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2 years ago

11

The sum of two numbers is ten. Using x to represent the smaller number, translate "the difference between twice the larger numbe

r and negative twenty" into a variable expression and simplify

1 answer:

Agata [3.3K]2 years ago

8 0

The larger number is 10 - x.
2(10 - x) - (-20)
20 - 2x + 20
40 - 2x

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2 years ago

Use the initial term and the recursive formula to find an explicit formula for the sequence an. Write your answer in simplest fo

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2 years ago

Determine the length and midpoint of the segment whose endpoints are (–15, 9) and (–4, 11).

ch4aika [34]

$(-15,9) \\
x_1=-15 \\
y_1=9 \\ \\
(-4,11) \\
x_2=-4 \\
y_2=11 \\ \\
\hbox{the length:} \\
l=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(-4+15)^2+(11-9)^2}=\\
=\sqrt{11^2+2^2}=\sqrt{121+4}=\sqrt{125}=\sqrt{25 \times 5}=5\sqrt{5} \\ \\
\hbox{the midpoint:} (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}) \\
\frac{x_1+x_2}{2}=\frac{-15-4}{2}=\frac{-19}{2}=-9.5 \\
\frac{y_1+y_2}{2}=\frac{9+11}{2}=\frac{20}{2}=10 \\
(-9.5,10)$

The length of the segment is 5√5, the midpoint of the segment is (-9.5,10).

6 0

2 years ago

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