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Zolol [24]
3 years ago
9

PLEASE HURRY

Mathematics
1 answer:
stich3 [128]3 years ago
8 0

Answer:

\large\boxed{y=\dfrac{1}{2}x-10}

Step-by-step explanation:

\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\\text{We have the equation of a line in standard form}\ Ax+By=C.\\\text{Convert to the slope-intercept form}\ y=mx+b\\\\2x+y=-7\qquad\text{subtract 2x from both sides}\\\\y=-2x-7\to m_1=-2\\\\\text{Therefore}\ m_2=-\dfrac{1}{-2}=\dfrac{1}{2}.\\\\\text{We have the equation}\ y=\dfrac{1}{2}x+b.

\text{The line passes through the point (8, -6). Put the coordinates of this}\\\text{point to the equation and solve}\ b:\\\\-6=\dfrac{1}{2}(8)+b\\\\-6=4+b\qquad\text{subtract 4 from both sides}\\\\-10=b\to b=-10\\\\\text{Finally we have:}\ y=\dfrac{1}{2}x-10

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Can a coefficient have two variables?
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6 0
3 years ago
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Rewrite the following as a base-ten numeral: 3(10)^3+5(10)^2+6(10)
Setler [38]

3000 + 500 + 60 = 3560

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Your calculator can help you out here if you really have no idea that the exponent of 10 tells you the number of zeros: 10^3 = 1000.

8 0
3 years ago
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Please help i don’t know how to find the slope
lilavasa [31]
Y= mx+b is the formula for writing and equation for slope.


M= slope
B= y-intercept

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6 0
3 years ago
Use the diagram to complete the proof by filling in the blanks. Picture is attached
galben [10]

Answer:

Step-by-step explanation:

From the question attached,

Given:

RT and PQ intersect at a point S.

RS = PS and ST = SQ

To prove :

RT = PQ

             Statements                               Reasons

1). RS = PS and ST = SQ                 1). Given

2). RS + ST = PS + SQ                    2). Addition property

3). RS + ST = RT ; PS + SQ = PQ   3). Pair of line segments

4). RT = PQ                                    4). Substitution property

7 0
4 years ago
Slice the system of equations below 4×+y=16 and 2×+y=-2
BartSMP [9]
Answer: x = 9, y = -14

Explanation:

4x + y = 16 
2x + y = -2<span>

</span>   4x + y = 16 
-  2x + y = -2
-------------------
   2x + 0 = 18
-------------------

2x = 18
x = 9         <<<<<  ¯\_(ツ)_/¯ For the value of x

Plug x = 9 into  2x + y = -2

2(9) + y = -2
12 + y = -2
y = -14         <<<<<  ¯\_(ツ)_/¯ For the value of y

5 0
4 years ago
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