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Nat2105 [25]
3 years ago
5

What is the value of m

Mathematics
1 answer:
zhuklara [117]3 years ago
8 0

Answer:

x=16\frac{2}{3}

Step-by-step explanation:

Since the rectangles are similar, that means that corresponding sides are proportional. Therefore, the ratio of similitude is 5/3 (GH and CD are corresponding sides and the ratio between their lengths is 5/3). If the ratio of similitude is 5/3 and two corresponding sides are m and 10, then we can make an equation:

\frac{m}{10}=\frac{5}{3}

Cross-multiply to get:

3m=50

Thus, m = \frac{50}{3} which is 16\frac{2}{3} .

Hope this helps :)

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Answer:

the constant of 6y+3 is 6y+3

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HELP PLEASE <br><br> FIND THE VALUE OF THE FOLLOWING EXPRESSION
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4 years ago
F(x) = x² + 5x-1 is shifted 3 units right. The result is g(x). What is g(x)?
CaHeK987 [17]

Answer:

D

Step-by-step explanation:

When a function is being shifted to the left, all x values will be added by y units shifted. (The constant that comes with x is excluded, eg. 3x shifted by 2 units left, becomes 3(x+2) and not 3x+2.)

Likewise, when a function is being shifted to the right, all x values will be subtracted by y units shifted. (Constant rules applies as well.)

Given f(x) is shifted 3 units right,

the new function, g(x) becomes:

g(x) = {(x - 3)}^{2}  + 5(x - 3) - 1

Therefore the answer is D in this case.

3 0
2 years ago
Solve the system by substitution. 4x=8y 2x+5y=27
MAVERICK [17]

Answer:

(6, 3)

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS

<u>Alg I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define systems</u>

4x = 8y

2x + 5y = 27

<u>Step 2: Rewrite systems</u>

x = 2y

2x + 5y = 27

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Substitute:                         2(2y) + 5y = 27
  2. Multiply:                             4y + 5y = 27
  3. Combine like terms:          9y = 27
  4. Isolate <em>y</em>:                            y = 3

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Plug in y into an original equation to find x.</em>

  1. Substitute:               4x = 8(3)
  2. Multiply:                   4x = 24
  3. Isolate <em>x</em>:                  x = 6
3 0
3 years ago
Read 2 more answers
if the area of a circle is represented by A=21π, what is the radius of the circle? round your answer to the nearest tenth
Reptile [31]
The equation is actually
circle area = PI * radius^2
radius = square root (area / PI)


5 0
4 years ago
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