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Naddik [55]
3 years ago
6

Whats an equation for (0,75) (7,40) in slope intercept form

Mathematics
1 answer:
Molodets [167]3 years ago
8 0

The slope-intercept form: y = mx + b.

m - slope, b - y-intercept

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (0, 75) → y-intercept (b = 75), and (7, 40).

Substitute the coordimates of the points to the formula of a slope:

m=\dfrac{40-75}{7-0}=\dfrac{-35}{7}=-5

<h3>Answer: y = -5x + 75.</h3>
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Given: △ABC, m∠C=90° m∠ABC=30°, AL ∠ bisector CL=6 ft. Find: LB
vlada-n [284]

For a better understanding of the solution given here please go through the diagram in the file attached.

To solve this question we will make use of the "Triangle Angle Bisector Theorem", which states that, "An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle."

Thus, in our question, we will have:

\frac{LB}{CL}= \frac{AB}{AC}

The above equation can be rearranged as:

LB=CL\times \frac{AB}{AC}=\frac{CL}{(\frac{AC}{AB})}...(Equation 1)

If we have a proper look at the denominator which is \frac{AC}{AB}, we note that in \Delta ABC, \frac{AC}{AB}=Sin(\angle ABC)=Sin(30^\circ)

Thus, (Equation 1) wil give us:

LB=\frac{CL}{Sin(30^\circ)} =\frac{6}{0.5}=12

<u>Therefore, LB= 12 feet</u>

3 0
3 years ago
X2 + 5x - 36
Hunter-Best [27]
What multiplied by (x-4) would make x2+5x-36
5 0
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The volume of the cube is 216 cubic units what is the side length
Naddik [55]

The side length is six units.

A cube has three measurements: length, width, and height

All the measurements have to be the same.

This allows you to cube root.

The cube root of 216 is 6.

The side length of the cube is 6 units.

Check:

6 * 6 * 6 = 216.

It is correct, so our answer is proven to be correct.

7 0
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Kobotan [32]

Answer:

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Step-by-step explanation:

Step 1: FOIL

x² + 8x + x + 8

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Darya [45]
First you find the unit rate. (Divide 2.76 by 18)
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Then divide 2.07 by 0.15.

The answer is 13.8 ounces.

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