Answer:
2.65 feet per minute or 0.0441667 feet per second
Step-by-step explanation:
Answer:
(-1,4)
Step-by-step explanation:
For x the midpoint between -2 and 0 is -1
for y the midpoint between -1 and 9 is 4
Answer:
so x=5 1/3 and
y= -2 2/3
Step-by-step explanation:
x-3y= -2x+3y=16. First we need to move all variables to one side of the equation and whole numbers to the other side of the equation. I see
x-3y+2x-3y=16. -3y-3y equals to -6y. 2x+x=3x. so 3x-6y=16. Lets take out the -6y so our equation would be 3x=16. x would equal 5 1/3. Now lets put back -6y into our equation. Let's now substitute x as 0. 3 times 0 equals 0 so our equation would now be -6y=16 which equals to -2 2/3.
so x=5 1/3 and
y= -2 2/3
Answer:
<h3>A. 1.15 x 10^2
</h3>
Step-by-step explanation:
Given the following;
Diameter of the sun ds = 1,391,000 kilometers
Diameter of the Venus dv = 12,100kilometers
Taking the ratio of both diameters;
Ratio = Diameter of sun/Diameter of Venus
Ratio = 1,391,000/12,100
Ratio = 13910/121
Ratio = 114.958
Hence ds/dv = 114.958
ds/dv = 1.149 *10^2
ds/dv = 1.15*10^2
ds = 1.15*10^2 dv
Hence the diameter of the sun is 1.15*10^2 larger than that of the venus.
Answer:
see explanation
Step-by-step explanation:
A
Given
(x² + 3)² + 21 = 10x² + 30 ← factor out 10 from each term on the right side
(x² + 3)² + 21 = 10(x² + 3) ← subtract 10(x² + 3) from both sides
(x² + 3)² - 10(x² + 3) + 21 = 0
Substituting u = x² + 3 into the equation gives
u² - 10u + 21 = 0 → D
---------------------------------------------
B
Using u² - 10u + 21 = 0 to solve the equation
Consider the factors of the constant term (+ 21) which sum to give the coefficient of the u- term (- 10)
The factors are - 3 and - 7, since
- 3 × - 7 = 21 and - 3 - 7 = - 10, thus
(u - 3)(u - 7) = 0
Equate each factor to zero and solve for u
u - 3 = 0 ⇒ u = 3
u - 7 = 0 ⇒ u = 7
We now have to use the substitution to convert the solutions into terms of x, that is
x² + 3 = 3 ( subtract 3 from both sides )
x² = 0 ⇒ x = 0 → D
x² + 3 = 7 ( subtract 3 from both sides )
x² = 4 ( take the square root of both sides )
x = ± 
= ± 2
Thus x = - 2 → C
x = 2 → E
