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2 years ago

14

Factor x^2-5x-24 i need help to figure this out

1 answer:

Mrac [35]2 years ago

3 0

Answer:

(x-8)(x+3)

Step-by-step explanation:

1) Find out what are the factors of the constant?

2) Which of those add to equal the coefficient before the x value?

In this particular equation, we have the constant being 24. The first two factors that come to mind are 6 and 4, and 8 and 3. Since it is -24, we need one of these numbers to be negative.

Let's look at our "b" value, or the coefficient behind the x value, 5. Looking at our factors and thinking of addition (since one of them must be negative, it will most likely be subtraction instead of addition) I can see that

8+ −3=5

which is one of the factors of -24.

This means that we can factor our equation using these numbers, getting us the following:

(x−3)(x+8)

Hope this helped!

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A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui

Sedbober [7]

Answer:

0.675 m/s

Step-by-step explanation:

Let height of shadow= y,CD=x

Height of man=2 m

Speed of man= $\frac{dx}{dt}=1. 8 m/s$

$\triangle ABD\sim\triangle ECD$

Therefore, $\frac{AB}{EC}=\frac{BD}{CD}$

$\frac{y}{2}=\frac{12}{x}$

$xy=24$

Differentiate w.r.t t

$x\frac{dy}{dt}+y\frac{dx}{dt}=0$

$x\frac{dy}{dt}=-y\frac{dx}{dt}$

$\frac{dy}{dt}=-\frac{y}{x}\frac{dx}{dt}$

When the man is 4 m from the building

Then, we have x=12-4=8 m

$\frac{dx}{dt}=1.8 m/s$

Substitute the values in above equation then, we get

$8y=24$

$y=\frac{24}{8}=3$

Substitute the values then we get

$\frac{dy}{dt}=-\frac{3}{8}\times 1.8=-0.675 m/s$

Hence, the length of his shadow on the building decreasing at the rate 0.675 m/s.

8 0

3 years ago

Please help me I don't know it

ValentinkaMS [17]

I believe the answer would be a but im not certain
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3 years ago

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A grocery store sells a bag of 4 oranges for $2.84. If arianna spent &3.55 on oranges, how many did she buy?

iogann1982 [59]

Answer:

5 dollors i just tookthe test 4

Step-by-step explanation:

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3 years ago

Write the equation of a line that is perpendicular to y= 2/3x + 3 and passes through the point (4, -8).

exis [7]

Answer:

Step-by-step explanation:

Perp. : -3/2

y + 8 = -3/2(x - 4)

y + 8 = -3/2x + 6

y = -3/2x - 2

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3 years ago

A little help? we're supposed to find x on these triangles and i'm a little stumped on this

hjlf

Answer:

147

Step-by-step explanation:

The other two options would be more closed and since this angle is open, it is the larger one.

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3 years ago