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Finger [1]
4 years ago
15

You originally draw a design for an art contest on a 2 inch by 5 inch card. The second phrase of the contest requires the drawin

g to be transferred to an 8.5 inch by 11 inch standard sheet of paper and utilize as much of the space on the paper as possible. You determine the largest size one of the dimensions of your drawing can be is 10.5 inches. What is the length of the other dimension if two drawings are similar? Type your exact answer in the blank without the units and round to the nearest tenth.
Mathematics
1 answer:
Bingel [31]4 years ago
4 0
4.2.
If the 2 inch side was scaled to 10.5 inches the 5 inch side would be scaled by 10.5/2 = 5.25, so would be 25.125 inches which is too big.

So the 10.5 inches is the 5 inch side on the original, and so it 10.5/5 = 2.1 times bigger.

Therefore the smaller side would be 2*2.1/= 4.2 inches.
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Step-by-step explanation:

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Answer: 314

Take each number place and subtract them from each other.
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Please help me I need to submit this asap
frez [133]

Answer:

D

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here { a, b ] = [ - 1, 2 ], thus

f(b) = 4 ← from (2, 4 )

f(a) = \frac{1}{2} ← from (- 1, \frac{1}{2} ) , thus

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8 0
3 years ago
What is an equation of a circle with center (2, -1) that passes through the point (3, 4)?
Svet_ta [14]

Answer:

<em>(x - 2)^2 + (y + 1)^2 =  26</em>

Step-by-step explanation:

A circle with center O(2, -1) that passes through the point A(3, 4).

=> The radius of this circle is OA which could be calculated by:

OA = sqrt[(3 - 2)^2 + (4 - (-1))^2] = sqrt[1^2 + 5^2] = sqrt[26]

The equation of a circle with center O(a, b) and radius r could be written as:

(x - a)^2 + (y - b)^2 = r^2

=> The equation of circle O above with center O(2, -1) and radius = sqrt(26) is shown as:

    (x - 2)^2 + (y - (-1))^2 = (sqrt(26))^2

<=>(x - 2)^2 + (y + 1)^2 = 26

Hope this helps!

4 0
3 years ago
Read 2 more answers
Write a pair of equivalent expressions using distributive property
bulgar [2K]
The distributive property "distributes" a number through all numbers/terms in a set of parentheses by multiplication.


EXAMPLES
Equivalent expressions are the first and last steps. The middle step just shows the work.

5(2 + 3x)= (5*2) + (5*3x)= 7 + 15x

4(2x + 4y)= (4*2x) + (4*4y)= 8x + 16y

10(4x + 5)= (10*4x) + (10*5)= 40x + 50


ANSWER:
Only one pair below is needed for your answer.

5(2 + 3x)= 7 + 15x

4(2x + 4y)= 8x + 16y

10(4x + 5)= 40x + 50


Hope this helps! :)

7 0
3 years ago
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