Question 28 (1 point)

Mathematics

1 answer:

aniked [119]2 years ago

4 0

Answer:

+ 16

Step-by-step explanation:

x² - 8x = - 10

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + (- 4) = - 10 + (- 4)²

x² - 8x + 16 = - 10 + 16

thus 16 is added to both sides to complete the square

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jenna has a piece of paper that is 84 square inches in area. it is 10 1/2 inches long. what is the length of the piece of paper

skad [1K]

Here is the solution based on the given problem above.
Given: Area of the piece of paper = 84 square inches
Width = 10 1/2 or 10.5 inches long
? = length of the piece of paper
To find the area of an object, the formula would be A= L x W
Now, let's substitute the given values above
84in2 = L(10.5in)
Now, divide both sides with 10.5 and we get 8.
L = 8 inches.
Therefore, the length of the paper is 8 inches.
Hope this solution helps.

4 0

3 years ago

A ladder 6.5 m long rests against a vertical wall. If the foot of the ladder is 2.5m from the foot of the wall find upto how muc

Burka [1]

Answer:

The ladder reaches a height of 6 m.

Step-by-step explanation:

Given that,

Height of the ladder, H = 6.5 m

The foot of the ladder is 2.5 m from the foot of the wall.

We need to find the height does the ladder reach. If we consider a triangle in which hypotenuse is 6.5 m, foot of the ladder is 2.5 m then we need to find the height of the ladder i.e.

$H^2=b^2+h^2\\\\h^2=H^2-b^2\\\\h^2=(6.5)^2-(2.5)^2\\\\h=6\ m$