solve by substitution
y = -21 – 4x
8x + 8y = -24

Answers

Answer 1
Answer:
x=-6
y=3

Explanation:
y=-4x-21
8x+8y=-24

y=-4x-21
8x+8(-4x-21)=-24

y=-4x-21
-24x-168=-24

y=-4x-21
x=-6

y=-4(-6)-21
x=-6

y=3
x=-6

(-6,3) this is in point form in case you need it

Related Questions

I need help on this one please

Answers

Answer:

it is D

Step-by-step explanation:

just reflect by y=-1 its easy

The length of a rectangle is 3 less than twice the width. The perimeter of the rectangle is 66. Find the length and width of the rectangle.

Answers

Answer:

(2w-3)2+2w=66

4w-6+2w=66

6w=66+6

6w=72

w=12

l=24-3

l=21

Find the common ratio of the geometric sequence 17,-51,153,...

Answers

Answer:

The answer is - 3

Step-by-step explanation:

To find the common ratio ( r) of a given sequence , divide the previous term by the next term.

That's

[tex]r = - \frac{51}{17} = - 3 \: \: \\ or \\ r = - \frac{153}{51} = - 3[/tex]

Since the common ratio is the same for any of the terms chosen , the common ratio is - 3

Hope this helps you

A pyramid has a square base with an area of 169 ft.2. What is the perimeter of the base of the pyramid?

Answers

Answer:338

Step-by-step explanation:

169/2 = 84.5 (base is 84.5) 84.5 * 4 (sides) = 338

Answer:

:)

Step-by-step explanation:

52

Sq rt(169) - 13

13 is the side length

13*4=52

bc = ad

solve for a

Answers

Answer:

[tex]\huge\boxed{a=\frac{bc}{d}}[/tex]

Step-by-step explanation:

In order to find the value of a when we have the equation [tex]bc=ad[/tex], our goal is to isolate a on one side.

The key question here is: what's stopping a from being alone on one side? That would be it being multiplied by [tex]d[/tex]. If we were able to remove the d, we would have a by itself.

Since we are multiplying a and d, we can get rid of the d by dividing both sides by d.

We have to divide both sides of the equation by the same value in order to keep it equal.

[tex]bc \div d = ad \div d\\\\\frac{bc}{d}=a\\\\a = \frac{bc}{d}[/tex]

Hope this helped!

Maggie's brother is 5 years younger than twice her age. The sum of their ages is 22.
How old is Maggie?

Answers

Maggie is 9 years old

Answer:

9 years old

Step-by-step explanation:

Let maggie's age be m,

and let maggie's brother's age be b

b = 2m - 5,

m + b = 22

Substitute "2m - 5" for b in the second equation (substitution)

m + (2m - 5) = 22 -> Remove parenthesis

m + 2m - 5 = 22 -> Combine like terms

3m = 22 + 5 = 27 -> Divide either side by 3

m = 27/3 = 9

Solution: Maggie is 9 years old

please
Find the surface area of the prism.

Answers

Isolate for x to find the length of the prism


Reason abstractly. Are all horizontal lines parallel? Use slope
explain how you know.

Answers

Answer:

All horizontal lines are NOT parallel.

Step-by-step explanation:

We learned that lines go on forever.  

If one line is slightly slanted, and the other line is completely straight,  these lines are not parallel, as they will meet at some point.

Hope this helped :)

Justify each step using property of equality. -6(-p+8) = -6p + 12

Answers

Answer:     -36

Step-by-step explanation: distribute -6 through the parentheses 6p-48-6p+12 since two opposites add up tp zero remove them from the expression -48+12

                          ANSWER -36

State all integer values of xx in the interval \left[-1, 5\right][−1,5]

Answers

Answe67

Step-by-step explanation:

Which problem can be solved using this equation .15m + 35=.25. + 20

Answers

I think the number 1 because it can be mutilplief by any and give u the same answer

Bob is trying to see if his shadow is longer than Kevin’s. Kevin is 3 feet tall, and Bob is 2½ feet tall. Kevin’s shadow is 5 feet long. Help Bob find the length of his shadow

Answers

Given parameters:

Height of Kevin  = 3ft

Height of Bob = 2.5ft

Hieght of Kevin's shadow = 5ft

Unknown:

Length of Bob's shadow = ?

We can simply set up simple ratio to solve this problem.

 The ratio of Kevin's height to Bob's height is 3 : 2.5

  The ratio of their shadow should also be 5: Bob's shadow height

Equating the two of them should give a fairly constant ratio;

         [tex]\frac{3}{2.5} = \frac{5}{Bob}[/tex]  

            3Bob  = 5 x 2.5

 Bob's shadow height  = [tex]\frac{5 x 2.5}{3}[/tex]   = 4.2ft

The height of Bob's shadow is  4.2ft.

On which number line do the points represent negative 4 and 1 over 2 and +3?

Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 3rd tick mark to the left of 0. A point labeled T is placed between the 4th and the 5th tick marks to the right of 0.
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed is between the 4th and 5th tick marks to the left of 0. A point labeled T is placed between the 2nd and 1st tick marks to the left of 0.
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 1st tick mark to the left of 0. A point labeled T is placed between the 2nd and the 3rd tick mark to the right of 0. answer and u get brainliest

Answers

Answer:

Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.

Step-by-step explanation:

The points given are (-4.5,0) and (3,0), which means the points are on the x-axis. Point R (-4.5,0) will be located to the left of 0, the negative side of the number line between the 4th and 5th marks. Point T (3,0) will be located to the right of 0, the positive side of the number line at the 3rd mark.

The second answer is incorrect because point (-4.5,0) is not on the right side of 0 but on the left side.

The third answer is incorrect because point T(3,0) is place between 2 and first mark instead of the third mark.

The fourth answer is incorrect because R (-4.5,0) is placed on the first mark instead of between 4th and 5th mark.

Answer:

Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.

If _A = 28°, what must the measure of D be in order for A ABC to be similar
to A DEF?
A. 14
B. 28
C. 31
D. 62°

Answers

Answer:

62°

Step-by-step explanation:

If it is a right triangle, subtract 90, from 180 and then subtract 28 to get D.  D should = 62°

D must be equal to 28° in order for triangle ABC to be similar to triangle DEF.

The correct answer is option B.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

We know that if two angles of a triangle are congruent to two angles of another triangle, then the triangles are similar.

Since angle A is congruent to angle D, we need to find the value of D that makes this true.

Therefore,

D must be equal to 28° in order for triangle ABC to be similar to triangle DEF.

Learn more about triangles here:

https://brainly.com/question/25950519

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Round 7,347,803 to the nearest hundred thousand

Answers

Answer:

7,300,000

Step-by-step explanation:

The rounding of the hundred thousands place depends on the ten thousands place which depends on the thousands place. there was a 4 in the ten thousands place which means you would round down.

The length of the window is 2m longer than its width and the area is 32m^

Answers

Answer:

X¹= -2 + 2√33

X²= -2 - 2√33

Step-by-step explanation:

X × (X+2) = 32

X² + 2X = 32

X² + 2X - 32= 0

Δ=132

X= -2 ± 2√33

X¹= -2 + 2√33

X²= -2 - 2√33

(You can change the 2√33 to 11,5 if you want to)

Over what interval is the graph of y=−2 +|x− 2| increasing?
a. (2, ∞)

b. (−2, ∞)

c. (−∞, −2)

d. (−∞, 2)

Answers

Answer:

(2, ∞)

Step-by-step explanation:

An absolute value graph at (0, 0) is an up facing V shape graph. After a few transformation, according to the equation y = −2 + |x− 2|, we have our vertex at (0, - 2). It remains at up facing V graph.

x - h,

x - 2,

x - (+ 2),

h = 2

Therefore our slope is 2, with out vertex at (0, - 2). If we plot our graph, you can see that on the interval (2, ∞) the graph increases...

a parallelogram has a base of 9 units and an area of 12 square units. what is the corresponding height for the base

Answers

1 What is one into one? 1

Justin owns a food truck that sells tacos and burritos. He only has enough supplies to make 110 tacos or burritos. He sells each taco for $3.25 and each burrito for $5.75. Justin must sell a minimum of $520 worth of tacos and burritos each day. If 39 tacos were sold, determine the maximum number of burritos that the Justin could sell that would meet the requirements. If there are no possible solutions, submit an empty answer.

Answers

Answer:

788

Step-by-step explanation:

What does "K" stand for for proportinial relationships

Answers

Answer:

y/x = k

Step-by-step explanation:

K is the constant of proportionality.

What is the missing number in each circle?
b
2:3:5 = ○ : 9 : ○

Answers

Answer:

7 and. 10 uvbuv7cycyyccu xxx yxr x rxytscc6vucc ttyl j

Simplify the following expression.
44[(9 + 3) + 72 - 6 * 2.5 - 19] - [42 - 3(77 + (3.5 2)) - 9]

Answers

The value of the expression is 2419.

The required answer is 2400.5

What is simplification?

Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube  roots, plus and minus.

Now the given expression is,

44[(9 + 3) + 72 - 6 * 2.5 - 19] - [42 - 3(77 + (3.5 - 2)) - 9]

It can be simplified using PEMDAS rule.

P is parenthesis

E is exponents

M is multiplication

D is division

A is addition

S is subtraction

Firstly we will solve parenthesis, thus

44[(9 + 3) + 72 - 6 * 2.5 - 19] - [42 - 3(77 + (3.5 - 2)) - 9]

= 44[(12) + 72 - 6 * 2.5 - 19] - [42 - 3(77 + (1.5)) - 9]

= 44[12 + 72 - 6 * 2.5 - 19] - [42 - 3(78.5) - 9]

Now we will solve multiplication,

= 44[12 + 72 - 15 - 19] - [42 - 235.5 - 9]

Now we will solve addition,

= 44[84 - 15 - 19] - [42 - 235.5 - 9]

Now we will solve subtraction,

= 44[84 -34] - [42 - 244.5]

= 44[50] - [42 - 244.5]

= 44[50] - [-200.5]

= 2200+  200.5

= 2400.5

Thus, the required answer is 2400.5

To learn more about simplification :

https://brainly.com/question/893068

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;))))))))))))))))))))))))))))))))))))))))))))))))))))))))

Answers

Answer:

;)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

Outcome:

Reported

Reason:

Sorry, but this isn't a question. It violates the Community Guidelines, and it isn't the purpose of Brainly. The purpose of brainly is to help people with homework or questions they have and rewards people who help other people. This question is giving free points to people regardless if they were a help or not.

what is 35+25in GCF​

Answers

Answer:

5

Step-by-step explanation:

They both have factors of 5.

5 is also the GREATEST factor they have in common!

5,10,15,20,25,30,35,40,45...

Answer:

the answer is 5

Step-by-step explanation:

A survey was conducted of students at a high school and at a college to determine students' favorite subjects. The results are shown on the table.

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is 35%

Marco spent $85.43 on a new pair of
shoes, $21 on a t-shirt, and $7.84 on a
pair of socks. If he gave the sales clerk
$120, how much change should he
receive?

Answers

Answer:

5.73

Step-by-step explanation:

Answer:

He should have $5.73 as change

Step-by-step explanation:

First add 85.43 with 21 and 7.84 and then do 120 - 114.27.

Simplify the expression.
(5+i)(2-7i)

Answers

Answer:

17-33i

Step-by-step explanation:

Multiply using the foil method than combined the real and imaginary parts of the expression

what is the scale factor of the dilation

Answers:
A: 3
B:1/4
C:4
D:1/3

Answers

The answer for this question is A: 3

What are the two values on a number line that are a
distance of 5 from 0?

Answers

Answer:

the two values that are a distance of 5 from 0 are -5 and 5.

Step-by-step explanation:

if you look at a number line, you will see that the number 0 is in the middle. if you count 5 from each side, it's -5 and 5. any other number would have a greater distance than 5 from 0. hope this helps.

Find the linear function with the following properties.

f(−4)=6
Slope of f=−6

Answers

Given:

f(−4)=6

Slope of f=−6

To find:

The linear function with the given properties.

Solution:

We have,

f(−4)=6

It means, the value of linear function is 6 at x=-4. So, the linear function passes through the point (-4,6).

Slope of f=−6

The point slope form of a linear function is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope of the linear function.

On substituting the values, we get

[tex]y-6=(-6)(x-(-4))[/tex]

[tex]y-6=-6(x+4)[/tex]

[tex]y-6=-6x-24[/tex]

Add 6 on both sides.

[tex]y-6+6=-6x-24+6[/tex]

[tex]y=-6x-18[/tex]

The function form of this linear equation is

[tex]f(x)=-6x-18[/tex]

Therefore, the required function is [tex]f(x)=-6x-18[/tex].

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