14-6y=44
-14 Both sides
-6y=30
÷-6 both sides
Y=-5
Answer:
X=6
FG=31
GH=22
Step-by-step explanation:
Equation: FG+GH=FH
rewrite with values
4x+7 + 5x-8 = 53
combine like terms
9x-1 = 53
add 1 to both sides
9x = 54
divide by 9
x = 6
use 6 end solve for FG and GH
FG = 4(6) + 7 = 31
GH = 5(6) - 8 = 22
Check your answers.. Do FG and GH add up to equal FH (53)?
31 + 22 = 53
I hope this made sense.
Answer:
(8,1)
Step-by-step explanation:
Answer:
119.05°
Step-by-step explanation:
In general, the angle is given by ...
θ = arctan(y/x)
Here, that becomes ...
θ = arctan(9/-5) ≈ 119.05°
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<em>Comment on using a calculator</em>
If you use the ATAN2( ) function of a graphing calculator or spreadsheet, it will give you the angle in the proper quadrant. If you use the arctangent function (tan⁻¹) of a typical scientific calculator, it will give you a 4th-quadrant angle when the ratio is negative. You must recognize that the desired 2nd-quadrant angle is 180° more than that.
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It may help you to consider looking at the "reference angle." In this geometry, it is the angle between the vector v and the -x axis. The coordinates tell you the lengths of the sides of the triangle vector v forms with the -x axis and a vertical line from that axis to the tip of the vector. Then the trig ratio you're interested in is ...
Tan = Opposite/Adjacent = |y|/|x|
This is the tangent of the reference angle, which will be ...
θ = arctan(|y| / |x|) = arctan(9/5) ≈ 60.95°
You can see from your diagram that the angle CCW from the +x axis will be the supplement of this value, 180° -60.95° = 119.05°.
Answer:
8 = 16
Step-by-step explanation:
1/4 = 4
/8
Cross multiply:
1 * 8 = 4 * 4
Simplifying
1 * 8 = 4 * 4
Multiply 1 * 8
8 = 4 * 4
Multiply 4 * 4
8 = 16
Solving
8 = 16
