Answer: 864 square inches (choice A)
Work Shown:
area = length*width
area = 36*24
area = 864
The x-intercept is -6
Step-by-step explanation:
In order to find the x-intercept, we put y = 0 and to find the y-intercept we put x = 0
In the given method, x is put equal to zero instead of y as x-intercept had to be found.
Given equation is:
Dividing both sides by -2
The x-intercept is -6
Keywords: Coordinate geometry, Intercepts
Learn more about intercepts at:
#LearnwithBrainly
Answer:
ans is (D)500/3 π unit^3
Explanation :
Formula for volume of sphere is 4/3 π r^3 .
The perpendicular equation would include a slope that is the opposite reciprocal of the original slope.
Steps:
1. Get x to the other side in the original equation. This making the slope -4 or -4/1.
2. Turn the slope into it’s opposite reciprocal m = 1/4.
3. If you use point-slope form, y - y1 = m( x - x1 ), you can substitute y1 and x1 with the numbers in the point given. But since we previously found the opposite reciprocal, we will replace “m” as well. *By the way, the subtraction of a negative makes a positive. [y + 3 = 1/4( x + 4 )]
4. Solve:
A: Distribute (y + 3 = 1/4x + 1)
B: Subtract 3 from both sides (y = 1/4x -2)
Perpendicular Equation: y = 1/4x - 2
Let length, width, and height be s.
Then diagonal of any face would be √( s² + s² ) = √( 2s² )
And we know that it measures √( 500 ) so that's sufficient for us to figure out the length of an edge of the cube. We do not need to worry about the diagonal of the cube.
Now we have to solve √( 500 ) = √( 2s² )
Square both sides:
500 = 2s²
Divide both sides by 2:
250 = s²
Take the square root of both sides:
√(250) = s ≈ 15.8113883
Rounding to nearest tenth:
s ≈ 15.8
Final answer: 15.8
Hope this helps.
