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3 years ago

5

Which product is equivalent to 25x^2 - 16?

1 answer:

IRINA_888 [86]3 years ago

4 0

Option 1. Try multiplying and solving each of the equations.

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A gentleman is standing 10 feet from a streetlight. He is 5'6 tall and has a shadow of 24 feet. What is the height of the street

Goshia [24]

Answer:

Height of the streetlight ≈ 8 ft(nearest foot)

Step-by-step explanation:

The doc file displays the triangle formed from the illustration. x is the height of the street light. The distance from the gentle man to the street light is 10 ft. He has a height of 5.6 ft and the shadow formed on the ground is 24 ft long. The height of the street light can be calculated below.

The length of the tip of the shadow to the base of the street light is 34 ft. Similar triangle have equal ratio of their corresponding sides .

ab = 5.6 ft

The ratio of the base sides = 24/34

The ratio of the heights = 5.6/x

The two ratio are equal Therefore,

24/34 = 5.6/x

24x = 5.6 × 34

24x = 190.4

divide both side by 24

x = 190.4/24

x = 7.93333333333

x ≈ 8 ft

Height of the streetlight ≈ 8 ft(nearest foot)

7 0

3 years ago

A first year student deposits $250 into a savings account at the Owl Credit Union at Dundalk High School paying an annual intere

Brums [2.3K]

250 + 4 (4x250) = 500

3 0

3 years ago

If the slope of a line is -1 and two points on the line are (-9, 3) and (-10, r), what is the value of r?

ANEK [815]

Answer:

$r=4$

Step-by-step explanation:

We know that the slope of the line is -1.

We also know that the line passes through (-9, 3) and (-10, r).

We want to find the value of r.

First, let's figure out the equation of our line. We can use the point-slope form:

$y-y_1=m(x-x_1)$

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute -1 for m. Since we know the point (-9, 3), let's use this for (x₁, y₁).

Substitute:

$y-(3)=-1(x-(-9))$

Simplify:

$y-3=-(x+9)$

Distribute:

$y-3=-x-9$

Add 3 to both sides. So, our equation is:

$y=-x-6$

It passes through (-10, r) and we want to find the value of r. So, let's substitute -10 for x and r for y, since -10 is our x and r is our y. So:

$r=-(-10)-6$

Evaluate for r. Distribute:

$r=10-6$

Subtract:

$r=4$

So, the value of r is 4.

And we're done!

6 0

3 years ago

Help me plz, explain it

Darya [45]

The perimeter of a rectangle is found by multiplying the length by 2 and the width by 2 and adding them together.

P = 2L + 2W

Filling in the information given we can find the width:

16.8 = 2(3.6) + 2W

16.8 = 7.2 + 2W

2w = 16.8 - 7.2

2w = 9.6

w = 9.6 / 2

w = 4.8 in.

6 0

3 years ago

Read 2 more answers

Which represents where f(x) = g(x)?

djverab [1.8K]

Answer:

The second one.

Step-by-step explanation:

Both intercept twice at 0 and -4.

6 0

3 years ago