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3 years ago

Solve the system of equations below by graphing both equations with a

Mathematics

1 answer:

Marat540 [252]3 years ago

4 0

Graph using slope and the y intercept

So y=x+5
You would plot the y intercept (0,5) and then go up 1 and to the right 1

The next graph plot y intercept (0,-1) and then go down 2 and to the right 1

And should look like the image

And your solution should be (-2,3) which is option c

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Write an equation in standard form of the line that passes through the given points (-2,6) (-8,-5)

Lunna [17]

Find the slope
m= -5-6 / -8-(-2)
m= -11/-6
m=11/6

Use slope and point to create equation
y-6= 11/6(x-(-2))
y-6=11/6x+22/6
y=11/6x+58/6
y=11/6x+29/3

Change to standard form
Standard form: ax + by = c
-11/6x+y=29/3

8 0

3 years ago

Read 2 more answers

camryn mason obtained a $1,200 loan for her scuba diving lessons. She borrowed the money for six months at 7% interest. Her mont

SVEN [57.7K]

Answer:

3.4296913278%

Step-by-step explanation:

1200-204.10 =996.9

204.1

x 100% = 3.4296913278% Theres probably another way to do this and im pretty sure this is correct

8 0

2 years ago

Given the function f(x) = 2|x + 6| – 4, for what values of x is f(x) = 6?

lara [203]

Answer:

x = -1 , - 11,

Step-by-step explanation:

| x | = x

|- x | = x

f(x) = 2 | x + 6 | - 4

x = - 1 , f( - 1) = 2 | - 1 + 6 | - 4 = 2 | 5 | - 4 = 10 - 4 = 6 , True

x = 1 , f( 1 ) = 2 | 1 + 6 | - 4 = 2 | 7 | - 4 = 14 - 4 = 10 , False

x = 11, f( 11 ) = 2 | 11 + 6 | - 4 = 2 | 17 | - 4 = 34 - 4 = 30 , False

x = - 11, f( - 11) = 2 | -11 + 6 | - 4 = 2 | - 5 | - 4 = 10 - 4 = 6 , True

x = 14 , f( 14 ) = 2 | 14 + 6 | - 4 = 2 | 20 | - 4 = 40 - 4 = 36 , False

x = -14 , f( - 14 ) = 2 | - 14 + 6 | - 4 = 2 | - 8 | - 4 = 16 - 4 = 12 , False

x = - 26 , f( - 26) = 2 | -26 + 6 | - 4 = 2 | -20 | - 4 = 40 - 4 = 36 , False

x = 26, f( 26 ) = 2 | 26 + 6 | - 4 = 2 | 32 | - 4 = 64 - 4 = 60 , False

Given f ( x ) = 6

f( x ) = 2 | x + 6 | - 4

6 = 2 | x + 6 | - 4

6 + 4 = 2 | x + 6| - 4 + 4 [ adding 4 to both sides ]

10 = 2 | x + 6 | + 0

5 = | x + 6 | [ dividing both sides by 2 ]

$- 5 =\ ( x+ 6) \ = 5\\\\$ $[ \ | x | = a\ => \ -a \ = x \ = a \ ]$

$- 5 - 6 = \ x + 6 - 6 \ = \ 5 - 6\\$ $[ \ subtracting \ by \ 6 \ ]$

$-11 = \ x \ = - 1$

3 0

2 years ago

The length of a rectangle is increased by 25% , but the width of the rectangle is decreased by 25%. By what percent was the rect

Yuki888 [10]

The rectangle's area decreased by 19%.

Length = L

Breadth = B

Original area = L x B

New area = A = L x (1 + 25%) x B x (1 - 25%)

A = L x B x 0.25 x 0.75 = L x B x 1.05

Therefore the area of the rectangle has decreased by 19%.

To find the location of a rectangle, multiply its width by means of its height. If we understand the sides of the rectangle which are different lengths, then we have each the height and the width.

The perimeter P of a rectangle is given through the system, P=2l+2w, wherein l is the period and w is the width of the rectangle. The area A of a rectangle is given by means of the method, A=lw, in which l is the duration and w is the width.

Learn more about rectangle here brainly.com/question/25292087

#SPJ4

6 0

1 year ago

Please help!! I am struggling on cross-sections

uranmaximum [27]

Answer:

I don’t know the answer I just need some points to ask more questions !!! have a good day !!

Step-by-step explanation:

7 0

3 years ago