Answer:
The answer is 51984
Step-by-step explanation:
40-2(2+10)=
38(2+10)=
96+360=
456=
456/2=
228=228^=
51,984
Answer:
134.8
Step-by-step explanation:
Answer:
a) ![y=-\frac{1}{9}x](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B9%7Dx)
b)![y-2=-\frac{1}{3} (x-1)](https://tex.z-dn.net/?f=y-2%3D-%5Cfrac%7B1%7D%7B3%7D%20%28x-1%29)
Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point given and a slope from the equation. We will chose point-slope since we have a point and can find the slope.
Point slope:![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
a)
in our new equation because it is perpendicular to it. This means we will need to change it into its negative reciprocal which is
.
We will substitute
and
.
![y-0=-\frac{1}{9} (x-0)](https://tex.z-dn.net/?f=y-0%3D-%5Cfrac%7B1%7D%7B9%7D%20%28x-0%29)
This simplifies to:
![y=-\frac{1}{9}x](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B9%7Dx)
b) The equation y=3x+4 follows y=mx+b. For the perpendicular line,
. We will need to change it into its negative reciprocal which is
.
We will substitute
and
.
![y-2=-\frac{1}{3} (x-1)](https://tex.z-dn.net/?f=y-2%3D-%5Cfrac%7B1%7D%7B3%7D%20%28x-1%29)
Answer:
-21.6
Step-by-step explanation:
-5.4
x 4 4x 4=16 so you carry the one to 5x4= 20 + 1 that was carried
-------- keep it negative
-21.6
Answer:
![m\angle RTS=34^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%20RTS%3D34%5E%7B%5Ccirc%7D)
Step-by-step explanation:
From the Isosceles Base Theorem, the two base angles of an Isosceles Triangle are equal. Therefore,
.
Since the sum of the interior angles of a triangle is 180 degrees, we have:
![m\angle RTS +m\angle TRS+112=180,\\2\cdot m\angle RTS+112=180,\\2\cdot m\angle RTS=68,\\m\angle RTS=\boxed{34^{\circ}}](https://tex.z-dn.net/?f=m%5Cangle%20RTS%20%2Bm%5Cangle%20TRS%2B112%3D180%2C%5C%5C2%5Ccdot%20m%5Cangle%20RTS%2B112%3D180%2C%5C%5C2%5Ccdot%20m%5Cangle%20RTS%3D68%2C%5C%5Cm%5Cangle%20RTS%3D%5Cboxed%7B34%5E%7B%5Ccirc%7D%7D)