65,632.25 in expanded form is : 60,000 + 5,000 + 600 + 30 + 5 + .2 + .05
^ means to the power of or exponent
logb(x) = y is b^y = x
9514 1404 393
Answer:
the correct choices are shown
Step-by-step explanation:
<u>Statement</u> . . . . . <u>Reason</u>
1. c ║ d; ∠4 = ∠5 . . . . . Given
2. ∠4 = ∠7 . . . . . Alternate interior angles are equal
3. ∠5 = ∠8 . . . . . Vertical angles are equal
4. ∠7 = ∠8 . . . . . Substitution
It's the slope-point formula:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
We have:
![y-5=-\dfrac{1}{2}(x+7)](https://tex.z-dn.net/?f=y-5%3D-%5Cdfrac%7B1%7D%7B2%7D%28x%2B7%29)
Therefore, the slope ![m=-\dfrac{1}{2}](https://tex.z-dn.net/?f=m%3D-%5Cdfrac%7B1%7D%7B2%7D)
Answer:
Point R is at (−20, 10), a distance of 30 units from point Q
Step-by-step explanation:
Q has coordinates (-20,-20).
P has coordinates (10,-20)
Since point R is vertically above point Q, it will have the same x-coordinate as Q.
Let R have coordinates (-20,y).
It was given that;
![|RQ|=|PQ|](https://tex.z-dn.net/?f=%7CRQ%7C%3D%7CPQ%7C)
![\Rightarrow |y--20|=|10--20|](https://tex.z-dn.net/?f=%5CRightarrow%20%7Cy--20%7C%3D%7C10--20%7C)
![\Rightarrow y+20=10+20](https://tex.z-dn.net/?f=%5CRightarrow%20y%2B20%3D10%2B20)
![\Rightarrow y=10+20-20](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D10%2B20-20)
.
The coordinates of R are (-20,10).
The dstance from Q is 30 units.