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melisa1 [442]
2 years ago
8

Solve for the variable 2x=14​

Mathematics
1 answer:
laiz [17]2 years ago
4 0

Answer:

x=7

Step-by-step explanation:

2x=14

divide both sides by 2

x=7

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Find the equation of the line through point (5,1) and perpendicular to 5x−y=−3. Use a forward slash (i.e. "/") for fractions (e.
IRINA_888 [86]
Y = -1/5x + 2

A line perpendicular to another line has an opposite reciprocal slope. What opposite means is that you flip the sign (from - to + or from + to -) and reciprocal means that you flip the numerator and denominator (so if line A is perpendicular to line B and line As slope is -3, line Bs slope would be 1/3).

First find the slope of 5x - y = -3
Add y to both sides
5x = y - 3
Add 3 to both sides
y = 5x + 3

So the slope of the line is 5. That means the slope of of the perpendicular line is -1/5.

Plug the slope of the perpendicular line and the point (5, 1) into point slope form to solve the equation

y - y1 = m(x - x1)
y - 1 = -1/5(x - 5)
y - 1 = -1/5x + 1
y = -1/5x + 2
3 0
2 years ago
The value of a in the equation ax + y = 5 , if x = 2 and y = 3 is a) – 1 b) 0 c) 1
sasho [114]

Answer:

c) 1

Step-by-step explanation:

=> ax+y = 5

<u><em>Putting x =2, y =3</em></u>

=> a(2)+3 = 5

=> 2a = 5-3

=> 2a = 2

<em>Dividing both sides by 2</em>

=> a = 1

3 0
3 years ago
Read 2 more answers
Three ratios that are Equivalent to 11:1
marin [14]

Answer:

1-22:2

2-33:3

3-44:4

Step-by-step explanation:

11+11=22

22+11=33

33+11=44

1+1=2

2+1=3

3+1=4

so, 22:2

33:3

44:4

6 0
3 years ago
A man can drive a motorboat 70 miles down the Colorado River in the same amount of time that he can drive 40 miles upstream. Fin
pochemuha

The speed of the current is 40.34 mph approximately.

<u>SOLUTION: </u>

Given, a man can drive a motorboat 70 miles down the Colorado River in the same amount of time that he can drive 40 miles upstream.  

We have to find the speed of the current if the speed of the boat is 11 mph in still water. Now, let the speed of river be a mph.  Then, speed of boat in upstream will be a-11 mph and speed in downstream will be a+11 mph.

And, we know that, \text{ distance } =\text{ speed }\times \text{ time }

\begin{array}{l}{\text { So, for upstream } \rightarrow 40=(a-11) \times \text { time taken } \rightarrow \text { time taken }=\frac{40}{a-11}} \\\\ {\text { And for downstream } \rightarrow 70=(a+11) \times \text { time taken } \rightarrow \text { time taken }=\frac{70}{a+11}}\end{array}

We are given that, time taken for both are same. So \frac{40}{a-11}=\frac{70}{a+11}

\begin{array}{l}{\rightarrow 40(a+11)=70(a-11)} \\\\ {\rightarrow 40 a+440=70 a-770} \\\\ {\rightarrow 70 a-40 a=770+440} \\\\ {\rightarrow 30 a=1210} \\\\ {\rightarrow a=40.33}\end{array}

8 0
3 years ago
SHOW WORK A car travels 174 miles in 3 hours. At this rate, how many miles will the car travel in 12 hour?
polet [3.4K]

Answer:

522 miles

Step-by-step explanation:

174 x 4 = 522

5 0
3 years ago
Read 2 more answers
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