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alexira [117]
3 years ago
15

Find the distance between (3, −7) and (4, 1)

Mathematics
1 answer:
m_a_m_a [10]3 years ago
7 0

Answer:sqrt65

Step-by-step explanation:

Distance formula d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}

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the second angle in a triangle is five times as large as the first. The third angle is 2/3 as large as the first. What are the a
GrogVix [38]
Hello,
let x the first angle

5x the second
2/3 x the third

x+5x+2/3x=180
==>20x/3=180
==>x=27 (°)
5x=5*27=135
2/3*x=2/3*27=18

27+135+18=180

8 0
3 years ago
Let $f(x) = x^2 + 4x - 31$. for what value of $a$ is there exactly one real value of $x$ such that $f(x) = a$?
enot [183]

To solve for this, we need to find for the value of x when the 1st derivative of the equation is equal to zero (or at the extrema point).

So what we have to do first is to derive the given equation:

f (x) = x^2 + 4 x – 31

 

Taking the first derivative f’ (x):

f’ (x) = 2 x + 4

 

Setting f’ (x) = 0 and find for x:

2 x + 4 = 0

x = - 2

 

Therefore the value of a is:

a = f (-2)

a = (-2)^2 + 4 (-2) – 31

a = 4 – 8 – 31

a = - 35

7 0
3 years ago
Angle x measures 42•. Find measure of angle y.
harina [27]

Answer:

C

Step-by-step explanation:

5 0
3 years ago
What an equivalent expression for 48 + 18x
FromTheMoon [43]

Answer:

6(8+3x)

Step-by-step explanation:

48+18x

We can factor out an 6 from each term in the expression

6(8+3x)

7 0
3 years ago
Read 2 more answers
A salesperson sells $2100 in merchandise and earns a commission of $273, What is the commission rate?
larisa86 [58]

if we take 2100 to be the 100%, what is 273 off of it in percentage?

\begin{array}{ccll} amount&\%\\ \cline{1-2} 2100 & 100\\ 273& x \end{array} \implies \cfrac{2100}{273}=\cfrac{100}{x}\implies \cfrac{100}{13}=\cfrac{100}{x} \\\\\\ 100x=1300\implies x=\cfrac{1300}{100}\implies x=13

3 0
2 years ago
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