Answer:
D) 5,572
Step-by-step explanation:
4/3×pi×r^3
4/3×3.14×11^3
5572.453...
5572
Solution:
<u>We know that:</u>
- Given diagonals: LN and MP
- LN and MP must be equal because they are diagonals of LMNP.
- LN = 4x + 3
- MP = 8x - 9
<em>Since LN and MP must be equation</em>, <u>equation formed:</u> 4x + 3 = 8x - 9
<em>Let's simplify the equation to find x.</em>
<u>Subtracting 4x both sides.</u>
<u>Add 9 both sides.</u>
<u>Divide 4 both sides.</u>
<em>Now, let's find the length of each diagonal.</em>
Answer:
the values of a and b is 0 as it always gives the result zero whether divided , added or multiplied.
Step-by-step explanation:
Answer:
See below ~
Step-by-step explanation:
(a) To find y-intercept :
- y = -x² + 2x + 15
- y = -(0)² + 2(0) + 15
- y = 15
- M is : (0, 15)
(b) Finding x-intercepts :
- 0 = -x² + 2x + 15
- -x² + 5x - 3x + 15 = 0
- x(-x + 5) + 3(-x + 5) = 0
- (x + 3)(-x + 5) = 0
- x + 3 = 0 ⇒ x = -3
- -x + 5 = 0 ⇒ x = 5
- P and Q are : (-3, 0) and (5, 0)
(C) Finding vertex :
- Vertex is (h, k)
- h = -b/2a = -2/2(-1) = 1
- k = -(1)² + 2(1) + 15
- k = -1 + 2 + 15
- k = 16
- The maximum point is : (1, 16)
Answer:
The answer to your question is letter B
Step-by-step explanation:
Process
1.- Get two points of each line
Line 1 Line 2
Point A (0, 2) (5, 7)
Point B (-4, 0) (0, -4)
2.- Find the slope of each line
Formula slope = m = (y2 - y1) / (x2 - x1)
Line 1 m = (7 - 2) / (5 - 0)
m = 5/5
m = 1
Line 2 m = (-4 - 0) / (0 + 4)
m = -4/4
m = -1
3.- Find the equation of the lines
Formula y - y1 = m(x - x1)
Line 1 y - 2 = 1(x - 0)
y - 2 = x
y = x + 2
Line 2 y + 4 = -1(x - 0)
y + 4 = -x
y = -x - 4