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horrorfan [7]
3 years ago
13

7. What is the slope of the line that passes through the pair of points (3, 8) and (9, 5) ? (1 point)

Mathematics
2 answers:
agasfer [191]3 years ago
5 0
7. D
8. D
9. D
10.C

for 7 & 8 you use the equation
\frac{y2 - y1}{x2 - x1}
your points are (3,8) & (9,5)

so you plug the numbers in
y2= 5
y1=8

x2=9
x1=3
you subtract them get a fraction and that is your slope


9 & 10
use the equation
y - y1 = m(x - x1)
plug you numbers in for y1 and x2 m is your slope plug it in and that is your equation


wariber [46]3 years ago
3 0
7. <span>(D). -1/2
8. (D). -22/6
10. (D). y-2=3(x+5)
</span>11. (C). y+2=-1/2(x+4)
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anastassius [24]
405 because 120+50+65=405
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3 years ago
The price of a scooter was ₹ 54,000 last year. It has increased by 20% this year. What is the price now? *
dlinn [17]
I got 64,800 because you multiply 54,000 x 1.20 and that equals 64,800
5 0
2 years ago
ASAP! I'll mark you as Branliest! Gina plotted the points (-3,4), (4,4), (-3,-2), and (4,-2), on the coordinate plane.
neonofarm [45]

Answer:

7

7

the reson why is becuase the length and width are equal

Step-by-step explanation:

8 0
2 years ago
2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):
zlopas [31]
<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)

First pair of opposite sides:

<u>Slope:</u>

\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}

Second pair of opposite sides:

<u>Slope:</u>

\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\

So the diagonals measure the same, therefore this is a rectangle.

5 0
3 years ago
Including 5% sales tax, an inn charges $252 per night. Find the inn’s nightly cost before the tax is added
stira [4]

Hi,

To find the cost before tax, we must find out how much the tax is. So we multiply 252 x .05 to get 12.6. So we know the tax was 12.6 dollars. Now all we have to do is subtract that from the total to get our answer. 252 - 12.6 = 239.4.

Have a great day!

3 0
3 years ago
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