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lara31 [8.8K]
4 years ago
8

Slope of M(-2, 3), N(7 -4)

Mathematics
1 answer:
Mila [183]4 years ago
8 0

Answer:

-\frac{7}{9}

Step-by-step explanation:

We find slope by; change in y ÷ change in x,

Change in y = -4 - 3 = -7

Change in x = 7 - - 2 = 9

Slope of line MN = -7 ÷ 9 = -\frac{7}{9}

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What are the integer solutions to the inequality below? 3 < 3 x − 1 < 2 x + 6
natita [175]

Answer:

4/3<x<7

Step-by-step explanation:

Given the inequalities

3 < 3 x − 1 < 2 x + 6

Add 1 to all sides

3+1 < 3x-1+1<2x+6+1

4 < 3x < 2x + 7

Split

4 < 3x

3x > 4

x > 4/3

4/3 <x

Also

3x < 2x + 7

3x-2x < 7

x <7

Combine

4/3<x<7

Hence the required solution is 4/3<x<7

3 0
3 years ago
A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?
Minchanka [31]
First, we need to find the slope:
m=rise/run   OR
m= \frac{y_2-y_1}{x_2-x_1}
m=(2+2)/(-6-2)
m=4/-8
m=-1/2

second we need to find the equation for the line using point-slope form:
y-y_1=m(x-x_1)

y-(-2)=-(1/2)(x-2)
y+2= -\frac{1}{2}x+1
y=- \frac{1}{2}x-1

to find "a" we plug in the given y value and solve for x (in this case x=a):

-4=- \frac{1}{2}x-1
-3=- \frac{1}{2} x
-3(-2)=(-  \frac{1}{2} x)( -2)
6=x

so, a=6 and the point becomes (6,-4)
8 0
3 years ago
Hey, Guys, can someone help me with this
Lunna [17]

Answer:

A length=24ft, width=15ft

Step-by-step explanation:

the side AB have x values of 5 and the side with CD have x values of 10 so the width from b to d or a to c is 5 so the width of the drawing is 5cm

the bottom side AC has y values of 8 and the top side BD has y values of 16 so they are 8 apart so the length of the rectangular drawing is 8cm

then the scale says that 1 cm = 3 ft so multiply the length and width each by 3 to get the answer that the length of the sail is 24ft and the width is 15ft

Hope this helps! :)

8 0
2 years ago
Write 170,967,413.3 in expanded form
mezya [45]
1000000000+70000000+900000+60000+7000+400+10+3+.3
8 0
3 years ago
FIND THE OF P LEAVE YOUR ANSWER IN TERMS OF PU
artcher [175]

Answer:

Area of circle

Pi x radius^2

Pi x 7^2

Pi x 49

Answer- 49Pi

Option D

Hope it Helps!!

8 0
3 years ago
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