The distance from point Y to the y-axis is 4 units and the distance from point Z to the y-axis is 3 units, then the lelgth of the segment YZ is 4+3=7 units.
If <span>a scale factor is 3, then the length of Y'Z' will be 7·3=21 units.
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P.S. In the added picture you can see trapezoid ABCD that was dilated by a scale factor 3 about the origin. This may help to understand that all linear values after dilation become multiplied by scale factor.
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First, make the mixed fraction into improper fraction,
x−12=54
Add 1/2 on both sides
x−12+12=54+12
Find LCM,
LCM is 4
x=54+1⋅22⋅2
x=54+24
Add
x=74
Or,
x=134
Or,
x=1.75
X=1.75 IS YOUR ANSWER!
Hope this helps!
Have a great day: )
- Hailey:)
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Answer:
Step-by-step explanation:
(-3x + 2)(45x + 21) + (-4x + 25) = 50
-135x^2 - 63x + 90x + 42 - 4x + 25 = 50
-135x^2 + 23x + 67 = 50
-135x^2 + 23x + 67 - 50 = 0
-135x^2 + 23x + 17 = 0
quadratic formula : x = (-b ± √b^2 - 4ac)/2a
a = -135, b = 23, c = 17
x = -23 ± √23^2 - 4(-135)(17) / (2(-135)
x = (-23 ±√9709 )/ -270
x = 23/270 ± 1 / 270√9709/270
x = 0.4501 or x = - 0.2798 <=== these answers are rounded
Answer:
2
Step-by-step explanation:
Use the formula: change of y over change of x.
When you do that, your systems should look like this:
x1 = 2
y1 = 4
x2 = 6
y2 = 12
After that you plug these number into the corresponding variable.
(12 - 4) / (6 - 2) = 8/4 which equals 2.
The equation x = 180 - (31 + 40) can be used. Because the angles are in a straight line ad straight line equals 180 degrees