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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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What is the surface area of the prism in square inches?
Kay [80]

<u>Given</u>:

Given that the triangular prism with height 10 inches.

The side lengths of the base of the triangle are 12 inches, 13 inches and 5 inches.

We need to determine the surface area of the prism.

<u>Surface area of the prism:</u>

The surface area of the prism can be determined using the formula,

SA=bh+(s_1+s_2+s_3)H

where b is the base and h is the height of the triangle.

s₁, s₂, s₃ are the side lengths of the triangle and

H is the height of the prism.

Substituting b = 12, h = 5, s₁ = 12, s₂ = 5, s₃ = 13 and H = 10 in the above formula, we get;

SA=(12)(5)+(12+5+13)(10)

SA=60+(30)(10)

SA=60+300

SA=360 \ in^2

Thus, the surface area of the triangular prism is 360 square inches.

Hence, Option b is the correct answer.

8 0
3 years ago
Solve for m GHI if m GHJ = 59° and m JHI = 39º.
Setler79 [48]

Answer:

m GHI = 82°

Step-by-step explanation:

59+39=98

180-98=82 <==== answer

180 is the total amount of degree

7 0
3 years ago
What is the slope of the line with the equation of y=-2/3x that passes through the point (2,1)
kow [346]

Answer:

-\frac{2}{3} = m

Step-by-step explanation:

In the Slope-Intercept Formula, y = mx + b, <em>b</em><em> </em>represents the y-intercept, and the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>] is represented by <em>m</em>,<em> </em>so the slope is −⅔.

I am joyous to assist you anytime.

5 0
3 years ago
The sum of six times a number and negative five is negative eleven. Is -1 a reasonable answer?
kupik [55]

Answer:

Yes, -1 is reasonable.

Step-by-step explanation:

Sum means adding +.

(6*-1) - 5 = -11

8 0
3 years ago
Adding negative numbers<br> 5+ (-4) =
anygoal [31]

Answer:

1

Step-by-step explanation:

Follow the signs rule:

IF:

There is a + sign, and the number directly next is +, add

There is a + sign, and the number directly next is -, subtract

There is a - sign, and the number directly next is +, subtract

There is a - sign, and the number directly next is -, add

In this case, there is a plus sign, and a negative sign, therefore, subtract:

5 + (-4) = 5 - 4 = 1

1 is your answer.

~

5 0
3 years ago
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