Answer: D) (x + 3)² + (y + 5)² = 16
<u>Step-by-step explanation:</u>
The equation of a circle is: (x - h)² + (y - k)² = r²
where (h, k) = center and r = radius
Given: (h, k) = (-3, -5) r = 4
Equation: (x - (-3))² + (y - (-5))² = 4²
(x + 3)² + (y + 5)² = 16
Answer:
What number is represented by point B = -1
Which point represents the number 2? = C
Answer:
QR = 1
Step-by-step explanation:
PR = PQ + QR
PR = x + 19
PQ = 9
So now put what you know in the equation above.
PR = 9 + 2x + 19
PR also equals x + 19
so
x + 19 = 9 + 2x + 19
x + 19 = 2x + 28
19 - 28 + x = 2x
-9 + x = 2x
-9 = 2x - x
-9 = x
===================
QR = 2x + 19
QR = 2*-9 + 19
QR = -18 + 19
QR = 1
This really is kind of a nasty question. You don't expect to get a minus number of x.
Answer:
1/2
Step-by-step explanation:
Q1. The answers are (–1, 8), (0, 7), (3, 18)
<span>–3x + y ≥ 7
</span>Let's go through all choices:
<span>(–2, –3)
</span>(-3) * (-2) + (-3) ≥ 7
6 - 3 ≥ 7
3 ≥ 7 INCORRECT
(–1, 8)
(-3) * (-1) + 8 ≥ 7
3 + 8 ≥ 7
11 ≥ 7 CORRECT
(0, 7)
(-3) * 0 + 7 ≥ 7
0 + 7 ≥ 7
7 ≥ 7 CORRECT
(1, 9)
(-3) * 1 + 9 ≥ 7
-3 + 9 ≥ 7
6 ≥ 7 INCORRECT
(3, 18)
(-3) * 3 + 18 ≥ 7
-9 + 18 ≥ 7
9 ≥ 7 CORRECT
Q2. The answers are:
5x + 12y ≤ 80
x ≥ 4
<span>y ≥ 0
</span>
<span>x - small boxes
</span><span>y - large boxes
</span>He has x small boxes that weigh 5 lb each and y large boxes that weigh 12 lb each <span>on a shelf that holds up to 80 lb:
5x + 12y </span>≤ 80
Jude needs at least 4 small boxes on the shelf: x ≥ 4
Let's check if y can be 0:
5x + 12y ≤ 80
5x + 12 * 0 ≤ 80
5x + 0 ≤ 80
5x ≤ 80
x ≤ 80 / 5
x ≤ 16
x ≥ 4 can include x ≤ 16
So, y can be 0: y ≥ 0
