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Andrew [12]
3 years ago
9

What are the possible values of x in 32x + 20 = 28x − 16x2?

Mathematics
1 answer:
maw [93]3 years ago
8 0

Answer:

B .`-(1)/(8) stackrel(+)(-) (isqrt(79))/(8)`

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1.This circle is centered at the origin and contains the points two units away. Write the equation for this circle.
denis-greek [22]

Answer:

1. The location of the center of the given circle = The origin (0, 0)

The given points on the circumference of the circle = (1, √3), and (0, -2)

The general form of the equation of a circle, is presented as follows

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

∴ (h, k) = (0, 0)

The radius of the given equation is the distance from the center (0, 0) to either the point (0, -2) or (1, √3)

The distance from the center (0, 0) to the point (0, -2), which are points on the same ordinate,  r = y₂ - y₁

∴ r =  0 - (-2) = 2

r = 2

The equation of the circle is therefore;

(x - 0)² + (y - 0)² = 2²

∴ x² + y² = 2²

2. When x = 1, and y = √3, we have;

(1 - 0)² + (√3 - 0)² = 1 + 3 = 4 = 2²

When x = 0, and y = -2, we have;

(0 - 0)² + ((-2) - 0)² = (-2)² = 4 = 2²

Therefore, the points shown on the circle (1, √3), and (0, -2) satisfy the equation of the circle, x² + y² = 2² and are solutions to the equation of the circle

Step-by-step explanation:

3 0
2 years ago
What is the slope of a line that is parallel to –x + 3y = 6 Responses 1/3 StartFragment, 1/3, -1 StartFragment, -1, 3 StartFragm
algol13

The slope of the line parallel to the line  –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

It is given that:

The equation of the line:

–x + 3y = 6

Write the equation in standard form:

y = x/3 + 6/3

y = x/3 + 2

m = 1/3

The slope of the line parallel to the line  –x + 3y = 6

M = 1/3

Thus, the slope of the line parallel to the line  –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.

Learn more about the slope here:

brainly.com/question/3605446

#SPJ1

5 0
9 months ago
Last week, Franklin worked 11 hours each day, Monday-Thursday. On Saturday, Franklin’s boss offered him double time to work 6 ho
NeTakaya

Answer:

$560

Step-by-step explanation:

11 hours 4 days= 44 hours.

$10 an hour for these 44=$440

Satuday, he makes $20 for 6 hours, which=$120.

All together, Franklin makes $560 in the week.

4 0
3 years ago
Jared used the time-to-pay-off formula to calculate how many payments it
sergij07 [2.7K]
The answer is c. Normally you round down but if you need more you make 1 more payment.
6 0
3 years ago
There are 8 brooms and 6 mops in a janitor's closet. what is the ratio of the number of mops to the total number of brooms and m
Ne4ueva [31]

Answer:

3:7

Step-by-step explanation:

We have 8 brooms and 6 mops, making 14 objects in total, this will be our denominator. Our numerator will be the number of mops.

We have 6 mops, and 14 objects in total. Making the fraction \frac{6}{14}, simplify this fraction by 2 and it'll get us our answer.

\frac{6/2}{14/2}

\frac{3}{7}

Our ratio is 3:7

5 0
1 year ago
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