Answer:
Rotation of 180 degrees, either direction
Dilation, making it smaller by some factor(we aren't given measurements so we cannot be exact)
Then move the figure to the right and then move the figure up
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
It appears you have vertical angles. The rule with angles is that no matter what, vertical angles are always congruent (or the same). This means you would have to set up the equation to solve for "b" as:
70 - 2b = 28 + 5b
You could solve this manually, but Desmos graphing calculator is faster. Simply type this in and replace b with x and it will give you the answer, which is 6. Hope this helps!
<em>To convert decimal number 1</em><em>2</em><em>3</em><em> to quinary, follow these steps:</em>
<em>1</em><em>.</em><em> </em><em>Divide 1</em><em>2</em><em>3</em><em> </em><em>by 5 keeping notice of the quotient and the remainder.</em>
<em>2</em><em>.</em><em>Continue dividing the quotient by 5 until you get a quotient of zero.</em>
<em>3</em><em>.</em><em> </em><em>Then just write out the remainders in the reverse order to get quinary equivalent of decimal number 1</em><em>2</em><em>3</em><em>.</em>
Answer:
3
Step-by-step explanation:
The value of "a" is the coefficient of x^2, so we know that is 2.
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<u>Solve for h</u>
Now, we have ...
2x^2 -8x +7 = 2(x -h)^2 +k
Expanding the right side gives us ...
= 2(x^2 -2hx +h^2) +k
= 2x^2 -4hx +2h^2 +k
Comparing x-terms, we see ...
-4hx = -8x
h = (-8x)/(-4x) = 2
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<u>Solve for k</u>
Now, we're left with ...
2h^2 +k = 7 = 2(2^2) +k = 8 +k
Subtracting 8 we find k to be ...
k = 7 -8 = -1
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And the sum of constants a, h, and k is ...
a +h +k = 2 +2 -1 = 3
The sum of the constants is 3.
Answer:
The better but is 3 for $3.33
12 for $13.32
Step-by-step explanation:
3.33/3 = 1.11
2.68/2 = 1.34
The better buy is 3 for $3.33
1.11 x 12 = 13.32
1.34 x 12 = 16.08
