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galina1969 [7]
3 years ago
10

Solve the following equation for y: 35x - 7y = 49, what is the slope?

Mathematics
1 answer:
agasfer [191]3 years ago
4 0

Answer:

y = 5x - 7

slope = 5

Step-by-step explanation:

35x - 7y = 49

Subtract 35x from both sides.

-7y = -35x + 49

Divide both sides by -7.

y = 5x - 7

The equation is now in the slope-intercept form, y = mx + b, where m is the slope.

slope = m = 5

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Answer:

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Step-by-step explanation:

The origin in a graph is the point (0, 0) where x and y are both 0. If you move 4 units left, x is -4. And if you go down 2 units, y is -2. So the ordered pair would be (-4, -2)

3 0
3 years ago
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A golf player is trying to make a hole-in-one on the miniature golf green shown.
Flauer [41]

The path of the ball is an illustration of absolute equation.

The equation of the path is: y =- \frac{12}7|x- 4.8| + 6.4

The given parameters are:

(h,k) = (4.8,6.4) --- the vertex (i.e. the point where the ball hits the wall)

(x_1,y_1) = (2,1.6)

(x_2,y_2) = (7.6,1.6)

An absolute function is represented as:

y = a |x - h| + k

Substitute (h,k) = (4.8,6.4)

y = a |x - 4.8| + 6.4

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1.6 = a|2 - 4.8| + 6.4

1.6 = a|- 2.8| + 6.4

Remove absolute bracket

1.6 = 2.8a + 6.4

Collect like terms

2.8a = -6.4+1.6

2.8a =- 4.8

Solve for a

a =-\frac{4.8}{2.8}

Simplify

a =-\frac{12}{7}

Substitute a =-\frac{12}{7} in y = a |x - 4.8| + 6.4

y =- \frac{12}7|x- 4.8| + 6.4

Hence, the equation of the path is: y =- \frac{12}7|x- 4.8| + 6.4

See attachment for graph that models the path

Read more about absolute equations at:

brainly.com/question/2166748

5 0
2 years ago
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Irina18 [472]

Answer:

x=4

Step-by-step explanation:

AB + BC = AC

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Substituting what we know

6x + x-5 = 23

Combine like terms

7x -5 = 23

Add 5 to each side

7x-5+5 =23+5

7x = 28

Divide each side by 7

7x/7 = 28/7

x=4

7 0
3 years ago
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WARRIOR [948]

(B)

Step-by-step explanation:

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scoray [572]
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I hope I did that right! And if I did, I hope that helped!
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