Answer:
The given lines are parallel when plotted in graph.
Step-by-step explanation:
Answer:
36 is dividend
in 36/6, 6 is the divisor
the other 6 is quotient
Step-by-step explanation:
Answer:
![A.\ ~~x=16,~ y=9\sqrt{2}](https://tex.z-dn.net/?f=A.%5C%20~~x%3D16%2C~%20y%3D9%5Csqrt%7B2%7D)
Step-by-step explanation:
We have completed the diagram with some lengths that come directly from the figure's symmetry.
Note the triangle formed at the left side of the trapezium is isosceles because it has an angle of 90° and another angle of 45°.
This means the base of the triangle has the same length as the height of 9.
This means the total base of the trapezium is x = 9 + 7 = 16
The right triangle must satisfy Pythagora's Theorem:
![y^2=9^2+9^2](https://tex.z-dn.net/?f=y%5E2%3D9%5E2%2B9%5E2)
![y^2=2*9^2](https://tex.z-dn.net/?f=y%5E2%3D2%2A9%5E2)
![y=\sqrt{2*9^2}](https://tex.z-dn.net/?f=y%3D%5Csqrt%7B2%2A9%5E2%7D)
Simplifying the radical:
![y=9\sqrt{2}](https://tex.z-dn.net/?f=y%3D9%5Csqrt%7B2%7D)
The correct answer is: ![\mathbf{A.\ ~~x=16,~ y=9\sqrt{2}}](https://tex.z-dn.net/?f=%5Cmathbf%7BA.%5C%20~~x%3D16%2C~%20y%3D9%5Csqrt%7B2%7D%7D)
Answer:
84°
Step-by-step explanation:
1. <u>point of intersection of 2y=x-13 and 3y+x+12=0</u>
x = 2y + 13 ==> 3y + (2y+13) + 12 = 0 ==> 5y + 25 = 0 ==> y = -5
x = 2*(-5) +13 = 3
point of intersection: (3 , -5) L1: pass (3 , -5) and (-4 , -7)
slope of L1 = (-7 - -5)/(-4-3) = -2 / -7 = 2/7
L2 pass (3 , -5) perpendicular to 2x-5y=4
2x-5y=4 ==> y = 2/5 x - 4 slope = 2/5
so slope of L2 = -5/2
angle Θ between two slopes: tan Θ = | (m2-m1) / (1 + m1*m2)|
==> = | (-5/2 - 2/7) / (1 + -5/2*2/7) | = |(-39/14) / (4/14) | = |- 39/4| = 39/4 = 9.75
Θ = 84°