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3 years ago

Write an equation in slope intercept form for a line perpendicular to the line

Mathematics

1 answer:

konstantin123 [22]3 years ago

5 0

Answer:

y=(1/3)x- 4/3

Step-by-step explanation:

If two lines are perpendicular to each other, then the slopes will be the negative inverse to each other.

Example:

the negative inverse of 2 is -1/2

the slope of $y=-3x+2$ is -3

the negative inverse of -3 is $\dfrac{1}{3}$

So we have the perpendicular line be : $y=\dfrac{1}{3}x+b$

Since it also go through (4,0)

plug in we get $0 = \dfrac{4}{3}+b$

$b=-\frac{4}{3}$

So the equation would be

$y=\frac{1}{3}x - \frac{4}{3}$

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Work out 5^-2 x cube root of 8<br><br> Answer in decimal form please.

Zinaida [17]

Answer:

0.08

Step-by-step explanation:

${5}^{ - 2} \times \sqrt[3]{8} \\ \\ = {5}^{ - 2} \times \sqrt[3]{ {2}^{3} } \\ \\ = \frac{1}{ {5}^{2} } \times 2 \\ \\ = \frac{1}{25} \times 2 \\ \\ = \frac{2}{25} \\ \\ =0.08$

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3 years ago

Trigonometry is the study of tree-dimensional objects true or false

Fofino [41]

False, trigonometry is not the study of three dimensional shapes.

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3 years ago

After leaving the runway, a plane's angle of ascent is 15 degrees and its speed is 272 feet per second. How many minutes will it

Mice21 [21]

<h2>It takes 3.31 minutes the airplane to climb to a height of 14,000 feet</h2>

Step-by-step explanation:

Angle with horizontal = 15°

Velocity of plane = 272 feet per second angle of ascent is 15 degrees

Velocity of plane = 272 cos 15 i + 272 sin 15 j = 262.73 i + 70.40 j ft/s

Vertical velocity = 70.40 ft/s

Vertical displacement = 14000 ft

We have

Vertical displacement = Vertical velocity x Time

14000 = 70.40 x Time

Time = 198.87 seconds = 3.31 minutes

It takes 3.31 minutes the airplane to climb to a height of 14,000 feet

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3 years ago

) B. Communicate Precisely LaTanya wants to place

gavmur [86]

Hi, you've asked an incomplete question. I attached the missing caption that completes the question.

Explanation:

By looking closely at the caption we notice there are measuring coordinates along the margin of the caption. To find the middle of the chairs, take note of the total coordinate distances between points C and D;

For the vertical axis, the distance is 4
For the horizontal axis, the distance is 2

Substracting both differences in distances we get 2 (4-2) so at point (10, 7) we find the middle or halfway between the chairs at points C and D.

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3 years ago

What is 7 2/10 as a decimal

Dmitry_Shevchenko [17]

When changing fractions into decimals the whole number goes before the period and the fraction goes after.The denominator of the fraction will tell you whether or not you need to put any zeros before the numerator. If the denominator is 10 zeros are not needed.The end result is 7.2 and can be read as seven tenths.

6 0

4 years ago

Read 2 more answers