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OlgaM077 [116]
3 years ago
14

What is the slope intercept form of the equation y+5= 4(x+8)

Mathematics
1 answer:
hram777 [196]3 years ago
7 0

Answer:

y=4x+27

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

y+5=4(x+8) ----> equation of the line into point slope form

Convert to slope intercept form

Isolate the variable y

Distributed left side

y+5=4x+32

subtract 5 both sides

y=4x+32-5\\ y=4x+27

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s2008m [1.1K]

Answer:

Suppose you earned extra money by having a part-time job. You open up a bank account in order to save your money. Your body acts similar to a bank account—you can “deposit” and “store” energy.

Step-by-step explanation:

7 0
3 years ago
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If the lengths of two sides of a triangle are 5 and 9, respectively, which of the following could be the length of the third sid
slamgirl [31]

There are two answers:

B) 5

C) 8

==============================================

Explanation:

If we had a triangle with sides a, b and c, then we can say

b-a < c < b+a

where b is larger than 'a'. This is the triangle inequality theorem

In this case, a = 5 and b = 9 so,

b-a < c < b+a

9-5 < c < 9+5

4 < c < 14

Telling us that c is some number between 4 and 14, not including either endpoint. If c is a whole number, then c could be any value from this set: {5,6,7,8,9,10,11,12,13}

We see that the numbers 5 and 8 are in this set. The values 3 and 15 are not in the set.

3 0
2 years ago
E: f= 3:7<br> f:g= 2:3<br> Work out e:9
Ksenya-84 [330]

Answer:

e f f g

3 7 2 3

6 14 14 21

e;g=6:21

e : g=2 : 7

Step-by-step explanation:

8 0
2 years ago
1. What is the value of the y variable in the solution to the following system of equations?
ollegr [7]

Part 1)

we have

3x-6y=3 ------> equation A

7x-5y=-11 ------> equation B

Multiply by -7 the equation A

-7(3x-6y)=-7*3

-21x+42y=-21 ------> equation C

Multiply by 3 the equation B

3*(7x-5y)=-11*3

21x-15y=-33 -------> equation D

Adds equation C and equation D

-21x+42y=-21 \\21x-15y=-33\\---------- \\ 42y-15y=-21-33\\27y=-54 \\ y=-2

therefore

<u>the answer Part 1) is the option A </u>

y=-2

Part 2)

we have

3x+y=6

y=-3x+6 ------> equation A

6x+2y=8

Simplify Divide by 2 both sides

3x+y=4

y=-3x+4 ------> equation B

the lines A and B are parallel lines, because the slope m is equal

so

The system has no solution

therefore

<u>the answer Part 2) is the option D</u>

There is no x value as there is no solution to the system.

Part 3)

we have

4x+2y=6 ------> equation A

x-y=3

y=x-3  ------> equation B

substitute equation B in equation A

4x+2[x-3]=6

6x-6=6

6x=12

x=2

therefore

<u>the answer part 3) is the option D</u>

x=2

Part 4)

Let

x---------> The number of one-step equations

y---------> The number of two-step equations

we know that

x+y=1,120

x=1,120-y -------> equation A

3x-2y=1,300 ------> equation B

substitute equation A in equation B

3[1,120-y]-2y=1,300

3,360-5y=1,300

5y=3,360-1,300

5y=2,060

y=412

therefore

<u>the answer part 4) is  the option D</u>

y=412

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pishuonlain [190]

Answer:

False.

Step-by-step explanation:

The number 5 IS a coefficient because it is the first number in the expression.

5 0
3 years ago
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