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2 years ago

Find the coordinates of the midpoint of a segment with the given endpoints. *

Mathematics

2 answers:

serg [7]2 years ago

8 0

Step-by-step explanation:

Given points are (-2,5) and (3,-17)

to find midpoint, use this formula

( x1+x2/2 , y1+y2/2)

where points are a(x1,y1) and b(x2,y2)

coming to the question,

midpoint is :

[ (-2-3)/2 , (5-17)/2 ]

[ -5/2 , -12/2 ]

[ -2.5 , -6 ]

OPTION $A$ IS CORRECT

sammy [17]2 years ago

4 0

Buttuuuurrrrrrrrrrrrrrr

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What is the rate of exchange ? i dont understand what its asking

kirill115 [55]

Simple
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2 years ago

The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°

GenaCL600 [577]

The measure of angle ABC is 45°

Explanation

Vertices of the triangle are: A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) $=\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5$

Length of the side AC (b) $= \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}$

Length of the side AB (c) $= \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}$

We need to find ∠ABC or ∠B . So using Cosine rule, we will get...

$cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree$

So, the measure of angle ABC is 45°

7 0

3 years ago

Read 2 more answers

0.43_ 0.42 is greater

jasenka [17]

0.43 is greater because you need 7 to get to 0.5 unlike 0.42 where you need 8

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2 years ago

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The diameter of a human red blood cell is 0.000009 m. The diameter of a cold virus is 0.00000003 m Approximately how many times

krek1111 [17]

Answer:

D. 3*10^2

Step-by-step explanation:

Given the diameter of human red blood cell = 0.000009 m

diameter of a cold virus = 0.00000003 m

To know how many times as large is the diameter of a red blood cell as the diameter of a cold virus, we will take the ratio of the diameter of human red blood cell to that of a cold virus as shown;

diameter of human red blood cell/diameter of a cold virus = 0.000009 m/0.00000003 m

= 9*10^-6/3*10^-8

= 9/3 * 10^-6-(-8)

= 3 * 10^(-6+8)

= 3*10^2

Hence the diameter of a red blood cell is 3*10^2 larger than that of the cold virus

8 0

2 years ago

Solve 3/4 + 1/6 - 2/3

bixtya [17]

Answer: the answer is 1/4

Step-by-step explanation:

3/4 +1/6=11/12 (to add/subtract fractions you need to find LCD and then combine)

after you get 11/12 subtract it from 2/3= 1/4 (to add/subtract fractions you need to find LCD and then combine)

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1 year ago

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