Find the distance between each pair of points whose coordinates are given. Round to the nearest tenth if necessary.
1 answer:
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Hey there!
The formula for the volume of a cone is .
In this cone, we have the given information:
- Its diameter is 4 inches
- Its height is 6 inches
The information we need for this formula is the radius and height.
We already have the height, but not the radius.
Fortunately, we can easily get it by dividing the diameter by 2.
So, the radius is 2.
Let 3.14 be .
Plug in each value into the equation.
Simplify the exponent and fraction.
Multiply the three numbers together.
But wait! We have to round this to the nearest tenth.
When rounding, we look at the place value one less than the one we are rounding to. Since we are rounding to the nearest tenth, we look at the hundredths place, which is the digit 2.
Since 2 is less than 5, we round down to 25.1.
This is the volume of a cube, and it is measured in inches, so the unit we will use is .
So, your <u>final answer</u> is !
Hope this helps!
Answer:
x = - , x =
Step-by-step explanation:
Given
x² - x - = 0
Multiply through by 4 to clear the fraction
4x² - 4x - 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 4 × - 3 = - 12 and sum = - 4
The factors are + 2 and - 6
Use these factors to split the x- term
4x² + 2x - 6x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(2x + 1) - 3(2x + 1) = 0 ← factor out (2x + 1) from each term
(2x + 1)(2x - 3) = 0
Equate each factor to zero and solve for x
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = -
2x - 3 = 0 ⇒ 2x = 3 ⇒ x =
