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Anon25 [30]
3 years ago
10

Write an equation of the line that passes through the points (-3,-9) and (5,-9)

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
8 0

Answer:

slope of a line m : 0

Equation of line :  y=- 9

Step-by-step explanation:

P1 : (X1 , Y1 ) (-3 , -9)

P2 : (X2 , Y2) (5 , -9)

Slope of line (m) is caculated as ,

m = ( y2-y1)/(x2 - x1)

m = (-9 - (-9))/(5 - (-3))

m = 0

equation of line  : y = mx+b

using P1 (-3 , -9)

= > (-9) = (0)(-3) + b

= > -9 = b

hence b = -9

equation of Line is

y = -9

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Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try
ryzh [129]

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to

P=2(L+W)

where

L is the length of rectangle

W is the width of rectangle

we have

F(-2,5),R(-2,1),O(6,1),G(6,5)

Plot the figure to better understand the problem

using a graphing tool

see the attached figure

Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees

so

FG=RO=L\\RF=OG=W

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the distance FG

F(-2,5),G(6,5)

substitute the values

d=\sqrt{(5-5)^{2}+(6+2)^{2}}

d=\sqrt{(0)^{2}+(8)^{2}}

FG=8\ units

step 2

Find the distance RF

R(-2,1),F(-2,5)

substitute the values

d=\sqrt{(5-1)^{2}+(-2+2)^{2}}

d=\sqrt{(4)^{2}+(0)^{2}}

RF=4\ units

step 3

Find the perimeter

P=2(L+W)

we have

FG=RO=L=8\ units\\RF=OG=W=4\ units

substitute

P=2(8+4)=24\ units

Part 2) Find the area of rectangle FROG

we know that

The area of rectangle is equal to

A=LW

we have

FG=RO=L=8\ units\\RF=OG=W=4\ units

substitute

A=(8)(4)=32\ units^2

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zhannawk [14.2K]

Answer:

You are selecting marbles with replacement. The marble selections (trials) are independent and the marble selection follows the binomial distribution.

The probability of selecting a red marble the first time is 1313.

(This is because 4 out of 12 marbles are red and412412 reduces to 1313.

The probability of selecting a red marble the second time is 1313.

The marble selections are independent and you can multiply the two probabilities to get the following:

probability of getting 2 reds = (13)2(13)2

=19=19.

So the probability of getting two reds is 1919.

7 0
3 years ago
In Exercises 10 and 11, points B and D are points of tangency. Find the value(s) of x.<br>​
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3 years ago
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ki77a [65]

Answer:

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