Answer:
(6, -17)
Step-by-step explanation:
Given the coordinate of a midpoint, (5, -12), and one endpoint, (4, -7), the other endpoint can be determined as follows:
The midpoint formula is given as 
.
Since we are given ordered pairs of the midpoint and one endpoint, we would find the other ordered pair of the endpoint as shown below.
Let the other endpoint be 
Midpoint = M(5, -12)
Let the given endpoint = 
Thus:
Rewrite the equation to find the coordinates of the other endpoints
and 
Solve for each:
Ordered pair of the other endpoint is (6, -17)
Answer:
1308.02cm^2
Step-by-step explanation:
Finding Radius = D/2
40.82/2 = 20.41 centimetres
Finding Area of a circle
E = πr^2
= 3.14 x 20.41^2
= 416.57 π
= π x 416.5681 = 1308.02cm^2
<em>Answer:</em>
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<em>Step-by-step explanation:</em>
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<em>Distribute the Negative Sign:</em>
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<em>Combine Like Terms:</em>
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<em>Hope this helped you!</em>
It’s and equation stating the fact that the answer is 21
Answer:
4.12 kg
Step-by-step explanation:
Regular cakes:
1 dozen normal sponge cakes: 264 g plain flour
Vegetarian cakes:
1 dozen cakes: 264 g plain flour
4 eggs are replaced by 4 * 30 g of flour = 120 g flour
total flour for 1 dozen vegetarian cakes = 264 g + 120 g = 384 g
Proportion for regular cakes:
12 cakes to 264 g flour = 100 cakes to x grams flour
12/264 = 100/x
12x = 26400
x = 2200
2200 g flour for 100 regular cakes
Proportion for vegetarian cakes:
12 cakes to 384 g flour = 60 cakes to y grams flour
12/384 = 60/y
12y = 384 * 60
12y = 23040
y = 1920
1920 g flour for 60 vegetarian cakes
Total flour needed:
2200 g + 1920 g = 4120 g
4120 g * 1 kg/(1000 g) = 4.12 kg
Answer: 4.12 kg
