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velikii [3]
4 years ago
9

Factor the expression below. x² – 49

Mathematics
2 answers:
belka [17]4 years ago
7 0

Answer:

THIS IS THE ANSWER OK XD

Igoryamba4 years ago
7 0

Answer:

x=7

Step-by-step explanation:

7 ^{2}  = 49

7 \times 7 = 49

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Is the given value a solution to the equation? 4(n) - 3 = -2(n) + 9 n=2
nlexa [21]

Answer:

Yes!

The solution to the equation is n = 2

Step-by-step explanation:

Given the equation

4\left(n\right)-3=-2\left(n\right)+9

remove the parentheses

4n-3=-2n+9

Add 3 to both sides

4n-3+3=-2n+9+3

Simplify

4n=-2n+12

Add 2n to both sides

4n+2n=-2n+12+2n

Simplify

6n=12

Divide both sides by 6

\frac{6n}{6}=\frac{12}{6}

Simplify

n=2

Therefore, the value of n = 2.

Hence,

Yes!

The solution to the equation is n = 2

5 0
3 years ago
Find the equation of the line passing through the points (-2/3,1) and (-2,1/2). Write the equation in standard form.
7nadin3 [17]
Standard form is y = mx + b.
To find the slope, m, we must find the 'rise over run,' or the difference in y divided by the difference in x. We do this by:
\frac{y1 - y2}{x1 - x2}  =  \frac{ (-  \frac{2}{3} ) - ( -2 )}{(1) - ( \frac{1}{2} ) } =  \frac{ \frac{4}{3} }{ \frac{1}{2} } \\  =  \frac{4}{3}  \times  \frac{2}{1}  =  \frac{8}{3}
Therefore, the slope is 8/3.

To find b, we must plug in the slope and one point:
(1) = ( \frac{8}{3} )( -  \frac{2}{3} ) + b \\ 1 =  -  \frac{16}{9}  + b \\  \frac{25}{9}  = b
Therefore, b is 25/9, and the total equation is
y =  \frac{8}{3} x +  \frac{25}{9}
3 0
3 years ago
A spinner with 10 equally sized slices is shown below. (3 slices are blue, 2 are yellow, and 5 are rec the probability that the
Ainat [17]

Answer:

1/2

Step-by-step explanation:

Blue + yellow = 3 + 2   = 5     out of 10 slices

     5 out of 10   = 5/10 = 1/2

5 0
2 years ago
Bank robber holds up a bank and speeds off at 71 mph. Police start chasing him 10 minutes later going 78 mph. How long will it t
alexira [117]

Answer:

It takes 1.68 hours to catch up to them.

Step-by-step explanation:

The speed of robber = 71 mph

The  speed of police =  78 mph

The police  start 10 minutes  later

by that time robber would have travelled

distance  = \frac{speed}{time}

10 minutes  =0.166667 hours

then the distance  =  11.8 mph

Let them meet at distance x from the bank.

time taken by police to reach x , time =\frac{ x}{78}----------------------(1)

time taken by robber in the same time = \frac{x-11.8}{71}---------------(2)

Equating (1) and (2)

\frac{x}{78} =\frac{ x-11.8}{71}

71 x = 78(x - 11.8)

71x =78x - 920.4

920.4 = 78x - 71x

920.4 = 7x

x = 131.48

The distance where they catch up with the robber from the bank is 131.48 miles

speed of police = 78 mph

distance =  131.48  miles

time they catch up = \frac{131.48}{78}

= 1.68 hours

5 0
3 years ago
The first part of a trip driving at 40 mph was 15 miles longer and took 30 minutes longer than the second part of the trip drivi
kenny6666 [7]

Answer:

65 miles

Step-by-step explanation:

There are two simultaneous equations . Remeber that v=d/t, 1hour = 60 minutes.

1. 40 = (d+15)/(t+0.5)

2. 50 = d/t

solving: d= 25 miles and t=0.5 hours.

The distance traveled is:

D=d+d+15

D=65 miles

5 0
3 years ago
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