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3 years ago

6

which equations represent the line that is perpendicular to the line 5x - 2y = -6 and passes through the point (5, -4) select al

l that apply

1 answer:

NARA [144]3 years ago

8 0

Answer:

the answers are A B AND D

Step-by-step explanation:

To find perpendicular lines you take the slope and change the sign and find the reciprocal. after doing that you set it up as a new equation that you will use to find b using the point.

in this case

y= - 2/5x +b

plug in the x and y values of the point (5, -4) to find b

b= -2

you put that together to get the equation

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For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perim

ICE Princess25 [194]

Answer:

Part a) The area of the figure is $\frac{9}{2}(4+\pi )\ cm^{2}$

Part b) The perimeter of the figure is $3(2+2\sqrt{2}+ \pi)\ cm$

Step-by-step explanation:

Step 1

Find the area of the figure

In this problem we have that

The figure ABC is the half of a square and the other figure is a semicircle

<u>Find the area of the figure ABC</u>

we have

$AB=6\ cm, BC=6\ cm$

The area of the half square ABC is equal to find the area of triangle ABC

so

$A1=\frac{1}{2}*6*6=18\ cm^{2}$

<u>Find the area of the semicircle</u>

The area of the semicircle is equal to

$A2=\pi r^{2}/2$

we have that

$r=6/2=3\ cm$

substitute

$A2=\pi (3)^{2}/2$

$A2=(9/2) \pi\ cm^{2}$

The area of the figure is equal to

$18\ cm^{2}+(9/2) \pi\ cm^{2}= \frac{9}{2}(4+\pi )\ cm^{2}$

Step 2

Find the perimeter of the figure

The perimeter of the figure is equal to

$P=AB+AC+length\ CB$

we have

$AB=6\ cm$

Applying Pythagoras theorem

$AC=\sqrt{6^{2}+6^{2}}\\AC=6\sqrt{2}\ cm$

Remember that

the circumference of a semicircle is equal to

$C=\frac{1}{2}2\pi r=\pi r$

$r=6/2=3\ cm$

$C=\pi(3)$

$C=3 \pi\ cm$

The perimeter of the figure is equal to

$P=6\ cm+6\sqrt{2}\ cm+3 \pi\ cm$

Simplify

$P=3(2+2\sqrt{2}+ \pi)\ cm$

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3 years ago

Find atleast four equivalent fractions for each fraction 8/18

sergiy2304 [10]

16/36, 24/54, 32/72 and 40/90.

these are the equivalent fractions of 8/18

PLEASE MARK MY ANSWER AS BRAINLIEST

5 0

3 years ago

Read 2 more answers

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FinnZ [79.3K]

Answer:

5 feet long

Step-by-step explanation:

According to the Pythagorean Theorem, a^2 + b^2 = c^2 where "a" and "b" are the two legs of the right triangle and "c" is the hypotenuse.

We are trying to find the part that is at an angle, which is "c". So if we know "a" is "3 and "b" is 4, we can plug the values into the equation.

3^2 + 4^2 = c^2 plug in the values

9 + 16 = c^2 simply the two squared values

25 = c^2 add the two values

5 = c take the square root of both sides

c = 5 switch the values

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3 years ago

Read 2 more answers

Perform the indicated operation.<br><img src="https://tex.z-dn.net/?f=x%20%2B%205%20%2F%203" id="TexFormula1" title="x + 5 / 3"

Salsk061 [2.6K]

Answer:

$x + \frac{5}{3}-x - \frac{3}{2} = \frac{1}{6}$

Step-by-step explanation:

Given

$x + \frac{5}{3}-x - \frac{3}{2}$

Required

Solve

$x + \frac{5}{3}-x - \frac{3}{2}$

Collect like terms

$x + \frac{5}{3}-x - \frac{3}{2} = x -x+ \frac{5}{3} - \frac{3}{2}$

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Take LCM

$x + \frac{5}{3}-x - \frac{3}{2} = \frac{10 -9}{6}$

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Which expression represents this word phrase? n/7 – 10

Sidana [21]

"a number divided by seven minus ten" is the correct way to word the given expression. break it up piece by piece:

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