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satela [25.4K]
3 years ago
6

in the xy-coordinate plane, the points (4, 2) and (-1, k) are on a line that is perpendicular to the line y = 2x + 1. What is th

e value of k?
Mathematics
2 answers:
mart [117]3 years ago
7 0

Answer: The value of x is 7/5

Advocard [28]3 years ago
4 0
The value of x is 5/7
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Giải phương trình sau:<br> sinx=1/2
cupoosta [38]

Answer: \begin{bmatrix}\mathrm{Radians:}\:&\:x=\frac{\pi }{6}+2\pi n,\:x=\frac{5\pi }{6}+2\pi n\:\\ \:\mathrm{Degrees:}&\:x=30^{\circ \:}+360^{\circ \:}n,\:x=150^{\circ \:}+360^{\circ \:}n\end{bmatrix}

Step-by-step explanation:

\sin \left(x\right)=\frac{1}{2}

x=\frac{\pi }{6}+2\pi n,\:x=\frac{5\pi }{6}+2\pi

4 0
2 years ago
Read 2 more answers
Add an intersection the red light times normally distributed by the mean of three minutes and a standard deviation of .25 minute
Soloha48 [4]

95% of red lights last between 2.5 and 3.5 minutes.

<u>Step-by-step explanation:</u>

In this case,

  • The mean M is 3 and
  • The standard deviation SD is given as 0.25

Assume the bell shaped graph of normal distribution,

The center of the graph is mean which is 3 minutes.

We move one space to the right side of mean ⇒ M + SD

⇒ 3+0.25 = 3.25 minutes.

Again we move one more space to the right of mean ⇒ M + 2SD

⇒ 3 + (0.25×2) = 3.5 minutes.

Similarly,

Move one space to the left side of mean ⇒ M - SD

⇒ 3-0.25 = 2.75 minutes.

Again we move one more space to the left of mean ⇒ M - 2SD

⇒ 3 - (0.25×2) =2.5 minutes.

The questions asks to approximately what percent of red lights last between 2.5 and 3.5 minutes.

Notice 2.5 and 3.5 fall within 2 standard deviations, and that 95% of the data is within 2 standard deviations. (Refer to bell-shaped graph)

Therefore, the percent of  red lights that last between 2.5 and 3.5 minutes is 95%

8 0
3 years ago
You pull out the plug from the bathtub. After 30 seconds, there are 13 gallons of water left in the tub. One minute after you pu
kari74 [83]
There were 15 gallons of water to begin with. hope this helps
6 0
3 years ago
Add the following numbers. (-4) + (-9) =
soldi70 [24.7K]

Answer:

-13

Step-by-step explanation:

Adding a negative means that you subtract the number as + (-) = -

This means that the equation is -4-9=-13.

6 0
3 years ago
Find the volume of triangular prism with the following dimensions. Round to the nearest whole number.
defon

Answer:

<em>124.0 ft^2</em>

Step-by-step explanation:

let b = base of triangle = 7ft

h = height of triangle = 4ft

and

l = height of prism. = 8.5ft

We know,

volume of prism = area of triangular face of prizm × height of prizm

= 1/2 × b × h × l

= 1/2 × 7 × 4 × 8.5

= 7 × 2 × 8.5

= 14 × 8.5

<h2> = <u>124.0 ft^2</u></h2>
6 0
3 years ago
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