Answer:
<em>18x² - 84x + 96</em>
Step-by-step explanation:
(5 × 2 - 6x + 2) × (4 × 2 - 3x)
5 × 2 (4 × 2 - 3x) - 6x(4 × 2 - 3x) + 2(4 × 2 - 3x)
80 - 30x - 6x(4 × 2 - 3x) + 2(4 × 2 - 3x)
80 - 30x - 48x + 18x² - 6x
96 - 84x + 18x²
18x² - 84x + 96
Hope this helps! :)
9514 1404 393
Answer:
(c) (3, 3)
Step-by-step explanation:
Point E partitions both the x-distance and the y-distance in the ratio 2 : 1. That is, for either the x-coordinates or the y-coordinates, ...
CE : ED = 2 : 1
Try the answers with the x-coordinates.
CE : ED = (1 -(-1)) : (5 - 1) = 2 : 4 . . . . incorrect
CE : ED = (-3 -(-1)) : (5 -(-3)) = -2 : 8 . . . . incorrect
CE : ED = (3 -(-1)) : (5 -3) = 4 : 2 = 2 : 1 . . . . correct
CE : ED = (-1 -(-1)) : (5 -(-1)) = 0 : 6 . . . . incorrect
The only viable choice is (3, 3).
_____
<em>Alternate solution</em>
For a partitioning of m : n, the desired point is ...
E = (n×C +m×D)/(m+n)
For partitioning of 2 : 1, the desired point is ...
E = (1×(-1, -3) + 2×(5, 6))/(2+1) = (-1+10, -3 +12)/3
E = (3, 3)
Answer:
T = 12
Step-by-step explanation:
Vertical angles are congruent or equal each other.
8t + 1 = 97
8t + 1 -1 = 97 - 1
8t = 96
8t ÷ 8 = 96 ÷ 8
T = 12
Hope that helped you and have a great day!
Answer:
1/4 of 10
Step-by-step explanation:
Step-by-step explanation:
<u>Substitute 86 ⁰F into the given equation:</u>
![86 = 1.8c + 32](https://tex.z-dn.net/?f=86%20%3D%201.8c%20%2B%2032)
<u>Subtract 32 from both sides:</u>
![54 = 1.8c](https://tex.z-dn.net/?f=54%20%3D%201.8c)
<u>Divide each side by 1.8:</u>
![30 = c](https://tex.z-dn.net/?f=30%20%3D%20c)
If the temperature is 86 ⁰F, that is equivalent to 30 ⁰C.
<u>Substitute 40 ⁰C into the equation:</u>
![f = 1.8(40) + 32](https://tex.z-dn.net/?f=f%20%3D%201.8%2840%29%20%2B%2032)
<u>Multiply:</u>
![f = 72 + 32](https://tex.z-dn.net/?f=f%20%3D%2072%20%2B%2032)
<u>Add:</u>
![f = 104](https://tex.z-dn.net/?f=f%20%3D%20104)
If the temperature is 40 ⁰C, that is equivalent to 104 ⁰F.