Answer: 14
<u>Step-by-step explanation:</u>
Step 1: Graph both equations to find the vertices (see attached):
- The graph shows vertices at: (0, 0), (3, 0), (0, 5) and (2, 3)
Step 2: Input the coordinates of the vertices into the given function (c = 4x + 2y):
- (0, 0): 4(0) + 2(0) = 0
- (3, 0): 4(3) + 2(0) = 12
- (0, 5): 4(0) + 2(5) = 10
- (2, 3): 4(2) + 2(3) = 14
Step 3: Evaluate the value from Step 2 to find the maximum (largest).
- the largest value between {0, 12, 10, 14} is 14
Answer:
63.1 pounds
Step-by-step explanation:
1. Change the percentage into a decimal.
12.5% ↔ .125
2. multiply the percentage as a decimal with 72.
72x.125= 9 (this is the same as what is 12.5% of 72)
3. Subtract the number you just got from 72
72-9= 63
Answer:
y=-1/2x+7/2
Step-by-step explanation:
two lines are perpendicular if the product of the slopes is equal to -1
the slope for y=2x+4 is 2
2*x=-1
x=-1/2
the formula for the slope is
(y2-y1)/(x2-x1)=m
we know y1 and x1
(y+5)/(x+3)=-1/2
y+5=x+3/2
2y+10=x+3
2y=x-7
y=-1/2x+7/2
The ideal radius Alan must control is
cm.
<h3>Define perimeter of circle.</h3>
The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The area of a circle determines the space it takes up. A circle's diameter is equal to the length of a straight line traced through its center. Usually, it is stated in terms of units like cm or m.
Given data -
Perimeter of circular plate = 10
cm
We know that perimeter of a circle is 2
r
Therefore 10
= 2
r
r = 5 cm
The given error Alan can make is +-1 cm.
Minimum radius is given by
2
r = 10
- 1
r = 
r = 5 - 
Maximum radius is given by
2
r = 10
+ 1
r = 
r = 5 + 
The ideal radius Alan must control is
cm.
To know more about perimeter of circle, visit:
brainly.com/question/2718232
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<span>Isaiah puts a 10 gram weight on a pan balance. To balance the scale, he needs to put 10 pieces of 1 gram weights which will be equivalent to 10 grams of weight. Hope this answers the question. Have a nice day.</span>