Answer:
Step-by-step explanation:
let the integers be x and y
x+y=-20
y=-20-x
xy=99
x(-20-x)=99
-20x-x²=99
x²+20x+99=0
x²+11x+9x+99=0
x(x+11)+9(x+11)=0
(x+11)(x+9)=0
x=-11,-9
when x=-11
-11+y=-20
y=-20=11=-9
when x=-9
-9+y=-20
y=-20+9=-11
so integers are -11,-9
Answer:
The length of the diagonal of a poster board is
Step-by-step explanation:
Let
x----> the length of the diagonal of a poster board
we know that
Applying the Pythagoras Theorem
Hello!
The volume of a cylinder is found by using the formula: V = πr²h.
The problem has given us the height of the cylinder, which is 14.7 centimeters, and the diameter which is 10.5 centimeters. The volume of a cylinder requires the radius, so therefore, to find the radius, divide the diameter by half, and that will give the radius.
R = 10.5 / 2
R = 5.25 centimeters
With that radius and the height, we can find the volume of the cylinder.
V = π(5.25)²(14.7)
V = 27.5625(14.7)π
V = 405.17π, 1272.23 (multiplied by 3.14), 1272.88 (multiplied by π)
Therefore, the volume of this cylinder is 1272.88 centimeters³.
Answer:
y-coordinate is 5 or -1.
Step-by-step explanation:
Point A is at (x, 2) and B is at (x+6, 2). Since AB must lie on the line y=2 and be 6 units long. Point C is on the line x = -3 . So let C be at (-3, y).
Since ΔABC is a right angle, then point C must have the same x-coordinate as point A. Therefore, A(-3, 2) and B(2, 2).
The area of ΔABC is 6. So,
9 = 1/2 (b)(h)
where b is the base and h is the height.
so b = 6 and h = AC
Solving this for C gives
9 = 1/2 (6)(AC)
18/6 = AC
3 = AC
9 = 1/2 (6)(AC)
18/6 = AC
3 = AC
Point C must lie 3 units above point A or 3 units below the point A. If it lies 3 units above, then it has a y-coordinate of 2 + 3 = 5.
If it lies 3 units below, it has a y-coordinate 2 - 3 = -1.
Therefore, y-coordinate is 5 or -1.
Step-by-step explanation:
7.3 is your answer my guy