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Ivan
3 years ago
8

Find the equation of a line parallel to the line x=-10 and contains the point (-4,4)

Mathematics
1 answer:
earnstyle [38]3 years ago
6 0

Hello!

The line x = -10, is an example of an undefined line. It does not pass the vertical line test and each element of the domain is not paired with a unique (one and only one) element of the range. Remember that no two ordered pairs in a function have the same first element.

To find the line parallel to the line given line, we need to use the x-value in the given ordered pair, which will create the parallel line.

Therefore, the line parallel to the line x = -10 is x = -4.

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Which inequality is true?
DiKsa [7]

Answer:

C. 5\pi > 15

Step-by-step explanation:

In the given series of inequalities, the inequality sign determines the final outcome.

A. 4\pi - 2 < 10

4\pi < 12

\pi < 3

Since \pi < 3, then the inequality is false

B. \pi + 9 < 12

\pi < 3

Since \pi < 3, then the inequality is false

c. 5\pi > 15

\pi > 3

Since \pi > 3, then the inequality is true

D. 6 > 2\pi

3 > \pi

Since \pi < 3, then the inequality is false

Thus, the only inequality that is true is option C.

3 0
3 years ago
If the measure of angle 5 is (11 x minus 14) degrees and x = 6, which expression could represent the measure of angle 2? 3 lines
ella [17]

Answer:

(A) (8 x + 4) degrees

Step-by-step explanation:

m \angle 5 =(11x-14)^\circ\\x=6\\m \angle 5 =(11(6)-14)^\circ=(66-14)^\circ=52^\circ\\m \angle 5 =m \angle 2$ (Vertically Opposite Angles)

Out of the options, the one which gives a result of 52 degrees could represent the measure of angle 2.

(A)(8 x + 4)^\circ=(8(6) + 4)^\circ=(48+4)^\circ=52^\circ\\(B)(9x+2)^\circ=(9(6) + 2)^\circ=(54+2)^\circ=56^\circ\\(C)(20x + 8)^\circ=(20(6) + 8)^\circ=(120+8)^\circ=128^\circ\\(D)(18 x + 20)^\circ=(18(6) + 20)^\circ=(108+20)^\circ=128^\circ

We can see that only Option A gives a result of 52 degrees. Therefore, it can represent the measure of angle 2.

3 0
3 years ago
Read 2 more answers
Assume the number of pounds of chocolate consumed in a year is equally likely between 20 and 100 pounds. what is the probability
kramer
Because the probability is uniform (equally likely) between 20 and 100 pounds, the probability distribution is uniform between 80 and 100 pounds, with the value 1/(100-20) = 1/80 chocolates/pound.

Let x =  random variable that represents pounds of chocolate consumed.
Therefore
P(x < 60) = (60 - 20)*(1/80) = 1/2.

Answer: The probability is 1/2.
4 0
3 years ago
The formula for the volume of a cone is V=1/3(3.14)r^2(h) where V represents the volume, r represents the radius of the base, an
jasenka [17]

The original formula for the volume of a cone is

V=\dfrac{1}{3}\pi r^2h

O.K. You give the approximate value of pi in the formula.

V=\dfrac{1}{3}\cdot3.14r^2h

We have:

V=66\ cm^3,\ r=3\ cm

Substitute:

\dfrac{1}{3}\cdot3.14\cdot3^2h=66\\\\3.14\cdot3h=66\\\\9.42h=66\ \ \ \ |:9.42\\\\h\approx7\ cm

Answer: 7 cm.

7 0
3 years ago
What is the simplified expression for 3^3 x 3^3/ 3^4
Juli2301 [7.4K]

Answer:

9

Step-by-step explanation:

\frac{3^{6} }{3^{4} }

3^{2}

9

3 0
4 years ago
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