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kotegsom [21]
2 years ago
12

Mark drew two lines that form a right angle what words describes the lines mark drew

Mathematics
1 answer:
pickupchik [31]2 years ago
6 0
Hi there!

Mark drew perpendicular lines.
Perpendicular lines are lines that form right angles (90°) with each other.
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After sailing 12 mi, a sailor changed direction and increased the boat's speed by 4 mph. an additional 18 mi was sailed at the i
inessss [21]
Let the speed for the first 12 mi be x mi/h, the speed for 18 mi was (x+4) mi/h
thus given that
time=distance/speed 
the average time will be:
3=(12+18)/(x+x+4)
3=30/(2x+4)
solving for x we get
3(2x+4)=30
6x+6=30
6x=24
x=4 mi/hr
Answer: 12 mi/hr
8 0
2 years ago
brooke found the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form as follows​
Goryan [66]

Answer:

The equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is \mathbf{y=-4x-3}

Step-by-step explanation:

Equation of line passing through the points (-7,25) and (-4,13) in slope-intercept form.

The general equation of slope-intercept form is: y=mx+b

First we need to find slope

The formula used for finding slope is: Slope=\frac{y_2-y_1}{x_2-x_1}

We are given: x_1=-7, y_1=25, x_2=-4, y_2=13

Putting values in formula and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{13-25}{-4-(-7)}\\Slope=\frac{13-25}{-4+7}\\Slope=\frac{-12}{3}\\Slope=-4

So, slope m= -4

Now finding y-intercept

Using slope m=-4 and point (-7,25) we can find y-intercept

y=mx+b\\25=-4(-7)+b\\25=28+b\\b=25-28\\b=-3

So, y-intercept b =-3

Now, the equation of required line having slope m=-4 and  y-intercept b=-3 is:

y=mx+b\\y=-4x-3

So, the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is \mathbf{y=-4x-3}

3 0
2 years ago
-2(-6x+3u-1) use the distributive property to remove parentheses
Nikitich [7]

the answer is 12x-6u+2 hope this helps

4 0
2 years ago
Read 2 more answers
A carpenter lays 15 square feet of tile in 1/3 of an hour. How many square feet does the carpenter may per hour?
taurus [48]

Answer:

x=24 square feet per hour

Step-by-step explanation:

You divide 16 by 2 to get how many tiles that are laid in 1/3 of an hour. Then multiply that by 3 to get how many tiles in one whole hour. The answer should be 24.

5 0
2 years ago
Andres Michael bought a new boat. He took out a loan for S24 320 at 45% interest for 2 years. He made a 54.110 partial payment a
AleksAgata [21]

Answer:

$25,381.94

Step-by-step explanation:

45% interest in 2 years = 45/24 = 1.875% monthly

<u>Debt at month 0</u> (when Andres got the loan)

24,320

<u>Debt at month 1</u>

24,320*(1 + 0.001875) = 24,365.6

<u>Debt at month 2</u>

24,365.6*(1.001875) - 54.110 (partial payment) = 24,357.1755

<u>Debt at month 3</u>

24,357.1755*(1.001875)

<u>Debt at month 4</u>

24,357.1755*(1.001875)^2

<u>Debt at month 5</u>

24,357.1755*(1.001875)^3

<u>Debt at month 6</u>

24,357.1755*(1.001875)^4 - 3,410 (partial payment)

= 24,540.36874

<u>Debt at month 7</u>

24,540.36874*(1.001875)

<u>Debt at month 8</u>

24,540.36874*(1.001875)^2

<u>Debt at month 9</u>

24,540.36874*(1.001875)^3

<em>and so on</em> until month 24 (the maturity)

<u>Debt at maturity</u>

24,540.36874*(1.001875)^{18}

= 25,381.93916 = $25,381.94 rounded to the nearest hundreth.

8 0
3 years ago
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