(300g^2) / (0.0005g) = 600,000g = 6 x 10^5g
Answer:
10x⁴ - 33x² - 7
Explanation:
Before we begin, remember the following:
xᵃ * xᵇ = xᵃ⁺ᵇ
Now, for the given:
To solve the given question, we will multiply each term from the first bracket by each term from the second bracket and then combine like terms to get the final expression.
This can be done as follows:
(5x² + 1)(2x² - 7)
5x²(2x²) + 5x²(-7) + 1(2x²) + 1(-7)
10x⁴ - 35x² + 2x² - 7
10x⁴ - 33x² - 7
Hope this helps :)
Step-by-step explanation:
Given
To Prove
Take the Left side of equation and rationalize
Left side is equal to right side
Hence, proved
Answer:
Step-by-step explanation:
The equation of a circle:
(h, k) - center
r - radius
We have the center (4, -3) and the point on the circle (9, -3).
The length of radius is equal to the distance between a center and an any point on a circle.
The formula of a distance between two points:
Susbtitute:
The center (4, -3) → h = 4, k = -3.
Finally we have:
Answer:
x = 4
Step-by-step explanation:
These are vertical angles. This means that the angle measurements of both are equal to each other. Set the angles equal to each other:
3x + 20 = 2x + 24
Note that you are solving for the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 2x and 20 from both sides:
3x (-2x) + 20 (-20) = 2x (-2x) + 24 (-20)
3x - 2x = 24 - 20
Simplify. Combine like terms:
3x - 2x = 24 - 20
x = 24 - 20
x = 4
x = 4 is your answer.
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