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dedylja [7]
3 years ago
13

Show all work please!!!!!!

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
7 0
The midpoint formula is:
(point1 + point2)/2

1) (-2 + 12)/2 = 5

2) (-1 +5)/2 = 2
    (0+2)/2 = 1
     (2,1)

3) Sqrt of (x2-x1)^2 + (y2 - y1)^2
     sqrt of (7 -1)^2 + (-7 - 1)^2
     sqrt of (6)^2 + (-8)^2
     sqrt of 36 + 64
     sqrt of 100
     10

Hope this helps!
You might be interested in
What is the volume of a right circular cylinder with a radius of 3 in. and a height of 10 in.?​
r-ruslan [8.4K]

Answer:

V=282.74in^3

Step-by-step explanation:

Volume of cylinder

V= TTr^2h

Where

TT=3.14

r=3

h=10in

V=3.14*3^2*10= 282.743in^3

8 0
3 years ago
Two events, A and B, are disjoint. What is the probability that both A and B will occur at the same time?
solniwko [45]
ANSWER

P(A\cap B)=0

EXPLANATION

If the two events are disjoint, then they are mutually exclusive.

This means that their intersection is zero.

Therefore

n(A\cap B)=0

This implies that,

P(A\cap B)= \frac{n(A\cap B)}{n(U)}

P(A\cap B)= \frac{0}{n(U)} = 0

The probability that the two events will occur together is 0, which means an impossibility.
6 0
3 years ago
How do you find the surface area for this???
Katarina [22]
The surface area of any object is the sum of the areas of all the faces. In this case, we have a rectangular prism with dimensions 8x4x3 and a trianglar prism with a 8x4 rectangular base and height of 6.

Let's start with the rectangular prism. We have the bottom which is 8x4, two sides that are 3x4, and two sides that are 8x3.

8*4 + 2*3*4 + 2*8*3 = 104 in^2

Now that's find the surface area of the trianglar prism. We have the rectangular side on top which is 10x4, the rectangular side on the right which is 6x4, and two triangles that are 8 long and 6 high.

10*4 + 6*4 + 2*0.5*8*6 = 112 in^2

The total surface area is 104 + 112 = 216 in^2





8 0
3 years ago
Select the expressions that are equivalent to 18m - 12.
krok68 [10]

Answer:

All the expressions other than option E, is equivalent to the expression 18m - 12.

Step-by-step explanation:

A. 6m - 4 + 6m -4 + 6m - 4

or 6m+6m+6m -4 -4 -4

or 18m -12

B. 12m + 6 - 6m -6

or 12m - 6m + 6 - 6

or 6m

C.6(3m - 2)

or 18m - 12

D.3(6m - 4)

or 18m - 12

E. 24n - 4² + 8 -6m

This option can not satisfy the given expression as it contains another variable as n.

4 0
3 years ago
Andrea, Justin, and Virginia went to an office supply store. Andrea bought 6 pencils, 7 markers, and 8 erasers. Her total was $1
olga2289 [7]

Answer:

x=0.25\,,\,y=1.75\,,\,z=0.25

Step-by-step explanation:

Let x,y,z denotes number of pencils, markers, erasers respectively.

For Andrea:

6x+7y+8z=15.75\,\,\,(i)

For Justin:

6x+8y+5z=16.75\,\,\,(ii)

For Virginia:

5x+5y+7z=11.75\,\,\,(iii)

On subtracting equations (i) and (ii), we get

(6x+7y+8z)-(6x+8y+5z)=15.75-16.75\\-y+3z=-1\\y-3z=1\\y=1+3z

Put y=1+3z in equation (i)

6x+7(1+3z)+8z=15.75\\6x+29z=8.75\,\,\,(iv)

Put y=1+3z in equation (iii)

5x+5(1+3z)+7z=11.75\\5x+22z=6.75\,\,\,(v)

Multiply equation (iv) by 5 and equation (v) by 6 and then subtract both the equations.

5(6x+29z)-6(5x+22z)=5(8.75)-6(6.75)\\13z=3.25\\z=\frac{3.25}{13}=0.25

Put z=0.25 in equation y=1+3z

y=1+3(0.25)=1.75

Put y=1.75\,,\,z=0.25 in equation (i)

6x+7(1.75)+8(0.25)=15.75\\6x+12.25+2=15.75\\6x=1.5\\x=0.25

8 0
3 years ago
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