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LuckyWell [14K]
3 years ago
15

Find the distance between R(–1, 1) and S(–4, –5) to the nearest tenth.

Mathematics
1 answer:
Bond [772]3 years ago
7 0
\text{The formula of a distance between two points}\\\\A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\\\\text{We have}\ R(-1;\ 1);\ S(-4;\ -5)\\\\\text{substitute}\\\\|RS|=\sqrt{(-4-(-1))^2+(-5-1)^2}=\sqrt{(-3)^2+(-6)^2}\\\\=\sqrt{9+36}=\sqrt{45}\approx6.7\\\\\text{Answer: 6.7}
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Colin’s piano lesson is 45 minutes, or Three-fourths of an hour, long. If he practices 6 different songs and spends an equal amo
NikAS [45]

Answer:

<em>Colin spends 1/8 of an hour practicing each song</em>

Step-by-step explanation:

Colin's piano lesson is 3/4 of an hour, long.

In that period, he practices 6 different songs, spending an equal amount of time on each one.

This means that each song gets the sixth part of the lesson duration. The fraction that expresses that amount is:

\displaystyle \frac{\frac{3}{4}}{6}=\frac{3}{24}=\frac{1}{8}

Colin spends 1/8 of an hour practicing each song

5 0
4 years ago
Read 2 more answers
F(x) =x2+2x-3 g(x)=3x-14
Leviafan [203]

The solution to the composite function f(g(x)) is 9x² - 78x  + 165.

<h3>What is composite function?</h3>

A composite function is generally a function that is written inside another function.

Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.

From the given composite function, the solution is determined as follows;

to solve for f(g(x)), we use the following methods.

f(x) = x² + 2x - 3, g(x) = 3x - 14

f(g(x)) = (3x - 14)² + 2(3x - 14) - 3

         = 9x² - 84x + 196  + 6x - 28 - 3

         = 9x² - 78x  + 165

Thus, the solution to the composite function f(g(x)) is 9x² - 78x  + 165.

Learn more about composite function here: brainly.com/question/10687170

#SPJ1

The complete question is below:

F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))

8 0
1 year ago
Use logarithms to find the exact solution for 7(17^−9)−7=49.
ch4aika [34]
ANSWER: x = -0.082


EXPLANATION:

1. Apply logarithm to both sides of the
equation. If one of the terms has base 10,
use common logarithm, otherwise, use
natural logarithm

2. Use the different properties of logarithms
to solve for the variable.

17
-92 _ 7 = 49
7.17-92 = 56
17-92 = 8
10g17(8)
-92
2
log, 7(8)
-9
log(8)
log(17)
-9
I=
-0.082
2 of 3
Add both sides by 7
Divide both sides by 7
Convert to logarithm
Divide both sides by - 9
6 0
3 years ago
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