Answer: 1.4688 x 10^6
Step-by-step explanation: Number has to be in between 1 and 10. Moved the decimal 6 places so that is your exponent
The slope of a line that is parallel to y=5x+3 is 5x.
Two lines must have the same slope to be parallel to each other.
Answer:
Q 19) x = 4; y = 8.
Q 20) x = 0 ; y = 0.
Q 21) x = -1; y = -5.
Step-by-step explanation:
Q 19)
y = 3x - 4 (Equation 1)
x - 4y = -28 (Equation 2)
Put Equation 2 in Equation 1:
x - 4(3x - 4) = -28.
x - 12x + 16 = -28
-11x = -44.
x = -44/-11.
x = 4.
Put x = 4 in Equation 1:
y = 3(4) - 4.
y = 12 - 4.
y = 8.
Q 20)
2x - 3y = 13x - 4y (Equation 1)
-3x - 2y = 0 (Equation 2).
From Equation 2:
-2y = 3x.
y = -3x/2 (Equation 3).
Put Equation 3 in Equation 1:
2x - 3(-3x/2) = 13x - 4(-3x/2).
2x + 4.5x = 13x + 6x.
12.5x = 0.
x = 0.
Put x = 0 in Equation 3:
y = 0.
Q 21)
y = 4x - 1 (Equation 1).
y = -2x - 7 (Equation 2).
Since y = y, therefore:
4x - 1 = -2x - 7.
6x = -6.
x = -1.
Put x = -1 in Equation 1:
y = 4(-1) - 1.
y = -4 - 1.
y = -5.
In short:
Q 19) x = 4; y = 8!!!
Q 20) x = 0 ; y = 0!!!
Q 21) x = -1; y = -5!!!
The correct answer is Choice C.
The y-axis is the speed that the runner is running at. The speed that shows up the most on the graph is 5. From 1 to 5 and from 9 to 10, the runner is running at a speed of 5.
Answer:
71º is measure of angle A
19º is measure of angle B
Step-by-step explanation:
complementary angles are angles that equal to 90º
so let's add the terms (from angles A & B) and set them equal to 90º
3x+2 + x-4 = 90
4x -2 = 90
add 2 to both sides to get rid of the 2 on the left side and isolate our similar terms
4x = 92
divide both sides by 4
x=23
We're not done though, we must plug in our x value to Angle A terms and Angle B terms.
(3(23) + 2)º = measure of Angle A (solve for both of them)
(23-4)º = = measure of Angle B
3(23) + 2 =
3(23) = 69 (add the 2)
71º is measure of angle A
23-4 = 19º
19º is measure of angle B
double-check
71+19 = 90º
It works