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3 years ago

U(8, 9) and V(2, 5) are the endpoints of a line segment. What is the midpoint M of that line segment?

Mathematics

1 answer:

Pavel [41]3 years ago

5 0

Answer:

The midpoint M is (5,7)

Step-by-step explanation:

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

U(8,9)

V(2,5)

m = [(8+2)/2 , (9+5)/2]

= [(10/2) , (14/2)]

= (5,7)

(Correct me if i am wrong)

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Solve for x: -6(x + 4) + 9 > -5(x + 6)

devlian [24]

Answer:

x < 15

Step-by-step explanation:

Let's first expand the parentheses on both sides. Remember that when expanding parentheses, the result will be the sum of the products of the "outside number" with each of the "inside number".

On the left, the parenthetical expression is: -6(x + 4). Here, the outside term is -6 and the inside terms are x and 4. So:

-6(x + 4) = -6 * x + (-6) * 4 = -6x - 24

On the right, the parenthetical expression is: -5(x + 6). Here, the outside term is -5 and the inside terms are x and 6. So:

-5(x + 6) = -5 * x + (-5) * 6 = -5x - 30

Now put these back in:

-6(x + 4) + 9 > -5(x + 6)

-6x - 24 + 9 > -5x - 30

-6x - 15 > -5x - 30

x < 15

Thus the answer is x < 15.

Hope this helps!

3 0

3 years ago

Ellen says that 1 2/5 equal 5/7. Is she correct? Explain.

Akimi4 [234]

Answer:

Step-by-step explanation:

1 2/5 has a whole and a fraction where as 5/7 only has a fraction

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3 years ago

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Here are the values of the first 5 terms of 3 sequences: : 30, 40, 50, 60, 70, . . . : 0, 5, 15, 30, 50, . . . : 1, 2, 4, 8, 16,

Levart [38]

Answer:

1,2,4,8,16.

Step-by-step explanation:

they are a square root of 2 for each question. it will eventually get up higher then additive.

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3 years ago

7. Ger and Amy are planting tulips. Ger has planted 60 tulips already and is planting more at a

artcher [175]

Answer:

23 hours

Step-by-step explanation: 44*32 = 1408 1408/60 = 23.46= 23 hours

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The number of electoral votes each state is assigned is determined by the size of its population every ten years. The chart show

sattari [20]

Answer:

D. $Q_3=47$

Step-by-step explanation:

We have been given a table that represents the the number of electoral votes California was assigned each decade of the past century. We are asked to find the 3rd quartile of our given data.

The number of votes are: 9, 13, 13, 22, 25, 32, 40, 45, 47, 54, 55.

We will use upper quartile formula to solve our given problem.

$Q_3=\frac{3}{4}*(n+1)^{\text{th term}}$ , where, n represents the number of elements in the data set.

We can see that our data set has 11 data points, so upon substituting n=11 in above formula we will get,

$Q_3=\frac{3}{4}*(11+1)^{\text{th term}}$

$Q_3=\frac{3}{4}*(12)^{\text{th term}}$

$Q_3=3*3^{\text{th term}}$

$Q_3=9^{\text{th term}}$

Now let us count 9th term of our data set. Upon counting our data set from left to right we can see that 9th term of our data set is 47, therefore, 3rd quartile of our given data is 47 and option D is the correct choice.

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