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Ksju [112]
3 years ago
7

A line PQ passes through the points (-8, -1) and (-2, 3). The equation of line RS is -2y -3x =13. Is the line PQ parallel to RS?

Justify
Mathematics
1 answer:
Andrei [34K]3 years ago
6 0
First find the slope
Y-y
----
X-x

2/3 is the slope
Next find the slope of the other line
-2y -3x=13
-2y=3x+ 13
Y=-2/3+-6.5
No the lines are perpendicular not parallel
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2 (5y-4)&gt;32<br> Solve the inequality for y.
scoray [572]

Answer:

y > 4

Step-by-step explanation:

2 (5y-4)>32

Divide each side by 2

2/2 (5y-4)>32/2

5y-4 > 16

Add 4 to each side

5y-4+4 > 16+4

5y > 20

Divide each side by 5

5y/5 > 20/5

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5 0
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In the figure, angle B measures 44°, angle A measures 62°, and angle E measures 50°.
Gre4nikov [31]
We don't need the figure
angle b = 44 degrees
angle a = 62 degrees
angle e = 50 degrees
angle f = unknown
we know that 
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50 + 44 + 62 + f =180 degrees
f= 180-50-44-62
but here there is only one blank so we have to add 44 and 62 to make one number that is 106
therefore, f = 180-50-106
if you further want to solve it angle f is 24
3 0
3 years ago
Part C<br> If you use 10^-4 as the power of 10, what is the mass of an average grain of rock salt?
sleet_krkn [62]

Answer:

120 x 10^-4

Step-by-step explanation:Multiplying 1.2  by  10^2 and multiplying 10^-2  by  10^-2.Gives 120 x 10^-4  So, the mass of an average grain of rock salt is 120 x 10^-4  .

6 0
3 years ago
Find the area under the standard normal curve to the left of
JulijaS [17]
A. z = 0.74
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b. z = -2.16
   This z-score translates to a percentile of 0.015386 which is also the numerical value of the area under the curve to the left of the z-score

c. z = 1.02
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6 0
3 years ago
Addie walked 2 1/2 miles in 45 minutes. Suzie covered 2 2/5 miles in 2/3 of an hour.
N76 [4]

Answer:

Suzie's speed was 3.6 mph

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

s ----> the speed in mph (miles per hour)

x ----> the distance in miles

y ----> the time in hours

so

s=\frac{x}{y}

Find Suzie's speed

we have

x=2\frac{2}{5}\ mi

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substitute

s=2\frac{2}{5}:\frac{2}{3}

Convert mixed number to an improper fraction

2\frac{2}{5}=2+\frac{2}{5}=\frac{2*5+2}{5}=\frac{12}{5}

substitute

s=\frac{12}{5}:\frac{2}{3}=\frac{36}{10}=3.6\ mph

3 0
3 years ago
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