Answer:
See below
Step-by-step explanation:
If the whole rectangle were shaded (all 25 parts) that would be 100%
So, we can set up a proportion.
25 = 100%
11 = x
Then, cross-multiply to get,
25x = 1100
Divide both sides by 25 to solve for x
x = 44.
The x value represents the percentage shaded.
44%
Let w be the additional watts you can add on the circuit.
1100 + w < 1800 (write the inequality)
-1100 -1100 ( - 1100 from each side)
w < 700 (simplify)
ANSWER:
You can add up to 700 watts to the circuit, which means that you can also plug in the clock radio and the blender.
LOOK BACK:
You can check that your answer is correct by adding the numbers of watts used by the microwave oven, clock radio and blender.
1100 + 50 + 300 = 1450
The circuit will not overload because the total wattage is less than 1800 watts.
Answer:
2/15
Step-by-step explanation:
1/5 + 2/3
= 3/15 + 10/15
= 13/15
15/15 - 13/15
= 2/15
All points along the circle with be the distance of the radius from the center...so the radius can be found using the Pythagorean Theorem..
r^2=(4-1)^2+(6-2)^2
r^2=9+16
r^2=25
r=5
The equation of the circle can be expressed as:
r^2=(x-h)^2+(y-k)^2 where (h,k) correspond to the center of the circle, (2,1) in this case.
(x-2)^2+(y-1)^2=25
if you wanted it in a more standard form...
(y-1)^2=25-(x-2)^2
(y-1)^2=25-x^2+4x-4
(y-1)^2=-x^2+4x+21
y-1=(-x^2+4x+21)^(1/2)
y=1(+/-)(-x^2+4x+21)^(1/2)
Answer:
y = -1/2x - 1/2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
y = -1/2x + 3/7
Point (-1, 0)
Step 2: Find parallel line
<em>Parallel lines have the same slope as the original but different y-intercepts.</em>
<em>m</em> = -1/2
y = -1/2x + b
0 = -1/2(-1) + b
0 = 1/2 + b
b = -1/2
Step 3: Write parallel line
y = -1/2x - 1/2
