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Tanzania [10]
3 years ago
6

The point (0, 5) is the midpoint between (-18,-10) and what other point?

Mathematics
1 answer:
Ivenika [448]3 years ago
7 0

the other mid point would be (4, 5) if its wrong im

really sorry but im pretty sure its the right answer.

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The perimeter of rectangle is 48 cm. Find the sides of the rectangle if one of the sides is 12 cm longer than the other.
muminat

Answer:

Width is 4cm, length is 12 cm.

Step-by-step explanation:

Write the problem as an equation.

(x+12)*(x)=48

Where x is the length of the shorter side.

Solve.

(x^2)+12x=48

x=4

7 0
3 years ago
Read 2 more answers
10 coupons are given to 20 shoppers in a store. Each shopper can receive at most one coupon. 5 of the shoppers are women and 15
zmey [24]

Answer:

\, {20 \choose 10} - {15 \choose 10}

Step-by-step explanation:

We can find the total amount of ways at least a woman receives a coupon by calculating the total amount of possibilities ot distribute the coupon and substract it to the total amount of possibilities to distribute 10 coupons to the 15 men (this is the complementary case that at least a woman receives a cupon).

- The total amount of possibilities to distribute the coupons among the 20 shoppers is equivalent to the total amount of ways to pick a subset of 10 elements from a set of 20. This is the combinatiorial number of 20 with 10, in other words, \, {20 \choose 10} = \frac{20!}{10!10!} .

- To calculate the total amount of possibilities to distribute the coupons among the 15 men, we need to make the same computation we made above but with a set of 15 elements instead of 20. This gives us  \, {15 \choose 10} = \frac{15!}{10!5!} possibilities.

Therefore, we have \, {20 \choose 10} - {15 \choose 10} possibilities to distribute the coupons so that at least one woman receives a coupon.

I hope that works for you!

3 0
3 years ago
How many terms in the<br> sequence are less than 100?
Vaselesa [24]

Answer:

99

Step-by-step explanation:

Since given, < 100.

So,

100 - 1 = 99

5 0
2 years ago
What is an equation of the line that passes through the points (-1, 6) and<br> (-1, –5)?
miskamm [114]

Answer: 11x + 11

Step-by-step explanation:

This is two points equation. It could be done in various ways depending on the level of understanding of the topics. The formula goes thus

y - y₁         y₂ ₋ y₁                           y₂ ₋ y₁

------    =   ----------      or  y ₋ y₁ =    ---------  ˣ  ( x - x₁ )

x - x₁         x₂ ₋ x₁                           x₂ ₋ x₁

Where x₁ = -1, x₂ = -1, y₁ = 6, y₂ = -5. Now substitute for the values in the formula above and solve.

y - 6           -5 - 6       -11             -11

------      =   --------    =  ----      =    -----

x - (-1)         -1 - (-1)      -1 + 1          0

y - 6          -11

------    =    -----

x + 1           0   ,

Now we cross multiply to have a linear equation

0( y - 6 )  =  -11( x + 1 )

0   =   -11x - 11, now multiply by -1

The equation now becomes

11x + 11

   

3 0
3 years ago
I need to know the lengths of MN, NP, and PM
andrezito [222]

Answer:

MN = 12 units

NP = 16 units

PM = 20 units

Step-by-step explanation:

You can find MN and NP by counting on the graph. To find PM you will need to use the formula a^2 + b^2 = c^2 ( ^ stands for exponent)

MN and NP will be a and b.

Example: 12^2 + 16^2 = c^2

Simplify.

Example:

144 + 256 = c^2

144 + 256 = 400

Then find the square root of 400 which is 20.

To check your work put all of the sides into the formula and it should be true.

8 0
3 years ago
Read 2 more answers
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