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3 years ago

9

NEEDs HELP AB ⊥ AC true or false idk i think it's false

1 answer:

jonny [76]3 years ago

4 0

Perpendicular means the slopes are opposite inverse of each other
If line a is slope 2, the perpendicular line to Line a would have a slope - 1/2
Difference in y over difference in x gives slope. If they are opposite inverse values the lines are perpendicular. ( in this case the answer is true.)

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Please help out it would be great help I need the answer before 8pm

Diano4ka-milaya [45]

A reflection over the y-axis :)

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3 years ago

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A line passes through the origin and has a slope of -3 what is the equation of the line that is perpendicular to the first line

Marianna [84]

Answer: $y=\frac{1}{3}x+3$

Step-by-step explanation:

The equation of the line is Slope-intercept form is:

$y=mx+b$

Where "m" is the slope and "b" the y-intercept.

The slopes of perpendicular lines are negative reciprocal.

Then, if the slope of the first line is -3, the slope of the other line must be:

$m=\frac{1}{3}$

Substitute the point (3,4) into the equation and solve for b:

$4=\frac{1}{3}(3)+b\\ 4-1=b\\b=3$

Then the equation of this line is:

$y=\frac{1}{3}x+3$

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3 years ago

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you put the names of all the students in your class in a paper bag. there are 15 boys and 11 girls. if you drawa name at random

rosijanka [135]

There is a 15/26 chance that it will be a boy

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3 years ago

Can someone help me my grade are bad

Likurg_2 [28]

Answer:

8.31

Step-by-step explanation:

Using the Pythagorean Theorem:

$a^2+b^2=c^2$

$10^2+b^2=13^2$

$100+b^2=169$

$b^2=69$

$b = \sqrt{69}$

$b = 8.306623863$

The side length for $x$ , rounded to the nearest hundredths, would be 8.31.

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3 years ago

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A flag pole has a rope that attaches to the ground from the top of the flagpole the rope create a 30° angle with the ground and

OLEGan [10]

Answer:

$5.77\ \text{m}$

$11.54\ \text{m}$

Step-by-step explanation:

p = Height of pole

h = Length of role

b = Distance between the bottom of the rope and bottom of the pole = 10 m

$\theta$ = Angle between the rope and the ground = $30^{\circ}$

$\tan\theta=\dfrac{p}{b}\\\Rightarrow p=b\tan\theta\\\Rightarrow p=10\tan30^{\circ}\\\Rightarrow p=5.77\ \text{m}$

The length of the rope is $5.77\ \text{m}$

$\cos\theta=\dfrac{b}{h}\\\Rightarrow h=\dfrac{b}{\cos\theta}\\\Rightarrow h=\dfrac{10}{\cos30^{\circ}}\\\Rightarrow h=11.54\ \text{m}$

The length of the pole is $11.54\ \text{m}$

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3 years ago