acceleration = velocity travelled per unit time= 80/10=8m/s². the acceleration is 8m/s²
Answer:
B)3 = 5x2 – 10x
D)8 = 5(x2 – 2x + 1)
G) = (x – 1)2
Step-by-step explanation:
Given quadratic : 3 - 4x = 5x2 - 14x
We need to apply completing the square to solve the equation.
First step is to get rid 4x from left side.
We can add 4x on right side to get rid from left side.
3 = 5x^2-14x+4x
On simplifying this step, we get
3 = 5x^2-10x
Now, we need to factor out 5 from right side to get the coefficient of x^2 as 1.
We get,
3 = 5(x^2-2x)
Now, coefficient of x is -2. So, we need to add half of the square of -2.
-2/2 = -1.
And square of -1 is 1.
Therefore, adding 1 inside parenthesis and 5×1 = 5 on left side, we get
3+5 = 5(x^2 -2x+1)
8 = 5(x^2 -2x+1)
Let us find the perfect square of (x^2 -2x+1).
(x^2 -2x+1) = (x-1)^2
Therefore, we get
8 = 5(x-1)^2.
So, the above highlighted are steps in the process of completing the square.
Answer:
Step-by-step explanation:
<u>The volume formula:</u>
<u>We have:</u>
- V = 2.7 million km³
- b = 339 million km²
<u>Find h:</u>
- h = V/b
- h = 2.7 / 339 = 0.00796460176 km ≈ 7.96 m
The y intercept is 5, since slope is y=mx+b. The x intercept is at -2. If you have more problems like this there is an amazing calculator that graphs equations like this for you. www.symbolab.com. Hope this helps!
Third option.
Use y = mx + b (slope-intercept form) to get
y = (1/3)x + b.
Then plug in the point (1,-2) for x and y to figure out b...
-2 = (1/3)(1) + b
-2 - 1/3 = b, so b = -7/3
Now you have y = (1/3)x - 7/3. Convert to standard form by multiplying each term by 3 to get
3y = x - 7. Then move the 3y to the other side to get 0 = x - 3y - 7