Well the y-intercept is where a line crosses the y-axis
y=-4x-6
think of it as y=mx+b
m is always going to be your slope
b is always going to be your y-intercept
y-intercept of y=-4x-6
is -6
<em>To find the x-intercept, substitute 0 for y and solve for x. </em>
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<em>To find the y-intercept, substitute 0 for x and solve for y.</em>
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<em>x-intercepts : (4, 0), (1, 0) </em>
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<em>y-intercepts : (0, 4)</em>
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Answer:
11 grades of 85 did Brenda, Robert, and Timothy receive altogether.
Step-by-step explanation:
Let 6x be the number of 85 received by Brenda.
The number of 85 received by Robert is 1/3 of Brenda= 2x
The number of 85 received by Timothy is 1/2 of Brenda= 3x
Then according to the given conditions
6x+ 2x+ 3x
= 11x
So the number of total 85s received by all the three is 11.
11 grades of 85 did Brenda, Robert, and Timothy receive altogether.
Answer:
Apply the sine theorem in triangle ABC:
sin C = AB/AC = 4/5
=> C = arcsin(4/5) = 53.13 deg
As shown in picture, AB//CD. Using the same side interior angles theorem:
=> angle BCD = angle ABC = 90 deg
=> angle ACD = 90 - angle ACB = 90 - C = 90 - 53.13 = 36.87 deg
Apply the cosine theorem in triangle ACD:
cos C = AC/CD
=> CD = AC/cos C = 5/cos(36.87) = 5/0.8 = 6.25
=> Option C is correct
Hope this helps!
:)