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zalisa [80]
3 years ago
11

Solve 4x^2-16x-84 by factoring, completing the square and, by quadratic formula(show work)

Mathematics
1 answer:
JulsSmile [24]3 years ago
7 0
The answer is in the picture

You might be interested in
A circle has an area of approximately 615 square millimeters. What is the diameter of the circle
noname [10]

Answer:

When using the given information, the diameter of the circle is going to be 28 mL.

Step-by-step explanation:

First, we need to know the formula for finding the area of a circle.

Area=r^2\pi

Now, we need to rearrange the formula so we can find the radius.

Radius=\sqrt{\frac{A}{\pi} }

Next, we plug in the given area into the equation.

Radius=\sqrt{\frac{615}{\pi}}

Radius=\sqrt{196}

Radius=14

Now that we have the radius, we can find the diameter. The radius is half the length of the diameter. So, in order to find the diameter, we have to multiply the radius by 2.

14 * 2=28

So, the diameter of the circle is 28 mL

3 0
3 years ago
Find the slope and y-intercept of the graph of the equation. show your work please.
choli [55]

Answer:

<h2>A. the slope is 8.</h2><h2>A. the y-intercept is 1</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

We have the equation y = 8x + 1.

Therefore:

m = 8, b = 1

5 0
3 years ago
Alexandra wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. How
iren2701 [21]

d

$5604.41 will be worth after 20 years I think

8 0
3 years ago
Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average
lutik1710 [3]
Let the distance of the first part of the race be x, and that of the second part, 15 - x, then
x/8 + (15 - x)/20 = 1.125
5x + 2(15 - x) = 40 x 1.125
5x + 30 - 2x = 45
3x = 45 - 30 = 15
x = 15/3 = 5

Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutes
The distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.
4 0
3 years ago
Read 2 more answers
What is the area of Shaded part?
svetlana [45]

Answer:

1π

Step-by-step explanation:

suppose the radius of semicircle P is r,

then the radius of semicircle Q = (r+d)/2  ... d≤r

radius of semicircle R = (r-d)/2

area P = 1/2 (r)²π

area Q = 1/2 ((r+d)/2)² π = 1/8 (r² + 2rd + d²)π

area R = 1/2 ((r-d)/2)² π = 1/8 (r² - 2rd + d²)π

shaded area = P-Q-R = 1/2 r²π - 1/4 (r² + d²)π

                                   = ((r² - d²)/4) * π

because there is no constant r value in the question and d value changes with the r change, when the vertical segment length equal the semicircle P radius (r), r=2 and d = 0

therefore the shaded area = ((2² -0²)/4)*π = 1π

8 0
3 years ago
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