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Gnom [1K]
3 years ago
7

Given f(x) = x^2-6x - 16 Determine when f(x) = 0

Mathematics
1 answer:
Komok [63]3 years ago
5 0

Answer:

x = -8 or 8

Step-by-step explanation:

So, we need to know when x^2  - 6x - 16 = 0.

Let's solve this! :)

We can add 16 to both sides:

x^2 - 6x = 16

Now, we can simply tell that x^2 has to be 16 more than -6x, so the answer must be smaller than -6 or greater than 6.

By making an educated guess, we get x = -8 or x = 8 :)

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What is the product of (-4)(7) and why?
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Answer:

B

Step-by-step explanation:

negative 4 means that the 7 is being removed 4 times.

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3 years ago
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The diameter of a circle is 15in. Find the circumference to the nearest tenth (urgent)
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Answer:

I believe it is 47.1

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4 years ago
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Mr. Jones told his students they each need half of a piece of paper. Calvin cut his piece of paper horizontally, and Matthew cut
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Neither or them have a bigger half. Hope it helps!
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3 years ago
Help needed asap graph posted below
Aloiza [94]
Answer: D) (x+1)(x + 2)(x-3)

This is because the roots are x = -1, x = -2 and x = 3
Simply get all the numbers to each side to have 0 on the right side

x = -1 turns into x+1 = 0
x = -2 turns into x+2 = 0
x = 3 turns into x-3 = 0

The three factors are (x+1), (x+2) and (x-3)
Which leads to (x+1)(x+2)(x-3)

6 0
3 years ago
24. A flat roof rises at a 30° angle from the front wall of a storage shed to the back wall. The front wall is
katovenus [111]

Answer:

Length of the roof line is 17.4\ feet. And depth of the shed is 15.07\ feet

Step-by-step explanation:

Given front wall is 11.5 feet tall, back wall is 20.2 feet. And roof rises at  30° angle from the front wall.

Let h be the length of the roof line. And b the depth of the shed.

We can see it is a right angle triangle with opposite 20.2-11.5=8.7\ feet (see the attachment)

Now,

sin(30)=\frac{Opposite}{Hypotenuse}\\ \\sin(30)=\frac{8.7}{h}\\\\h=\frac{8.7}{0.5}\\\\h=17.4\ feet

Also,

tan(30)=\frac{Opposite}{Adjacent}\\\\tan(30)=\frac{8.7}{b}\\\\b=\frac{8.7}{tan(30)}\\\\b=\frac{8.7}{0.577}\\\\b=15.07\ feet

So, Length of the roof line is 17.4\ feet. And depth of the shed is 15.07\ feet

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3 years ago
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