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sasho [114]
3 years ago
5

5+(- 2) is __ units from 5, in the __ direction.

Mathematics
2 answers:
inessss [21]3 years ago
6 0
2 units from 5 in the negative (left) direction
nadya68 [22]3 years ago
5 0
<h2>Answer:</h2><h3>5+(-2):</h3>

2

<h3>Which way?</h3>

<h2>Step-by-step explanation:</h2><h3>5+(-2)</h3>

5+(-2)=5-2=3. 3 is 2 units away from 5.

<h3>Which way?</h3>

3<5 so the answer here is negative!

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Alik [6]
82% to decimal is 0.82
7 0
3 years ago
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As an estimation we are told £3 is €4.<br> Convert €52 to pounds.
kati45 [8]

Answer:

£69.33

Step-by-step explanation:

4/3=1.33333333333 so that 52*1.33333333333 would convert  52 euros into 52 pounds

7 0
4 years ago
34. For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.
skad [1K]

Answer:

The linear equation for the line which passes through the points given as (-1,4) and (5,2), is written in the point-slope form as $y=\frac{1}{3} x-\frac{13}{3}$.

Step-by-step explanation:

A condition is given that a line passes through the points whose coordinates are (-1,4) and (5,2).

It is asked to find the linear equation which satisfies the given condition.

Step 1 of 3

Determine the slope of the line.

The points through which the line passes are given as (-1,4) and (5,2). Next, the formula for the slope is given as,

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute 2&4 for $y_{2}$ and $y_{1}$ respectively, and $5 \&-1$ for $x_{2}$ and $x_{1}$ respectively in the above formula. Then simplify to get the slope as follows,

m=\frac{2-4}{5-(-1)}$\\ $m=\frac{-2}{6}$\\ $m=-\frac{1}{3}$

Step 2 of 3

Write the linear equation in point-slope form.

A linear equation in point slope form is given as,

$y-y_{1}=m\left(x-x_{1}\right)$

Substitute $-\frac{1}{3}$ for m,-1 for $x_{1}$, and 4 for $y_{1}$ in the above equation and simplify using the distributive property as follows,

y-4=-\frac{1}{3}(x-(-1))$\\ $y-4=-\frac{1}{3}(x+1)$\\ $y-4=-\frac{1}{3} x-\frac{1}{3}$

Step 3 of 3

Simplify the equation further.

Add 4 on each side of the equation $y-4=\frac{1}{3} x-\frac{1}{3}$, and simplify as follows,

y-4+4=\frac{1}{3} x-\frac{1}{3}+4$\\ $y=\frac{1}{3} x-\frac{1+12}{3}$\\ $y=\frac{1}{3} x-\frac{13}{3}$

This is the required linear equation.

5 0
2 years ago
A car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. which equation represents the distance that the car travels in m
Ksju [112]

Answer:

3/4 mile per minute

Step-by-step explanation:

2 5/8=21/8

3 1/2=7/2

---------------

(21/8)/(7/2)=(21/8)(2/7)=42/56=3/4

4 0
3 years ago
Find all solutions of the equation. 5 sin x − 82√ = 3 sin x − 72√
Andrei [34K]

Answer:

  • x = arcsin(√20.5 -3√2) +2kπ . . . k any integer
  • x = π - arcsin(√20.5 -3√2) +2kπ . . . k any integer

Step-by-step explanation:

Add √(82) -3sin(x) to both sides to get ...

  2sin(x) = √82 -√72

Now, divide by 2 and find the arcsine:

  sin(x) = (√82 -√72)/2

  x = arcsin((√82 -√72)/2)

Of course, the supplement of this angle is also a solution, along with all the aliases of these angles.

___

In degrees, the solutions are approximately 16.562° and 163.438° and integer multiples of 360° added to these.

6 0
4 years ago
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