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3 years ago

10 POINTS IDENTIFY THE SLOPE, Y-INTERCEPT AND GRAPH. 1. Y = 2x + 3 2. Y = 3/4x - 2

Mathematics

2 answers:

Alenkasestr [34]3 years ago

4 0

Answer for problem 1: slope = 2, y intercept = 3

Answer for problem 2: slope = 3/4, y intercept = -2

Explanation:

Both equations are in the form y = mx+b. This is known as slope intercept form. This is because we can read off the values of the slope and y intercept very quickly. We have y = 2x+3 match up with y = mx+b. The m is the slope and b is the y intercept. So m = 2 and b = 3 for this equation. A similar situation happens with the other equation as well. It might help to rewrite the second equation into y = (3/4)x + (-2).

Gnesinka [82]3 years ago

4 0

Answer:

slope: 1.) 2 ,,, 2.) 3/4

y-int: 1.) (0,3) ,,, 2.) (0,-2)

graph: attached in pictures/ blue line represents y=2x+3 ,,, red line represents y=3/4-2

Step-by-step explanation:

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Triangles ABC and DEF are similar. AB = 15 cm, BC = 18 cm, and EF = 6 cm. What is DE? A. 4 cm B. 5 cm C. 6 cm D. 7 cm

skad [1K]

ΔABC is similar to ΔDEF
Try to pair up all the similar sides.
AB = 15 cm
DE = ? cm

BC = 18 cm
EF = 6 cm

Now all you have to do is find out how the triangles are similar.
18/6 = 3
This means that triangle ABC is 3 times bigger than DEF.
15/3 = 5

So the answer is:
B. 5 cm

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Given:

The length of the entire rectangle is 10x + 7.

The width of the entire rectangle is 6x.

The length of the unshaded rectangle is 4x - 5.

The width of the unshaded rectangle is 2x.

We need to determine the area of the shaded region of the rectangle.

Area of the entire rectangle:

The area of the entire rectangle can be determined using the formula,

$A=length \times width$

Substituting the values, we have;

$A_1=(10x+7)(6x)$

$A_1=60x^2+42x$

Thus, the area of the entire rectangle is 60x² + 42x

Area of the unshaded rectangle:

The area of the unshaded rectangle can be determined using the formula,

$A=length \times width$

Substituting the values, we have;

$A_2=(4x-5)(2x)$

$A_2=8x^2-10x$

Thus, the area of the unshaded rectangle is 8x² - 10x

Area of the shaded region of the rectangle:

The area of the shaded region of the rectangle can be determined by subtracting the area of the entire rectangle by the area of the unshaded rectangle.

Thus, we have;

$A=A_1-A_2$