) = 2lh + 2lw + 2hw. Surface area is a measurement of the entire amount of space filled by a three-dimensional shape's surface (a three-dimensional shape is a shape that has height, width, and depth).
Total Surface Area = 2(lw + bw + lb)
Total Surface Area = - 148cm²
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Find the quartiles and interquartile range of the following data. 6, 15, 8, 13, 3, 18, 0, 5, 5, 12
Answer:
Q1 - 5
Q3 - 12.75
Interquartile Range = 7.75
(i think)
Step-by-step explanation:
Please find the perimeter of this irregular shape
Answer:
30
Step-by-step explanation:
Estimate number of jelly beans in 1 litre jar.
PLS HELP I HAVE NO IDEA
Complete the remainder of the table for the given function
y=x/2 + 5
Answer:
Step-by-step explanation:
(-2,4)
(0,5)
(2,6)
(4,7)
Answer: 4, 5, 6, 7,
Step-by-step explanation: From the formula y = x / 2 + 5
substitute x with the value -2
It becomes -2 / 2 + 5
that equals 4
then do the same for the rest
when x = 0
y = 0 / 2 + 5
y = 5
when x = 2
y = 2 / 2 + 5
y = 1 + 5
y = 6
when x = 4
y = 4 / 2 + 5
y = 2 + 5
y = 7
I hope this was helpful
will mark u brainliest
Answer:
( - 7, - 1, 1, 4 )
Step-by-step explanation:
( x, y )
where,
x is Domain
y is Range
Hence,
Domain is ( - 7, - 1, 1, 4 )
what is the answer to 4^43
Answer:
7.737
Step-by-step explanation:
Michelle has four white socks two black socks and two gray socks in her drawer she pulled that one sock on the drawer without looking she's not put it back then Michelle Pulls a second Sock from the drawer .what is the probability that Michelle pulls two white socks from the drawer a.3/14 b. 3/16 c. 1/16 d. 1/2
Answer:
3/14
Step-by-step explanation:
prob for the 1st sock=4/8=1/2
prob for the 2nd sock=3/7(there's 7 socks left now and only 3 were white since she pulled one out and didn't put it back)
so the prob of both being white is 1/2*3/7=3/14
Round your answer to the nearest hundredth.
?
B
С
50°
7
9514 1404 393
Answer:
BC ≈ 5.87
Step-by-step explanation:
The law of sines is applicable.
a/sin(A) = 7/sin(50°)
Angle A is the complement of angle B, so we have ...
a = 7(sin(40°)/sin(50°))
a ≈ 5.8736974
The length of BC is about 5.87 units.
Help please??!!!!!!!!!
Answer:
c
Step-by-step explanation:
the answer is c
hope it helps