To solve for this we will be using the formula S = D/T
S = Speed
D = Distance
T = Time
First we need to re-arrange this formula to solve for time
T= D/S
T = 400/230
T=1.74 hours
.74 hours is close enough to .75 that we can say it is 45 minutes
So it is 1 hour and 45 minutes
Answer:
The system has one solution.
Step-by-step explanation:
To find the number of solutions of the system, we equal both equations for y.
If we have ax = b, in which both a and b are different of 0, we have one solution.
If both a and b are 0, we have infinite solutions.
If a is 0 and b is not, there are no solutions.
y=6/7x-8 and y=7/9x+10/9
So





Both a and b are different of 0, so the system has one solution.
1. In parallelograms, opposite sides are congruent. Therefore EV=16
2. In parallelograms, adjacent angles add up to 180°, so measure of angle V = 100°
3. Opposite angles are equal so measure of angle L = 95°
4. Diagonals of parallelograms bisect each other. DE=10
5. Same rule as #4. LV=18
Answer: 54
<u>Step-by-step explanation:</u>
replace "a" with "-2" in the g-equation
g(a) = a² - 4a + 42
g(-2) = (-2)² - 4(-2) + 42
= 4 + 8 + 42
= 54
Answer: A
<u>Step-by-step explanation:</u>
f(x) = x³ + 4x² + 7x + 6
possible rational roots are ±{1, 2, 3, 6}
Try x = -2
-2 | 1 4 7 6
<u>| ↓ -2 -4 -6</u>
1 2 3 0 ← remainder is 0 so x = -2 is a root ⇒ (x + 2) = 0
The factored polynomial x² + 2x + 3 = 0 is not factorable so use the quadratic formula to find the roots.
a=1, b=2, c=3








The factors are: