Answer:
You will drive 5 kilometers a second
Step-by-step explanation: To determine how many kilometers you will drive in one second, you need to take the data already given to you and use it to solve this problem. First you need to take the amount of kilometers you drive in 20 seconds which is 100, and divide it by 20 to find out the answer to this problem.
Answer: ![(x+6)^2=-4(y-1)](https://tex.z-dn.net/?f=%28x%2B6%29%5E2%3D-4%28y-1%29)
Step-by-step explanation:
Given
Vertex of the parabola ![(-6,1)](https://tex.z-dn.net/?f=%28-6%2C1%29)
Focus of the parabola ![(-6,0)](https://tex.z-dn.net/?f=%28-6%2C0%29)
As the x coordinate of vertex and focus is same and focus lie below the vertex, therefore the parabola is the type of
![(x+6)^2=-4a(y-1)](https://tex.z-dn.net/?f=%28x%2B6%29%5E2%3D-4a%28y-1%29)
distance between Vertex and focus is 1 unit
![\therefore a=1](https://tex.z-dn.net/?f=%5Ctherefore%20a%3D1)
Parabola becomes
![\Rightarrow (x+6)^2=-4(y-1)](https://tex.z-dn.net/?f=%5CRightarrow%20%28x%2B6%29%5E2%3D-4%28y-1%29)
Answer: erm... the vertex it (1,-9)
Step-by-step explanation:
i think i did it right....not good at this stuff
![2\frac{3}{4}+3 \frac{5}{8}=6\frac{3}{8}](https://tex.z-dn.net/?f=2%5Cfrac%7B3%7D%7B4%7D%2B3%20%5Cfrac%7B5%7D%7B8%7D%3D6%5Cfrac%7B3%7D%7B8%7D)
Solution:
Given expression is
.
To simplify the expression ![2\frac{3}{4}+3 \frac{5}{8}.](https://tex.z-dn.net/?f=2%5Cfrac%7B3%7D%7B4%7D%2B3%20%5Cfrac%7B5%7D%7B8%7D.)
Let us first convert the mixed fraction into improper fraction.
![2\frac{3}{4}+3 \frac{5}{8}=\frac{(2\times 4) + 3}{4}+ \frac{(3 \times 8)+5}{8}](https://tex.z-dn.net/?f=2%5Cfrac%7B3%7D%7B4%7D%2B3%20%5Cfrac%7B5%7D%7B8%7D%3D%5Cfrac%7B%282%5Ctimes%204%29%20%2B%203%7D%7B4%7D%2B%20%5Cfrac%7B%283%20%5Ctimes%208%29%2B5%7D%7B8%7D)
![=\frac{8+ 3}{4}+ \frac{24+5}{8}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B8%2B%203%7D%7B4%7D%2B%20%5Cfrac%7B24%2B5%7D%7B8%7D)
![=\frac{11}{4}+ \frac{29}{8}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B11%7D%7B4%7D%2B%20%5Cfrac%7B29%7D%7B8%7D)
Take LCM for the denominators (LCM of 4, 8 = 8) and make the same.
![=\frac{11\times2}{4\times 2}+ \frac{29\times1}{8\times1}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B11%5Ctimes2%7D%7B4%5Ctimes%202%7D%2B%20%5Cfrac%7B29%5Ctimes1%7D%7B8%5Ctimes1%7D)
![=\frac{22}{8}+ \frac{29}{8}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B22%7D%7B8%7D%2B%20%5Cfrac%7B29%7D%7B8%7D)
![=\frac{51}{8}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B51%7D%7B8%7D)
Now, divide 51 by 8 and again write it in the mixed fraction.
![=6\frac{3}{8}](https://tex.z-dn.net/?f=%3D6%5Cfrac%7B3%7D%7B8%7D)
![2\frac{3}{4}+3 \frac{5}{8}=6\frac{3}{8}](https://tex.z-dn.net/?f=2%5Cfrac%7B3%7D%7B4%7D%2B3%20%5Cfrac%7B5%7D%7B8%7D%3D6%5Cfrac%7B3%7D%7B8%7D)
Hence, the simplified answer is
.
Answer:
62.0496 yards separate the first platform from the second platform
Step-by-step explanation:
We have to make the conversion of both units to yards.
Each feet has 12 inches.
Each inch is 0.0278 yards.
The first platform of the Eiffel Tower is 2,280 inches above the ground.
So
2280*0.0278 = 63.384 yards above the ground.
The second platform is 376 feet above the ground.
So
376*12*0.0278 = 125.4336 yards above the ground
How many yards separate the first platform from the second platform?
125.4336 - 63.384 = 62.0496
62.0496 yards separate the first platform from the second platform