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Alisiya [41]
3 years ago
9

What is the equation of the line that passes through the points (−2, 3) and (2, 7)?

Mathematics
1 answer:
vichka [17]3 years ago
6 0
The slope = (y2-y1) / (x2-x1) 
=  (7-3) / (2- -2)
= 4/4
= 1
using the point/slope form of a line:-
y - y1 =  m(x - x1)
y -  3 = 1(x -  -2)
y = x + 2 + 3
y = x + 5  (answer)
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What are the coordinates of the circumcenter of a triangle with vertices A(0,1), B(2, 1) , and C(2, 5) ?
KatRina [158]
The circumcenter is where the perpendicular bisectors meet.
if you sketch the triangle, you will see that it is a right triangle, with the right angle vertex at (2,1)
one perpendicular bisector is x=1, another perpendicular bisector is y=3
they meet at (1,3)
so (1,3) is the answer. 
4 0
3 years ago
Solve for k 5/8(3k+1)-1/4(7k+2)=1
lesya [120]

Answer:

<h2>k = 7</h2>

Step-by-step explanation:

\dfrac{5}{8}(3k+1)-\dfrac{1}{4}(7k+2)=1\qquad\text{multiply both sides by 8}\\\\8\!\!\!\!\diagup^1\cdot\dfrac{5}{8\!\!\!\!\diagup_1}(3k+1)-8\!\!\!\!\diagup^2\cdot\dfrac{1}{4\!\!\!\!\diagup_1}(7k+2)=8\cdot1\\\\5(3k+1)-2(7k+2)=8\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(5)(3k)+(5)(1)+(-2)(7k)+(-2)(2)=8\\\\15k+5-14k-4=8\qquad\text{combine like terms}\\\\(15k-14k)+(5-4)=8\\\\k+1=8\qquad\text{subtract 1 from both sides}\\\\k=7

3 0
3 years ago
Simplify: 3 . 3^2 + 8 ÷ 2 - (4 + 3) A: 32 B: 24 C: 23 D: 30
yaroslaw [1]

Answer:

its none of these answers ;-;

Step-by-step explanation:

3^2 + 8 ÷ 2 - (4 + 3)

we do what's in parentheses first. (pemdas)

so now we have, 3^2 + 8 ÷ 2 - 7

next exponents, 3^2=9

9 + 8 ÷ 2 - 7

next division, 8÷2=4

9 + 4 - 7

next addition, 9+4=13

13-7

finally subtraction, 13-7=6

final answer: 6

7 0
3 years ago
What is the slope of the line that passes through the points (-4, 0) and (-4, -10)? Write your answer in simplest form.
Tresset [83]

Answer:

<h2>         There is no slope.</h2>

Step-by-step explanation:

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

It means that for a line passing through two points to have the slope, the x-coordinates of these point have to be different.

(-4, 0) and (-4, -10) means x₁ = x₂ = -4, <u>so there is no slope.</u>

{the line is parallel to Y-axis, and has an equation:  x=-4}

4 0
3 years ago
A triangular prism is 40 feet long and has a triangular face with a base of 24 feet and a height of 35 feet. The other two sides
babymother [125]

Answer:

4406.08 ft

Step-by-step explanation:

6 0
3 years ago
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