For letter b:
First times 5 on both sides to get rid of the denominator of 5
5 * y
— = 4 * 5
5
Then the answer is
y = 20
For letter c:
First move constants on one side, variables on the other
2g = 17 - 8
Then collect like terms:
2g = 9
Then divide both sides which would equal:
g = 9/2
The sum of the measures of the angles is 180 degrees.
75 + -5w + 125 + 4w + 85 = 180
Combine like terms.
285 - w = 180
Subtract 285 from both sides.
-w = -105
Divide both sides by -1.
w = 105
X-intercept (0,4.5)
Y intercept(0,-1)
Answer:
y = -2x + 5
slope = -2
y intercept = 5
Step-by-step explanation:
Slope intercept form of equation of line is given by y = mx + c
where m is the slope of line
c is the y intercept i.e point where given line intersect y axis.
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given equation 4x + 2y = 10
we have to re-write this equation in form y = mx + c
4x + 2y = 10
subtraction 4x from LHS and RHS
4x + 2y - 4x= 10 - 4x
2y = 10- 4x
we have to eliminate 2 from y for that we
divide LHS and RHS by 2 we
2y /2 = 10/2- 4x/2
y = 5 - 2x
rearranging it in y = mx+c form
y = -2x + 5
thus, m = -2 , c = 5
Answer:
Step-by-step explanation:
What's inside the set of parenthesis is a description of the angle in terms of cos and sin. This says that the angle has a cos of square root of 3 over 2, and a sin of negative 1 over 2.
The cos of this angle is the line directly horizontal ON the x axis, since cos is the same as x.
The sin of this angle is the line that would be there if you dropped an altitude from the arrow on the x line to the arrow on the other line.
The tangent ratio, being side opposite over side adjacent will give us the angle we need. Use the inverse tangent and enter in those values and you'll get that the angle is -30.
OR
even easier than that, look at your unit circle to see where there is a cos, sin combination of those values. It will be located at -30 degrees, which is also 330 degrees.
