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2 years ago

What is the midpoint of (-5,6) (8,-6)

Mathematics

1 answer:

MAXImum [283]2 years ago

8 0

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

$M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-5,6) (8,-6)

The midpoint is

$M = ( \frac{ - 5 + 8}{2} \: , \: \frac{6 - 6}{2} ) \\ = ( \frac{3}{2} \: , \: \frac{0}{2} )$

We have the final answer as

$( \frac{3}{2} \: , \: 0)$

Hope this helps you

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Jim's backyard is a rectangle that is 15 5/6 yards long and 10 2/5 yards wide. Jim buys sod in pieces that are 1 1/3 long and 1

ser-zykov [4K]

The are of his backyard is 10.4 times 15.83 or 164.632 yd^2
the sod piecs are 1.33 by 1.33 or 1.78 yd^2
so divide 164.632 by 1.78 or
164.632/1.78=92.5 pieces of sod
if he is buying the sod in pieces, he will have to buy 93 pieces because he can't buy 1/2 sod

4 0

2 years ago

For any perfect square trinomial (quadratic), the constant term (last term) must be positive.

Ronch [10]

Answer:

For the perfect square trinomial (quadratic) i.e. $\left(x\:+\:3\right)^2$ , the constant term (last term) is positive.

Step-by-step explanation:

"Perfect square trinomials" are termed as the quadratics that are the outcomes of squaring binomials.

For example:

$\left(x\:+\:3\right)^2$

$\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2$

$a=x,\:\:b=3$

$=x^2+2x\cdot \:3+3^2$

$=x^2+6x+9$

Therefore, for the perfect square trinomial (quadratic) i.e. $\left(x\:+\:3\right)^2$ , the constant term (last term) is positive.

5 0

2 years ago

Isolate the variable 4m=92

const2013 [10]

<span>Simplifying 4x = 92 Solving 4x = 92 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '4'. x = 23 Simplifying x = 23</span>

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2 years ago

A box contains 4 oranges, 9 apples, and 3 pears. Liliana selects a piece of fruit from the box at random. What is the probabilit

valina [46]

Hello!

You first find out how many objects there are in total

4 + 9 + 3 = 16

Then you find the probability of Liliana picking a orange

Since there are 4 oranges and 16 things to pick she has a 4/16 chance of getting an orange

Next you find the probability of Liliana picking a pear

There are 3 pears and 16 items to pick so she has a 3/16 chance

Then you add them together to find the chance of either happening

4/16 + 3/16 = 7/16

So she has a 7 out of 16 chance of getting an orange or a pear

The answer is 7/16

Hope this helps!

3 0

2 years ago

A a) Is (x + 4) a factor of (x^ 2 +9x+20)? In other words , does x + 4 divide evenly into x ^ 2 + 9x + 20 ?

liubo4ka [24]

Answer:

Yes

Step-by-step explanation:

the factors of (x^ 2 +9x+20) are (x+4)(x+5)

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2 years ago