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MrRissso [65]
3 years ago
7

Solve the following equation for D. Be sure to take into account whether a letter is capitalized or not. fD - 7 = q^2

Mathematics
1 answer:
Alecsey [184]3 years ago
5 0

Answer:

\displaystyle D=\frac{q^2+7}{f}

Step-by-step explanation:

<u>Equation Solving</u>

We are given the equation:

fD - 7 = q^2

It's required to solve the equation for D. All letters must preserve their capitalization.

We must isolate the letter D by removing from the left side all the terms and coefficients that surround it.

Adding 7:

fD = q^2+7

Dividing by f:

\mathbf{\displaystyle D=\frac{q^2+7}{f}}

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The sum of all three numbers is 12. The sum of twice the first number, 4 times the second number, and 5 times the third number i
grigory [225]

Answer:

The numbers are 7, 4 and 1

Step-by-step explanation:

Let the numbers =x, y, z.

The sum of all three numbers is 12, x+y+z=12--------i

The sum of twice the first number, 4 times the second number, and 5 times the third number is 35, 2x+4y+5z=35-------ii

The difference between 8 times the first number and the second number is 52, 8x-y=52---------iii

Now, from (i),z =1-x-y--------iv

substitute (iv) in (ii),

2x+4y+5(12-x-y)=35

2x+4y+60-5x-5y=35

collect like terms

-3x-y=-25

that is, 3x-y=25--------v

solving (iii) and (v) simultaneously (add iii and v), we have

11x=77

divide both sides by 11 to obtain x=7

Put x=7 in (v)

3(7)+y=25

21+y=25

implies y=25-21=4

put x=7 and y=4 in (iv)

z=12-7-4=1

Hence, the numbers are 7, 4 and 1.

5 0
3 years ago
Form a polynomial f(x) with real coefficients having the given degree and zeros.
neonofarm [45]

Answer:

3

Step-by-step explanation:no

8 0
3 years ago
Need answers ASAP
andrew-mc [135]
Data:
r (radius) = 14 m
h (height) = 6 m
v (volume) = ?

Formula:
V =  \pi *r^2*h

Solving:
V = \pi *r^2*h
V =  \pi *14^2*6
V =  \pi *196*6
\boxed{\boxed{V = 1176 \pi\:m^3}}\end{array}}\qquad\quad\checkmark
4 0
3 years ago
Write a linear equation in standard form for the line that goes through (-14,-5) and (4,3)
olganol [36]

Answer:

I would say that the answer is A. -4x + 9y = 11

Hope it helps, sry if it's wrong. It shouldn't be though.

8 0
3 years ago
HELP ASAP PLEASE THX..........................??????
otez555 [7]
Positive product:
(-2/5)(-2/5)
(2/5)(2/5)

negative product:
(-2/5)(2/5)
(2/5)(-2/5)

6 0
3 years ago
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