Answer:
13
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
d=√((x_2-x_1)²+(y_2-y_1)²)
√((10)-(-2))^2+(-1)-(4)^2)
√(144+25)
√(169)
13
Given the function f(x)=-3x^3+9x^2-2x+3 what part of the function indicates that the left end starts at the top of the graph
The negative sign in the cubed term.
Answer:
B. 6Fx + 6Gy = 6H
Qx + Ry = S
Step-by-step explanation:
Equivalent equations can be created many ways. One of the simplest is to multiply both sides of the equation by the same number. In the answer above, the first equation has been multiplied by 6. Nothing has been done to the second equation.
_____
<em>Comments on other choices</em>
A: some terms have been multiplied by 6. This changes the equation(s) so they are no longer equivalent to the ones you started with.
B: the correct choice
C: see A.
D: the first equation has been multiplied by 6, so that is equivalent to the original. The second equation has the sign of one of the terms changed, so it is now a different equation.
Answer:
A. f(x)=x^2+x+0.25
Step-by-step explanation:
If x represents Lindsey's distance at 2:00 PM, then 2x represents Kara's distance at 2:00 PM because she walked twice as far as Lindsey. Then adding on the values we got for 2:30 PM, we get that Kara walked a distance of 2x+1 and Lindsey walked a distance of x+0.5 at the time of 2:30 PM. Now, we know that they have formed a right triangle because we are given the directions they walked in; east and north. This allows us to use a formula for the area of a right triangle: 1/2(L x W). Plugging in our values, we get...
1/2(2x+1)(x+0.5)
which simplifies to...
1/2(2x^2+2x+0.5)
which further simplifies to...
x^2+x+0.25
which is our answer.
0.13 + 0.14= 0.27
0.27 ÷ 2 = 0.135
Therefore the midpt. Is 0.135
