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melamori03 [73]
3 years ago
6

Find the coordinates of the midpoint (-3,13) (10,-4)

Mathematics
1 answer:
xenn [34]3 years ago
5 0

Answer:

The answer is

<h2>( \frac{7}{2}  \: , \:  \frac{9}{2} )</h2>

Step-by-step explanation:

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

<h3>M = ( \frac{x1 + x2}{2}  , \:  \frac{y1 + y2}{2} )</h3>

where

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

From the question the points are

(-3,13) and (10,-4)

The midpoint M is

<h3>M  = ( \frac{ - 3 + 10}{2}  , \:  \frac{13 - 4}{2} ) \\</h3>

We have the final answer as

<h3>( \frac{7}{2}  \: , \:  \frac{9}{2} )</h3>

Hope this helps you

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Y = x^2+ 7x - 5 can be written in the form y = (x + a)^2+b
BARSIC [14]

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = (x - h)² + k (h, k) are the coordinates of the vertex

Given y = x² + 7x - 5

To express in vertex form use the method of completing the square

add/subtract ( half the coefficient of the x- term )²

y = x² + 2( \frac{7}{2} )x +\frac{49}{4} - \frac{49}{4} - 5

y = (x + \frac{7}{2} )² - \frac{49}{4} - \frac{20}{4}

y = (x + \frac{7}{2} )² - \frac{69}{4}

Hence

a = \frac{7}{2} and b = - \frac{69}{4}

8 0
3 years ago
Consider f(x) = 2x^2 + 1 and g(x) = 3x - 6. Which statement about f + g is true?
Vika [28.1K]

Answer:

Vertex of a quadratic function (formula)

Step-by-step explanation:

8 0
3 years ago
Someone please help! find x round to the nearest tenth! trigonometry!​
TEA [102]

Answer:

<h2>x = 745.5 ft</h2>

Step-by-step explanation:

Look at the picture.

Use sine:

sine=\dfrac{opposite}{hypotenuse}

We have a measure of the angle and length of the opposite:

\alpha=28^o,\ opposite=350\ ft

\sin28^o\approx0.4695

Substitute:

\dfrac{350}{x}=0.4695

\dfrac{350}{x}=\dfrac{4695}{10000}            <em>cross multiply</em>

4695x=3500000           <em>divide both sides by 4695</em>

x=\dfrac{3500000}{4695}\to x\approx745.5

5 0
3 years ago
The sale price of a bicycle is $130 this is 60% of the original price. find the original price​
WITCHER [35]
$208

Steps:
10% of 130 is 13
13 x 6 would give you 60%
13 x 6 is 78
60% = 78
130 + 78 = 208
5 0
3 years ago
Read 2 more answers
12g+6=78 thats what i need help with
Mrrafil [7]
I assume you need to solve for g?
12g + 6 = 78
- 6
12g = 72
÷ 12
g = 6
I hope this helps! Let me know if you want me to explain anything :)
4 0
3 years ago
Read 2 more answers
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