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xz_007 [3.2K]
3 years ago
14

Write equations for the horizontal and vertical lines passing through the point (8,5)

Mathematics
1 answer:
almond37 [142]3 years ago
7 0

Answers:

Horizontal Line:  y = 5

Vertical Line:  x = 8

=================================================

Explanation:

All horizontal lines are of the form y = k, for some constant k. We want the horizontal line to pass through (8,5), meaning every point on this horizontal line must have y coordinate 5. Therefore, y = 5 is the equation of the horizontal line. Two such points on this line are (1, 5) and (8, 5). All that matters is the y coordinate is 5. The x coordinate can be anything you want. The slope of any horizontal line is 0.

Flipping things around, all vertical lines will have the x coordinate of each point be the same value. Draw a vertical line through (8,5) and note how each point has x coordinate of 8. Two such points are (8,1) and (8,5). Therefore, the equation of the vertical line is x = 8. The y coordinate can be any value you want. The slope of any vertical line is undefined. Unlike the horizontal line, we cannot write this equation in slope intercept form (namely because the slope isn't defined).

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The cost to manufacture t shirts can be represented by the function c(x)=10.5x complete the following statement about the functi
Advocard [28]

For this case we have:

Cost of manufactures of T-shirts C(x)=10.5x

where x represents the number of T-shirts

Part A:

Substituting x = 8 in the total cost equation you have to:

C (8) = (10.5) (8)\\\\C (8) = 84\\

Thus, the cost of 8 shirts will be C (8) = 84\\

Part B:

If x = 12 then

C (12) = (10.5) (12)\\\\C (12) = 126\\

Thus, the cost of 12 shirts will be C (12) = 126\\

Answer:

C (8) = 84\\\\C (12) = 126\\\\


8 0
3 years ago
Read 2 more answers
Find the sum and product of the roots. 3x^<br> 2 - 4x - 7 = 0
victus00 [196]
Given the quadratic function, to get the roots we factorize:
3x²-4x-7=0

3x²+3x-7x-7=0
3x(x+1)-7(x+1)=0
(3x-7)(x+1)=0
thus the roots are
x=-1 or x=3/7
thus the sum of the roots will be:
-1+3/7
=-4/7
6 0
3 years ago
I need help pleaseeeee
levacccp [35]
The answers is 30 km.....
6 0
3 years ago
Please help !!! I’ll mark you as brainliest if correct
kozerog [31]

Answer:

10 seconds

Step-by-step explanation:

we are given the height (s) which is 1600ft. and the formula—where t is time in seconds— t= 1/4\sqrt{s}, so we can plug 1600ft in for s and solve:

t= 1/4\sqrt{1600}

t= 1/4(40)

t= 10 seconds

5 0
3 years ago
Find all solutions to 2sin(θ)=√3 on the interval 0≤θ&lt;2π
makkiz [27]

Answer:

2sin(3θ) - √3 = 0

Step-by-step explanation:

 sin(3θ) = √3/2

 

3θ = π/3 + 2kπ or 2π/3 + 2kπ, k = 0, ±1, ±2, ±3,...

 

θ = π/9 + 2kπ/3, 2π/9 + 2kπ/3

 

If k = 0, we get θ = π/9, 2π/9

If k = 1, we get θ = 7π/9, 8π/9

If k = 2, we get θ = 13π/9, 14π/9

 

Other values of k give values of θ lying outside of the interval [0, 2π).

7 0
2 years ago
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