If two planes are perpendicular, they intersect. if two planes are parallel, they will never touch. hope this helps
Answer:D
Step-by-step explanation:
Answer:
278 cheeseburgers and 350 hamburgers sold on Thursday
Step-by-step explanation:
To confirm that these combined equal 628 we can add them together using the equation 278 + 350. Once confirm that these both equal 628 when combined, we can find the difference between the 350 hamburgers and 278 cheeseburgers by subtracting one from the other using the equation, 350 - 278. When you do that, you will get a difference of 72 which means that there were 72 fewer cheeseburgers sold than hamburgers.
(sorry if this is confusing, I'm not good at explaining things)
Answer:
Area is 582 feet squared
Step-by-step explanation:
So, it suggests you break the shape apart, which is exactly what we can do to solve this problem.
We know that the longest side is 38ft, but to find the remaining length of the top, we will subtract 21 from 38.
So: 38ft - 21ft = 17ft
Now we can break the shape. The square will be 21 by 18 ft, and the remaining rectangle shape will be 12 by 17ft.
For the area, we'll start with the square. The formula for area is length times width: A=LW
For the square, we have the length, 21, and the width 18ft. All we have to do is multiply them:
21 * 18 = 378ft. squared
Now we can move on the rectangle, which has a length of 17ft, and width of 12ft.
12 * 17 = 204ft. squared
Last step! We add our areas together to get the entire shape's area. So..
378ft. + 204ft. = 582ft. squared
Good luck :P
Answer:
Step-by-step explanation:
Hypotenuse² =base² + altitude²
(3x + 4)² = (2x + 1)² + (3x)²
{Use (a+b)² = a² + 2ab + b²}
(3x)² + 2*3x+4 + 4² = (2x)² + 2*2x*1 + 1² + 9x²
9x² + 24x + 16 = 4x² + 4x + 1 + 9x²
9x² + 24x + 16 = 13x² + 4x + 1
0 = 13x² + 4x + 1 - 9x² - 24x - 16
13x² - 9x² + 4x - 24x +1 - 16 = 0
4x² - 20x - 15 = 0
a = 4 ; b =-20 ; c = -15
D = b² - 4ac = (-20)² - 4*4*(-15) = 400 + 240 = 640
√D = √640 = 25.30
x = 5 .66 ; x = -0.66
Ignore x = -0.66 as length of a side cannot be negative
Answer : x = 5.66
