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natita [175]
3 years ago
14

Find the coordinates of the midpoint of the segment whose endpoints are H(8, 13) and K(10, 9).​

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
6 0

Good evening

Answer:

<h2>M(9 , 11)</h2>

Step-by-step explanation:

let Point M(x , y) be the midpoint of segment HK then

x = (8+10)/2 = 18/2 = 9

y = (13+9)/2 = 22/2 = 11.

:)

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The points with coordinates (x, -1), (2,2), and (4,3) lie on the same line. What is the value of x?
borishaifa [10]

Find the slope of the line passing throught the points (2, 2) and (4, 3).

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

Substitute:

m=\dfrac{3-2}{4-2}=\dfrac{1}{2}

If the point (x, -1) lie on the same line, then the slope of line passing through the points (2, 2) and (x, -1) the same:

Substitute:

m=\dfrac{-1-2}{x-2}=\dfrac{-3}{x-2}

We have the equation:

\dfrac{-3}{x-2}=\dfrac{1}{2}        <em>cross multiply</em>

(1)(x-2)=(-3)(2)

x-2=-6           <em>add 2 to both sides</em>

x=-4

<h3>Answer: x = -4.</h3>
7 0
3 years ago
Select all values of x that make the inequality true -x+6&gt; 10 true .
Rufina [12.5K]

Answer:

<em>C. -4.01</em>

<em>H. -7</em>

Step-by-step explanation:

<u>Solving inequalities:</u>

We have a set of numbers to verify which ones of them make the below inequality true

-x+6>10

Rearrange

-10+6>x

Operating

-4>x

Flipping

x

The set of solutions contains every number less than -4

There are only two numbers less than -4 in the set of options:

C. -4.01

H. -7

4 0
3 years ago
Read 2 more answers
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.
Serjik [45]
F(x) = -3x + 4
g(x) = 2

To get f(x) = g(x)
-3x + 4 = 2
-3x = 2-4
-3x = -2
x = (-2/-3)
x = 2/3
4 0
3 years ago
Read 2 more answers
3 (6+3n) = 5n + 18 + 3n
amid [387]

Answer:

n = 0

Step-by-step explanation:

Multiply parenthesis by 3 and get:

1.) 18 + 9n = 5n + 18 + 3n

Then cancel the equal terms:

9n = 5n + 3n

Collect like terms:

9n = 8n

Move variable to the left:

9n - 8n = 0

n + 0

Plugin the value of 0 into x:

3 (6 + 3 x 0) = 18

5 x 0 + 3 x 0 + 18 = 18

*If the plugged in value have the same result than the answer is correct because 18 + 18.

4 0
3 years ago
joan buys cans of beans in bulk. she buys 3 cases for a total of $23.15. each case contains 6 cans of beans. how much is each ca
Blababa [14]
$1.28 or $1.29 would be the price of each can.
8 0
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