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SOVA2 [1]
3 years ago
13

Write an equation in slope-intercept form for the line parallel to y = 5x - 2 that passes through the point (8, -2).

Mathematics
1 answer:
steposvetlana [31]3 years ago
6 0

Answer:

$ y = 5x - 42 $

Step-by-step explanation:

The equation of parallel line differ only by their constant.

Hence, the equation of the line parallel to $ y = 5x - 2 $ is nothing but $ y = 5x + c $

When a point passing through this line is given we can substitute the point in this line and get the value for $ c $.

The line passes through $ (8 , -2) $.

Therefore, we have: $ -2 = 5(8) + c $

$ \implies c = -42$.

Substituting this we get the equation of the parallel line as $ y = 5x - 42 $.

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Please helppp (had to have 20 words haha)
s2008m [1.1K]

Answer:

w==77

Step-by-step explanation:

The sum of the 2 opposite interior angles equals the exterior angle.

w-36 +w-20=w+21

combine like terms: 2w-56=w+21

subtract w from both sides: w-56=21

add 56 to both sides: <u>w=77</u>

6 0
3 years ago
Help ASAP I will give 20 pionts!
pychu [463]
What do you need help with
4 0
4 years ago
Read 2 more answers
If y = –0.96 when x = 2.4, what is y when x = 2.9?
Ksivusya [100]

Answer:

<u>It should be -1.16</u>

Step-by-step explanation:

Hope this helps :)

6 0
2 years ago
Factorise: a squared +8a -20
Vaselesa [24]
Factor out the 4 in both equations
8a^2-20^2=(2^2 times a^2 times 2)-(2^2 times 5)
therefor it is also equal to
(2a)^2 times 2-(2^2 times 5)
we can force it into a difference of 2 perfect squares which is a^2-b^2=(a-b)(a+b)
(2a√2)^2-(2√5)^2=((2a√2)-(2√5))((2a√2)+(2√5))


8 0
3 years ago
Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were all
Sergio039 [100]
Let events
A=Nathan has allergy
~A=Nathan does not have allergy
T=Nathan tests positive
~T=Nathan does not test positive

We are given
P(A)=0.75  [ probability that Nathan is allergic ]
P(T|A)=0.98  [probability of testing positive given Nathan is allergic to Penicillin]

We want to calculate probability that Nathan is allergic AND tests positive
P(T n A)

From definition of conditional probability,
P(T|A)=P(T n A)/P(A)
substitute known values,
0.98 = P(T n A) / 0.75
solving for P(T n A)
P(T n A) = 0.75*0.98 = 0.735

Hope this helps!!
3 0
3 years ago
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