9514 1404 393
Answer:
78.71 mph
Step-by-step explanation:
You're looking for the solution to ...
d = 88
0.0015r^2 +r = 88
0.0015r^2 +r -88 = 0
Using the quadratic formula*, we find ...
r = (-1 +√(1² -4(0.0015)(-88)))/(2×0.0015)
r = (-1 +√1.528)/0.003 = 0.236123/0.003 = 78.7077
The speed of the car was about 78.71 mph.
_____
* The quadratic formula will also give a negative answer of about -745 mph, which is not relevant to the situation.
Answer:
For x = 10:

For y = - 3:

Step-by-step Explanation:
Before we start let's recall the formula for the linear equations.

So first let's solve for x=10:

Move 10 to the other side.

As there is no y given we will simply write 0y.

Now let's solve for y=-3:

Move -3 to the other side.

As there is no x given we will simply write 0x.

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Answer:
8 square units and
square units
Step-by-step explanation:
The area of the triangle ABC is 24 square units.
1. Triangles ABC and FBG are similar with scale factor
then

2. Triangles ABC and DBE are similar with scale factor
then

3. Thus, the area of the quadrilateral DFGE is

and the area of the quadrilateral ADEC is

Answer:
x^2 +3x +3
Step-by-step explanation:
(9x^2+3x+6)–(8x^2+3)
Distribute the negative sign
(9x^2+3x+6)–8x^2-3
Combine like terms
9x^2–8x^2+3x+6–8x^2-3
x^2 +3x +3