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Sunny_sXe [5.5K]
3 years ago
12

If AD = 5x + 3, TD = x + 27, what is AD?

Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0

The question is incomplete, but if we assume that you mean AD = TD , we have :

AD = TD ===》 5x + 3 = x + 27

===》 4x = 24

===》 x = 6

_________________________________

AD = 5 × ( 6 ) + 3

AD = 30 + 3

AD = 33

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Answer:

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Step-by-step explanation:

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"A cylindrical container has a radius of 25 inches and a height of 31 inches. What is the volume of
photoshop1234 [79]

Use the formula:

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Step-by-step explanation:

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Find the length of an arc formed by a 90 degree angle on a circle with a radius of 6 the hcc
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8 0
4 years ago
Y=-x^2+2x+10<br> y=x+2<br><br> Substitution <br> Please show your work<br> Need ASAP
erik [133]

Answer:

The solutions of the system of equations are the points

(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})  

(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})  

Step-by-step explanation:

we have

y=-x^{2} +2x+10 ----> equation A

y=x+2 ----> equation B

Solve the system by substitution

substitute equation B in equation A

x+2=-x^{2} +2x+10

solve for x

-x^{2} +2x+10-x-2=0

-x^{2} +x+8=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-x^{2} +x+8=0

so

a=-1\\b=1\\c=8

substitute in the formula

x=\frac{-1\pm\sqrt{1^{2}-4(-1)(8)}} {2(-1)}

x=\frac{-1\pm\sqrt{33}} {-2}

x=\frac{-1+\sqrt{33}} {-2}  -----> x=\frac{1-\sqrt{33}} {2}  

x=\frac{-1-\sqrt{33}} {-2}  -----> x=\frac{1+\sqrt{33}} {2}  

<em>Find the values of y</em>

For x=\frac{1-\sqrt{33}} {2}  

y=x+2

y=\frac{1-\sqrt{33}} {2}+2  ---->y=\frac{5-\sqrt{33}} {2}  

For x=\frac{1+\sqrt{33}} {2}  

y=x+2

y=\frac{1+\sqrt{33}} {2}+2  ---->y=\frac{5+\sqrt{33}} {2}  

therefore

The solutions of the system of equations are the points

(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})  

(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})  

5 0
3 years ago
What is the slope of the line that passes through the pairs of points (-6,8) (2'3)
Alecsey [184]
Im pretty sure the answer is D, because if i used the right formula,
\frac{y2 - y1}{x2 - x1}
you should get this in the formula
\frac{8 - 3}{2 - ( - 6)}
\frac{5}{8}
a 2 subtracting a negative 6 makes it a positive, meaning your just adding 6 plus2, to get 8
6 0
4 years ago
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