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jeka57 [31]
3 years ago
14

Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the graph of ea

ch equation:
(-8,2) 5x - 4y = 1
Mathematics
1 answer:
koban [17]3 years ago
6 0

Answer:

slope(m)=5/4 and

y-intercept (c)=12

Step-by-step explanation:

here,given equation of a line is

5x-4y-1=0...eqn(i)

equation of any line parallel to line(i) is

5x-4y+k=0...eqn(ii)

since,the line(ii) passes through (-8,2)[replacing x=-8 and y=2 in eqn(ii), we get]

5*(-8)-4*2+k=0

or-40-8+k=0

•°•k=48

substituting the value of k=48 in eqn(ii),

5x-4y+48=0 is the required equation of the line.

now,

changing eqn(ii) in slope intercept form we get,

4y=5x+48

or,y=5x/4+48/4

or,y=(5/4)x+12

comparing it into y=mx+c we get,

slope(m)=5/4 and y-intercept(c)=12

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Shannon went to an auto repair shop and paid $339.50, which included parts that cost $112 and 3.5 hours of labor. Joni went to a
Illusion [34]

Answer:

Option A, Shannon paid $ 7 per hour to labor than Joni

Step-by-step explanation:

Total amount paid by Shannon = $339.50

Total cost of 3.5 hours of labor paid by Shannon =($339.50- $112)

Total cost of 3.5 hours of labor paid by Shannon = $227.5/3.5

Total cost of 1 hours of labor paid by Shannon  $65 per hour

Total amount paid by Joni = $455

Total cost of 2.5 hours of labor paid by Joni =  $455- $$310

Total cost of 1 hours of labor paid by Joni = $145/2.5

Total cost of 1 hours of labor paid by Joni = $ 58

Hence, Shannon paid $ 7 per hour to labor than Joni

Option A is correct

8 0
3 years ago
The figure is a circle with center O.
STatiana [176]

<u>Given</u>:

Given that the circle with center O.

The radius of the circle is OB.

The chord of the circle O is PQ and the length of PQ is 12 cm.

We need to determine the length of the segment PA.

<u>Length of the segment PA:</u>

We know that, "if a radius is perpendicular to the chord, then it bisects the chord and its arc".

Thus, we have;

PA=\frac{PQ}{2}

Substituting the value PQ = 12, we get;

PA=\frac{12}{2}

PA=6 \ cm

Thus, the length of the segment PA is 6 cm.

Hence, Option d is the correct answer.

3 0
3 years ago
What is the slope and y-intercept for <br> -6x + 4y = -12
Anestetic [448]
Slope: 3/2
Y-Intercept: -3
6 0
3 years ago
Can someone help me and explain? I will mark brainlest. ♡
Sedbober [7]

Answer:

p'(4) = -3

q'(8) = \frac{1}{4}\\

Step-by-step explanation:

For p'(4):

p(x) = f(x)g(x) \\ p'(x) = \frac{d}{dx}(f(x)g(x)) \\ p'(x) = f'(x)g(x) +f(x)g'(x)

p'(4) = f'(4)g(4) + f(4)g'(4) \\ p'(4) = (-1)(3) +(7)(0) \\ p'(4) = -3

For q'(8):

q(x) = \frac{f(x)}{g(x)} \\ q'(x)= \frac{d}{dx}(\frac{f(x)}{g(x)}) \\ q'(x) = \frac{f'(x)g(x) -f(x)g'(x)}{{g(x)}^2}

q'(8) = \frac{f'(8)g(8) -f(8)g'(8)}{{g(8)}^2} \\ q'(8) = \frac{(2)(2) -(6)(\frac{1}{2})}{{2}^2} \\ q'(8) = \frac{4 -3}{4} \\ q'(8) = \frac{1}{4}

4 0
3 years ago
Read 2 more answers
Venita is factoring the expression 32ab-ab. She determines the GCF and writes the factored expression as 8b(4a-0) Which best des
Ymorist [56]
A) she incorrectly determined the GCF.

The GCF of 32ab - ab would be ab, not 8b.
7 0
3 years ago
Read 2 more answers
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