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2 years ago

Substitution Method y=x-4 y=4x-10

Mathematics

1 answer:

ira [324]2 years ago

4 0

Answer:

x=2 and y= -2

Step-by-step explanation:

Substitute y=x-4 in second equation

x-4=4x-10

get x terms on one side and numbers on other sides

4x-x=10-4

3x=6

divide 3 on both sides

x=2

substitute x=2 in y=x-4

y=2-4

y= -2

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The length of a rectangle is twice its width. The Perimeter is 42 cm. Find the length of each side.

lakkis [162]

Answer:

A) L = 2*W

B) 2L + 2W = 42

We'll put Equation A) into B)

2*2W + 2W = 42

4W + 2W = 42

6W = 42 cm

Width = 7 cm

Length = 14 cm

Step-by-step explanation:

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3 years ago

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1 year ago

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2 years ago

In triangle ABC, angle bisectors line AD, line BE, and line CF meet at I. If DI = 3, BD = 4, and BI = 5, then compute the area o

Nikitich [7]

The area of triangle ABC is the amount of space on the triangle

The area of the triangle is 54.84 square units

<h3>How to determine the area of triangle ABC</h3>

Start by drawing the triangle (see attachment)

Next, calculate the measure of angle B using the following tangent ratio

$\tan(B/2) = \frac 34$

This gives

$\tan(B/2) = 0.75$

Take the arc tan of both sides

$B/2 = 36.87$

Multiply by 2

$B = 73.74$

Next, calculate the length of side AD using the following equation

$AD = \tan(B) * BD$

This gives

$AD = \tan(73.74) * 4$

$AD =13.71$

The area of the triangle is then calculated as:

$Area = AD * BD$

This gives

$Area = 13.71 * 4$

$Area = 54.84$

Hence, the area of the triangle is 54.84 square units