Write the equations of the lines, representing the following conditions, in the form y = mx + b, where m is the slope and b is the y-intercept:Part A) Passes through (2, 5) and m = 3/4 Part B) Passes through (−3, 2) and (1, −3) Part C)m=2/5 and y-intercept =-6 Part D) x-Intercept = 4 and y-intercept = −2 Part E) Passes through (−2, 2) and parallel to 4x − 3y − 7 = 0
Answers
Answer 1
Answer:
Part A) Passes through (2, 5) and m = 3/4
y - 5 = 3/4 (x - 2)
y = 3x/4 - 3/2 + 5
y = 3x/4 + 7/2
Part B) Passes through (−3, 2) and (1, −3)
y - 2 = [(2 -(-3)) / (-3 -1) ] * [x - (-3)]
y - 2 = [5/(-4)] * [x+3]
y = -5x/4 - 15/4 + 2
y = -5x/4 -7/4
Part C)m=2/5 and y-intercept =-6
y = 2x/5 - 6
Part D) x-Intercept = 4 and y-intercept = −2
x-Intercept = 4 = (4,0)
and y-intercept = −2 = (0, - 2)
y - (-2) = [ (0 - (-2) ) / (4-0)] * [x-0]
y +2 = [2/4] (x)
y = x/2 - 2
Part E) Passes through (−2, 2) and parallel to 4x − 3y − 7 = 0
This is because there is an imaginary 1 in front of the first sqrt.
√7+3√7 = 4√7 thus answer is 4√7
Let y be a function of x such that 2x-3y=6. What is the rate if change of y with respect to x?
Answers
2x - 3y = 6 first, isolate y: -3y = -2x + 6 y = (2/3)x - 2 This is a linear function in standard form, so we know that the slope (in this case the rate of change of y in respect to x) is 2/3
HELP PLEASE!!! What is the ratio of 1713.57^2/4113.87^3.
Answers
Answer:
4.21747×10^-5
Step-by-step explanation:
Your calculator can do the division for you. The ratio is about 4.21747×10^-5.
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This is approximately 10/237109.
How would I find the surface area of the cone in terms of pi? It has a radius of 7 cm and a slant height of 19 cm.
Answers
The formula is SA = . r is the radius and l is the slant height. In your case it would be .
L.S.A = pi (7) (19) similar to 133*pi 3.14 * 133 similar to 417.62 similar to 417.62cm^2