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TEA [102]
2 years ago
13

Distribute: 5(x - 9)

Mathematics
2 answers:
Leni [432]2 years ago
4 0
=5x-45
multiply the 5 in
Evgen [1.6K]2 years ago
3 0
5 * x = 5x
5 * -9 = -45
so
5x - 45
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What is the value of k in the function ƒ(x) = 112 - kx if ƒ(-3) = 121?
DedPeter [7]
  f(x) = 112 - kx
 f(-3) = 112 - k(-3)
 f(-3) = 112 - (-3k)
 f(-3) = 112 + 3k
  121 = 112 + 3k
- 112  - 112
      9 = 3k
      3     3
      3 = k
6 0
2 years ago
A right pyramid with a square base has a base length
Anna71 [15]

Answer:  The correct option is (A)

Option (A) is correct.

3 0
3 years ago
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Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a2 + b2 = c2, which in this iso
abruzzese [7]

Complete Question

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a² + b² = c², which in this isosceles triangle becomes a² + a² = c². By combining like terms, 2a² = c². Which final step will prove that the length of the hypotenuse, c, is StartRoot 2 EndRoot times the length of each leg?

a) substitute values for a and c into the original pythagorean theorem equation.

b) divide both sides of the equation by two, then determine the principal square root of both sides of the equation.

c) determine the principal square root of both sides of the equation.

d) divide both sides of the equation by 2.

Answer:

c) determine the principal square root of both sides of the equation.

Step-by-step explanation:

Pythagoras Theorem for a right angled triangles states that:

a²+ b²= c²

But for an Isosceles Triangle, where two sides of the triangle are equal, we have:

a²+ a² = c²

By combining like terms

2a² = c²

We square root both sides of the equation.

√2a² = √c

√2a² = c

The final step will prove that the length of the hypotenuse, c, is StartRoot 2 EndRoot times the length of each leg = √2a² = c is Option c.

4 0
3 years ago
Read 2 more answers
You are carpeting a room in a house for your job. You have a boss that likes to play jokes, so instead of just giving you the di
forsale [732]

Answer:

x^2-4x+3

63\ \text{sq. units}

Step-by-step explanation:

l = Length = \dfrac{x^2-x-6}{x-5}

w = Width = \dfrac{x^2-6x+5}{x+2}

Area is given by

A=lw\\\Rightarrow A=\dfrac{x^2-x-6}{x-5}\times\dfrac{x^2-6x+5}{x+2}\\\Rightarrow A=\dfrac{x^2-3x+2x-6}{x-5}\times\dfrac{x^2-5x-1x+5}{x+2}\\\Rightarrow A=\dfrac{(x-3)(x+2)}{x-5}\times\dfrac{(x-5)(x-1)}{x+2}\\\Rightarrow A=(x-3)(x-1)\\\Rightarrow A=x^2-4x+3

Area of the room is x^2-4x+3.

If x=10

Area of the room

A=x^2-4x+3=10^2-4\times 10+3\\\Rightarrow A=63\ \text{sq. units}

So, the amount of carpet needed would be 63\ \text{sq. units}.

4 0
2 years ago
The temperature of lake water over a period of time is shown in the graph below.
castortr0y [4]

Answer:

Answers are 3 AM ; 10 , 54

Step-by-step explanation:

We are given a graph.

Recording of temperature starts from 9 PM.

So from Graph,

Temperature ate 9 PM = 59°F

Temperature ate 11 PM = 54°F

Temperature ate 1 AM = 51°F

Temperature ate 3 AM = 50°F

Temperature ate 5 AM = 51°F

Temperature ate 7 AM = 54°F

Temperature ate 9 AM = 59°F

So, At 3 AM the water is at its lowest temperature.

and

After 10 hours passed, the temperature of the lake is 54°F.

Therefore, Answers are 3 AM ; 10 , 54

7 0
3 years ago
Read 2 more answers
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