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3 years ago

GH is tangent to both circle A and circle E. Determine the length of HE.

Mathematics

1 answer:

nevsk [136]3 years ago

6 0

Answer:

3 unit is the correct answer

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Can any of you math wiz help me I am having trouble.

Aleksandr-060686 [28]

Answer:

1 - True

2 - False

3 - False

4 - True

Step-by-step explanation:

N/A

5 0

2 years ago

Read 2 more answers

Find the intervals on which the function is increasing or decreasing.

Assoli18 [71]

To solve this, you have to know that the first derivative of a function is its slope. When an interval is increasing, it has a positive slope. Thus, we are trying to solve for when the first derivative of a function is positive/negative.

f(x)=2x^3+6x^2-18x+2
f'(x)=6x^2+12x-18
f'(x)=6(x^2+2x-3)
f'(x)=6(x+3)(x-1)
So the zeroes of f'(x) are at x=1, x=-3
Because there is no multiplicity, when the function passes a zero, he y value is changing signs.
Since f'(0)=-18, intervals -3<x<1 is decreasing(because -3<0<1)
Thus, every other portion of the graph is increasing.
Therefore, you get:

Increasing: (negative infinite, -3), (1, infinite)
Decreasing:(-3,1)

6 0

3 years ago

Solving one-step inequalities by multiplying/dividing <img src="https://tex.z-dn.net/?f=14v%20%5Cleqslant%2014" id="TexFormul

liubo4ka [24]

Answer: v <= 1

Step-by-step explanation:

When you have a variable by a number, you do the opposite of multiplying, so you divide

Since there's only 14v you divide 14 from itself leaving just the variable

14 ÷ 14 = 1

You repeat this and divide on the other side

14 ÷ 14 = 1

Since you arent dividing by a negative on both sides, the arrow stays the same

v <= 1

Hope this helps!

5 0

3 years ago

There are 12 inches in 1 foot. Jada is working on improving her vertical jump. She records,

guajiro [1.7K]

Answer:

There are 72 inches in 6 feet.

Step-by-step explanation:

Given:

There are 12 inches in 1 foot.

Jada is working on improving her vertical jump.

Currently, her standing reach is 6 feet from the ground.

Now, to find the inches in 6 feet.

Let the inches in 6 feet be $x.$

As given:

In 1 foot there are 12 inches.

So, 1 foot is equivalent to 12 inches.

Thus, 6 feet is equivalent to $x$

Now, to find using cross multiplication method:

$\frac{1}{12} =\frac{6}{x}$

By cross multiplying we get:

$x=72$

So, the inches in 6 feet = 72.

Therefore, there are 72 inches in 6 feet.

3 0

4 years ago

Find the angle between 0° and 360° that is coterminal with a 443° angle.

Yakvenalex [24]

Answer:

If you rotate an angle 360 degrees around, your final angle will be facing the same direction

Thus, the coterminal angle is $443^\circ-360^\circ=83^\circ$

4 0

3 years ago