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Ilya [14]
3 years ago
14

Given triangle XP’s is congruent to triangle dnf, find the values of x and y.

Mathematics
1 answer:
Debora [2.8K]3 years ago
7 0
ΔXPS is congruent to ΔDNF

Since they only give you two sides of ΔXPS, then you know that:
XP (4y-3)= DN (57)
XS (17x+3) = DF (54)

4y - 3 = 57
4y = 60
y = 15

17x + 3 = 54
17x = 51
x = 3

So the answers are:
x = 3
y = 15
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3. Consider the functions f(x) = x2 + 10x – 5, g(x) = 8x + 1, and h(x) = 3x – 4. List the functions from least to greatest value
weeeeeb [17]
<u>x = 3</u>
f(x) = x²+ 10x - 5
f(3) = (3)² + 10(3) - 5
f(3) = 9 + 30 - 5
f(3) = 39 - 5
f(3) = 34

g(x) = 8x + 1
g(3) = 8(3) + 1
g(3) = 25

h(x) = 3x - 4
h(3) = 3(3) - 4
h(3) = 9 - 4
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<u>x = 6
</u>f(x) = x² + 10x - 5
f(6) = (6)² + 10(6) - 5
f(6) = 36 + 60 - 5
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f(6) = 91

g(x) = 8x + 1
g(6) = 8(6) + 1
g(6) = 48 + 1
g(6) = 49

h(x) = 3x - 4
h(6) = 3(6) - 4
h(6) = 18 - 4
h(6) = 14

I would explain to someone that you don't need to do any calculations to know the order of the functions when x is equal to 15 by knowing that f(x) is equal to 370, g(x) is equal to 121, and h(x) is equal to 41 to know that it is easy finding the function of x without calculating the answer.
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Answer:

\sf 500,000,000,000=5 \times 10^{11}

\sf 0.00000000005=5 \times 10^{-11}

Step-by-step explanation:

<u>Scientific notation</u>

\large\boxed{a \times 10^n}  

where:

  • 1\leq a < 10
  • n is any positive or negative <u>whole number</u>.

To convert a number into scientific notation, <u>move</u> the decimal point to the <u>left or right</u> until there is <u>one digit</u> to the left of the decimal point.

The number of times you have moved the decimal point is n.

  • If the decimal point has moved to the <u>left</u>, n is positive.
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To convert 500,000,000,000 into scientific notation, move the decimal point <u>11 places to left</u>, so a = 5.  As we have moved the decimal point 11 places to the left, the exponent "n" is 11 and is <u>positive</u>.

\implies \sf 500,000,000,000=5 \times 10^{11}

To convert 0.00000000005 into scientific notation, move the decimal point <u>11 places to the right</u>, so a = 5.  As we have moved the decimal point 11 places to the right , the exponent "n" is 11 and is <u>negative</u>.

\implies \sf 0.00000000005=5 \times 10^{-11}

Learn more about scientific notation here:

brainly.com/question/28235385

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Answer:add me on the gram at n.preme_

Step-by-step explanation:

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