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atroni [7]
3 years ago
7

What is the inequality for x >or equal to -2 and x >or equal to 7

Mathematics
1 answer:
4vir4ik [10]3 years ago
8 0
The answer is x >_ -2 and x >_ 7.
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A ladder is leaning against a wall. The top of the ladder is 9 feet (ft) above the ground. If the bottom of the ladder is moved
Komok [63]

Step 1

<u>First situation</u>

when a ladder is leaning against a wall

Let

x-------> the distance of the bottom of the ladder from the wall

L-------> the length of the ladder

<u>Find the length of the ladder</u>

Applying the Pythagorean Theorem

L^{2} =x^{2}+ 9^{2} ------> equation 1

Step 2

<u>Second situation</u>

when the ladder will be lying flat on the ground

<u>Find the length of the ladder</u>

In this situation the length of the ladder is equal to

L=x+3

square both sides

L^{2}=(x+3)^{2} ------> equation 2

Step 3

equate equation 1 and equation 2

x^{2}+ 9^{2}=(x+3)^{2}\\x^{2}+81=x^{2} +6x+9\\ 6x=81-9\\6x=72\\x=12\ ft

therefore

<u>the answer is</u>

the length of the ladder is 12\ ft

see the attached figure to better understand the problem

5 0
3 years ago
Determine the equation of a line through the point (3,-4) that is perpendicular to the line y=3x+7
Lana71 [14]

Answer:

y = - \frac{1}{3} x - 3

Step-by-step explanation:

The equation of a line in slope- intercept fprm is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 7 is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{3}, thus

y = - \frac{1}{3} x + c ← is the partial equation of the perpendicular line

To find c substitute (3, - 4) into the partial equation

- 4 = - 1 + c ⇒ c = - 4 + 1 = - 3

y = - \frac{1}{3} x - 3 ← equation of perpendicular line

7 0
3 years ago
Which graph represents an odd function?
olga55 [171]
The 3rd graph should be it
7 0
4 years ago
Read 2 more answers
Write the sentence as an equation.
klasskru [66]
What they said was correct!!
confirming
5 0
3 years ago
Which values of a, b, and c correctly represent the answer in simplest form? 3 and one-half divided by 2 and one-fourth = a Star
maria [59]

Answer:

a = 1, b = 5, c = 9

Step-by-step explanation:

3 1/2 ÷ 2 1/4

= 7/2 ÷ 9/4

= 7/2 × 4/9

= (7*4)/(2*9)

= 28/18

= 14/9

= 1 5/9

Therefore

3 1/2 ÷ 2 1/4 = a b/c

Where,

a = 1, b = 5, c = 9

7 0
3 years ago
Read 2 more answers
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