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2 years ago

64x-16 I need 3 equivalent expressions

Mathematics

1 answer:

Daniel [21]2 years ago

6 0

Answer:

8 (8x - 2)

(64) x X - 16

4 (16 x- 4)

Step-by-step explanation:

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Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-c

natali 33 [55]

Answer: By the slope formula.

Step-by-step explanation:

Given: ABC is a triangle (shown below),

In which A≡(6,8), B≡(2,2) and C≡(8,4)

And, D and E are the mid points of the line segments AB and BC respectively.

Prove: DE║AC and DE = AC/2

Proof:

Since, And, D and E are the mid points of the line segments AB and BC respectively.

Therefore, By mid point theorem,

coordinate of D are $(\frac{2+6}{2} , \frac{2+8}{2} ) = (\frac{8}{2} , \frac{10}{2} )= (4,5)$

Coordinate of E are $(\frac{2+8}{2} , \frac{2+4}{2} ) = (\frac{10}{2} , \frac{6}{2} )= (5,3)$

By the distance formula,

$DE=\sqrt{(5-4)^2+(3-5)^2}=\sqrt{5}$

$AC=\sqrt{(8-6)^2+(4-8)^2}=2\sqrt{5}$

By the slope formula,

Slope of AC = $\frac{4-8}{8-6} = \frac{-4}{2} = -2$

Slope of DE = $\frac{3-5}{5-4} = \frac{-2}{1} = -2$

Statement Reason

1. The coordinate of D are (4,5) and 1. By the midpoint formula

the coordinate of E are (5,3)

2. The length of DE = √5 2. By the Distance formula

The length AC = 2√5 ⇒ Segment DE

is half the length of segment AC

3. The slope of DE = -2 and the 3. By the slope formula

slope of AC = -2

4. DE║AC 4. Slopes of parallel lines are equal

7 0

4 years ago

Read 2 more answers

SECOND TIME POSTING<br> Find the area of the shaded region.

topjm [15]

Answer:

The answer is 25.

Step-by-step explanation:

150/6 is 25

I think that is the correct answer sorry I didn't answer before didn't see the problem.

7 0

3 years ago

The water level in a pond decreased from 12 feet deep to 9 feet deep.What is the percent decrease in the water level?

lesya692 [45]

Answer:

The decrease as a percent is -300%

Step-by-step explanation:

6 0

3 years ago

Samuel walks forward 19 steps. He represents this movement with a positive 19. How would he represent the opposite of this numbe

spayn [35]

Answer: -38

Step-by-step explanation:

First he would have to walk back 19 steps to get back to his orginal position, then he would have to further go back another 19 steps.

7 0

3 years ago

If the length of a leg of a triangle is 39.2 and the area of the triangle is 63 what is the length of the other leg

Nadya [2.5K]

Answer:

The length of the other leg is $3.21\ units$

Step-by-step explanation:

I will assume that the triangle is a right triangle

In a right triangle the legs are perpendicular

The area of a right triangle is equal to

$A=\frac{1}{2}(a)(b)$

where

a and b are the legs of the triangle

In this problem we have

$a=39.2\ units$

$A=63\ units^{2}$

substitute the values

$63=\frac{1}{2}(39.2)(b)$

$126=(39.2)(b)$

$b=126/(39.2)=3.21\ units$

7 0

3 years ago