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Vanyuwa [196]
3 years ago
5

What is the midpoint between the points (1, 4) and (-3, 2)?

Mathematics
2 answers:
emmasim [6.3K]3 years ago
6 0
\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ 1}}\quad ,&{{ 4}})\quad 
%  (c,d)
&({{ -3}}\quad ,&{{ 2}})
\end{array}\qquad
%   coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left(\cfrac{{{ -3}} + {{ 1}}}{2}\quad ,\quad \cfrac{{{ 2}} + {{ 4}}}{2} \right)
katovenus [111]3 years ago
4 0
Your midpoint is (-1, 3)
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The sum of two numbers is 30 and their difference is 6
Studentka2010 [4]

I'm going to assume that you are trying to find the two numbers. Based on the information in the problem, we can create the following equations (where a and b are the two numbers):

a + b = 30

a - b = 6


We have a systems of equations. In this case, it would be easier to use elimination by adding vertically. This produces the result:

2a = 36

a = 18


To find b, substitute the value for a into one of the earlier equations:

18 + b = 30

b = 12


The two numbers are 12 and 18.

4 0
3 years ago
4.89 gallons of milk is sold for $12.79. If you have $21.44 in your wallet. How many
Mariulka [41]

Answer:

You can buy 8.18 gallons of milk.

Step-by-step explanation:

12.79/4.89 = 2.62

21.44/2.62 = 8.18

5 0
3 years ago
Someone please answer i need your help!!
aev [14]

Answer: there you go

Step-by-step explanation:

8 0
3 years ago
Solve liner equation for they variable<br> 3x-5(x+6)=-2x-2(5+10)
Dvinal [7]

Answer:

all numbers

Step-by-step explanation:

3x - 5(x + 6) = -2x -2(5 + 10)

Distribute on both sides.

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Add 2x to both sides.

-2x - 30 = -2x - 30

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Since we get a true statement after only doing legal steps to solve the equation, the equation has an infinite number of solutions.

Answer: all numbers

4 0
3 years ago
The altitude of an equilateral triangle is 9 inches. Find the perimeter of the triangle in inches.
Fiesta28 [93]
If we  draw a perpendicular line from one of the vertices of the triangle we get  2 right angled triangles  each with  altitude 9 ins  and vertex angle = 30 degrees.   So:-

cos 30 = 9 /h     where h = one of the sides of the equilateral triangle

h =  9 / cos 30  =  10.392 inches

Therefore the perimeter of the triangle = 3 * 10.392 =  31.1769 ins

Answer is 31.18 inches to the nearest hundredth.
5 0
3 years ago
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