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2 years ago

Find the solution set

1 answer:

7 0

M1= -5 , m2 = 5 inorder to get this you move the constant to the right take the root of both sides separate the solutions and you should get m1= -5, m2 =5

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Solve the system of equations 2r + 2s = 50 and 2r – s = 17. A. r = 3, s = 11 B. r = 25, s = 33 C. r = 14, s = 11 D. r = –8, s =

scZoUnD [109]

$2r = 17 + s = 50 - 2s \\ 3s = 50 - 17 = 33 \\ s = 11 \\ \\2 r = 50 - 2s \\ 2r = 50 - 2 \times 11 = 50 - 22 = 28 \\ r = 14$

C. r=14, s =11

5 0

3 years ago

To prepare for a bicycling event, you warm up each day at a moderate pace then you ride hard for a number of miles. one day you

vovangra [49]

Answer:

The total distance covered is 15.6 miles.

Step-by-step explanation:

One day you warm up for 15 minutes at a pace of 0.1 miles per 25 seconds.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. If the relationship between the magnitudes is direct, like in this case, the direct rule of three can be applied as follow:

a ⇒ b

c ⇒ x

Then $x=\frac{c*b}{a}$

First, the simple rule of three can be applied in the following way: if 1 minute equals 60 seconds, 15 minutes equals how many seconds?

$seconds=\frac{15 minutes*60 seconds}{1 minute}$

seconds= 900

So now you can apply the following rule of three: if in 25 seconds you travel 0.1 miles, in 900 seconds how many miles do you travel?

$distance=\frac{900 seconds*0.1 miles }{25 seconds}$

distance= 3.6 miles

If you then ride hard for 12 miles, the total distance traveled will be the sum of both:

3.6 miles + 12 miles = 15.6 miles

<u><em>The total distance covered is 15.6 miles.</em></u>

6 0

2 years ago

Selene bought a computer screen on sale for 35% off the original price what was the price of the computer before the sale

ira [324]

Answer:

Here's a picture with the work done.

Step-by-step explanation:

8 0

2 years ago

Rewrite the system of linear equations as a matrix equation AX = B.

iren2701 [21]

Answer:

$\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]$

Step-by-step explanation:

Let's find the answer.

Because we have 3 equations and 3 variables (x1, x2, x3) a 3x3 matrix (A) can be constructed by using their respectively coefficients.

Equations:

Eq. 1 : x1 + 2x2 + 5x3 = 5

Eq. 2 : x1 + x2 + x3 = 6

E1. 3 : 4x1 + 6x2 + 5x3 = 7

Coefficients for x1 ; x2 ; x3

From eq. 1 : 1 ; 2 ; 5

From eq. 2 : 1 ; 1 ; 1

From eq. 3 : 4 ; 6 ; 5

So matrix A is:

$\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]$

And the vector of vriables (X) is:

$\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]$

Now we can find the resulting vector (B) using the 'resulting values' from each equation:

$\left[\begin{array}{ccc}5\\6\\7\end{array}\right]$

In conclusion, AX=B is:

$\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]$

7 0

3 years ago

What is the angle in a triangle that is part of a linear pair? i will give 15 points im desperate

gogolik [260]

Answer: Linear pairs of angles add up to 180 degrees. A+B=180

Step-by-step explanation: A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees

7 0

3 years ago