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kondaur [170]
4 years ago
6

A (-7,1) B (7,1) C (-7,-1) D (7,-1)

Mathematics
1 answer:
Zepler [3.9K]4 years ago
3 0
So... what’s the question it only shows answers huh
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Find the equation of a straight line that has a perpendicular bisector of AB.
Natalija [7]

Answer:

Step-by-step explanation:

slope of line through A ,B is

m=(-2-6)/(5-2)=-8/3

slope of line perpendicular to AB Is  3/8

mid-point of AB =((2+5)/2,(6-2)/2)=(7/2,2)

eq. of reqd line is

y-2=3/8(x-7/2)

8y-16=3x-21/2

16y-32=6x-21

16y-6x=-21+32

16y-6x=11

4 0
3 years ago
write a comparison problem you can solve using addition or subtraction. draw a bar model to represent the situation. describe ho
malfutka [58]
It is related because you just draw the model and then add or subtract and your finashed
3 0
3 years ago
If 4/7 of a ton of concrete covers 7/8 of a bridge, how many tons of concrete are required to cover the entire bridge
Studentka2010 [4]

Answer

32/49

Step-by-step explanation:

4/7 tons = 7/8 x

4/7 / 7/8

32/49

7 0
4 years ago
A marshy region used for agricultural drainage has become contaminated with a particular element. It has been determined that fl
kipiarov [429]

Answer:

8.49%

Step-by-step explanation:

x months

f(x) =\frac{x^2+64}{2x} 1 ≤ x ≤ 12

minimum: f'(x) = 0

f'(x) = (\frac{x^{2} +64}{2x})' = \frac{(x^{2} +64)'.2x - (x^{2} +64).(2x)'}{(2x)^2}= \frac{2x.2x-(x^{2}+64).2}{4x^{2} }  = \frac{4x^2 - 2x^2-64}{4x^2}=\frac{2x^2-64}{4x^2}

\frac{x^2-32}{2x^2} = 0 \\x^{2} -32 = 0\\x^{2} =32\\x = \sqrt{32}\\ x = 4\sqrt{2}

f(4\sqrt{2} ) = \frac{(4\sqrt{2})^2 +64}{2.4\sqrt{2} } = \frac{32+64}{8\sqrt{2} } = \frac{96}{8\sqrt{2} }=\frac{12}{\sqrt{2} }  = 6\sqrt{2} ≅8.49%

5 0
3 years ago
It takes 1 1/2 cups of flour, 1 1/4 cups of sugar, and 1/2 cup of butter to bake fifteen shortbread cookies. If Ramon has 5 cups
Stolb23 [73]
Short answer 48 cookies
Remark

This is an extremely valuable question if you are going to take chemistry at some point. You have to calculate all three to see what the limiting ingredient is.

Flour
Assuming that all of the flour will be used, you set up a proportion to find out how many cookies will be produced.

1.5 cups of flour / 15 cookies = 5 cups of flour / x     Cross multiply
1.5 x  = 15 * 5
1.5 x = 75                       Divide by 1.5
x = 75/1.5
x = 50                             cookies are possible

Sugar
Now you must do the same thing with the sugar
1.25 pounds sugar/15 cookies = 4 / x      Cross multiply
1.25 x = 4 * 15
1.25 x = 60                         Divide both sides by 1.25
x = 60/1.25                     
x = 48               cookies possible with 4 pounds of sugar.

Butter
0.5 pounds of butter/15 cookies = 1.75 pounds of butter /x   Cross Multiply
0.5 * x = 15 * 1.75
0.5 * x = 26.25       Divide by 0.5
x = 26.25 / 0.5
x = 52.5                  Cookies.

Conclusion
The limiting ingredient is the sugar. You can only make 48 cookies with that amount of sugar. 

So you will have left over flower. You will have left over butter (even if you round down). But you will use all your sugar. It is the least amount.
7 0
3 years ago
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