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marshall27 [118]
1 year ago
8

What is the measure of one side of the square if its area is 100x² - 160x + 64?

Mathematics
1 answer:
earnstyle [38]1 year ago
8 0

The Area of a Square is the square of the measure of one side of the square.

Hence, given the expression for the area of a square, express the given area as the square of an expression to get the measure of one side.

The given expression is:

100x^2-160x+64

Rewrite the expression as:

\begin{gathered} 10^2x^2-(2\times10\times8)x+8^2 \\ =(10x)^2-(2\times10x\times8)+8^2 \end{gathered}

Recall the binomial expansion:

(a-b)^2=a^2-2ab+b^2

Substituting a=10x and b=8, it follows that the expression becomes:

(10x-8)^2

Since the area of a square is the square of the measure of one side, it follows that the measure of one side from the given expression is 10x-8.

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When a number is divided by -3, the result is 12 more than the number. What is the number?
otez555 [7]

Answer:

x = -9

Step-by-step explanation:

let the number = x

                                So  x ÷ -3 = x + 12

Mulitply both sides by -3:    x = -3x -36

Add 3x to both sides:        4x = -36

Divide both sides by 4:        x = -9

5 0
2 years ago
A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground.
solong [7]
Draw a diagram  (see attachment)

we can find the length of the ladder first using pythagorean theorem then use cos⁻¹(x) to find the angle measure
or
we can use tan⁻¹(x) to find the angle measure then use cos(x) to find the hyptotonuse
I'll use the first way


alrighty, so we can find the hypotnuse by using pythagoreano therrem which can be used for right triangles
so if legs are a and b and hytponuse is c then
a²+b²=c²

so
legs are 30 and 50
30²+50²=c²
900+2500=c²
3400=c²
sqrt both sides
10√34=c
the length of the ladder is 10√34 in



ok, so we know hyptonuse is 10√34

cos=adjacent/hypotonuse
but we can use cos⁻¹(x)
cos⁻¹(30/(10√34))=x°
use your calculator
59.03≈x°


the degree measure is about 59° and the length of the ladder is 10√34 in or about 59.3in

5 0
4 years ago
Read 2 more answers
What's 1+1 I will give brainliest
skad [1K]

Answer:

2

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

8 0
3 years ago
⚠️❗️⚠️❗️⚠️ 100 POINTS HELP ME FIND BOTH AREAS TROLLS GET REPORTED AND THEN THE POINTS WOULD BE TAKEN AWAY❗️⚠️❗️⚠️❗️⚠️
Nesterboy [21]

Answer:

pink's area: 114

teal's area: 183

Step-by-step explanation:

lmk if you need the work

4 0
3 years ago
The sum of 5 consecutive integers is 505.<br>What is the third number in this sequence?​
sweet-ann [11.9K]

Answer:

n (1)

n+1 (2)

n+2 (3)

n+3 (4)

n+4 (5th number)

Step-by-step explanation:

5n + 10 equals 505

505 -10 = 495 (like terms)

5n=495

n = 99

3rd number equals n plus 2

99 plus 2

101

4 0
4 years ago
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