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mariarad [96]
3 years ago
11

Is (5,2) a solution to this system? x+4y=13 x-y=3 *

Mathematics
2 answers:
kompoz [17]3 years ago
8 0

Answer:

yes

Step-by-step explanation:

kirza4 [7]3 years ago
5 0

Answer:

Yes.

Step-by-step explanation:

x + 4y = 13

 x - y = 3              Subtracting:

0 + 4y - (-y) = 13 - 3

5y = 10

y = 2.

Plug y = 2 into the second equation:

x - 2 = 3

x = 5.

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Find the equation of the line passing through points (-4,2) and (1,-6)
anzhelika [568]

Answer:

y + 6 = (-8/5)(x - 1) in point-slope form

Step-by-step explanation:

Moving from the 1st point to the first, we see that x (the 'run') increases by 5 from -4 to 1, and y (the 'rise') decreases by 8.  Thus, the slope of the line through these two points is m = rise / run = -8/5

Now we have two points on the line, plus the slope.  Let's write out the point-slope formula for the equation of a straight line:

y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.

Here, using the point (1, -6), we obtain:

y + 6 = (-8/5)(x - 1) in point-slope form

8 0
3 years ago
15. Given the side measures, which of the following could form a triangle
alexdok [17]

Answer:

6,8,9

Step-by-step explanation:

6,8,9

any sum of two sides are bigger than the third side

7 0
3 years ago
Sam earned $40 on his investment of $400. He earned 5% interest on his investment. How long did Sam leave his money in the bank?
gogolik [260]

Answer:

2yrs

Step-by-step explanation:

Given parameters:

Amount of interest earned  = $40

Principal  = $400

Interest rate  = 5%

Unknown:

Time taken for the money to be in bank = ?

Solution:

   The formula for interest is given as:

         I = \frac{PRT}{100}  

    Where I is the interest

              P is the principal

               R is the rate

               T is the time

    So;

    100I  = PRT

       T  = \frac{100I }{PR}   = \frac{100 x 40}{400 x 5}  = 2yrs

8 0
3 years ago
Help me with 2, 8, and 10 plz
OverLord2011 [107]

For #2:

<span> 3x^2 + 4 – 2x^2 + 6</span>

<span><span>You need to combine your like terms:
</span> 3x^2 – 2x^2= x^2</span>

4 + 6 = 10

This will now give you:

<span>X^2 +10</span>
3 0
3 years ago
401 km 101 m – 34 km 153 m
Nikolay [14]

Given :

An expression D = 401 km 101 m – 34 km 153 m.

To Find :

Value of D.

Solution :

We know, 1 km = 1000 m.

So, 401 km 101 m =( 401000 + 101 ) m = 401101 m.

Also, 34 km 153 m = ( 34000 + 153 ) m = 34153 m.

Now, D is given by :

D = 401101 - 34153 m

D = 366948 m

Now, D = 366948 m = 366 km 948 m.

Therefore, the difference is 366 km 948 m.

Hence, this is the required solution.

4 0
4 years ago
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