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VashaNatasha [74]
4 years ago
6

Solve and check the answers in the original equation

Mathematics
1 answer:
Scrat [10]4 years ago
3 0
 12 + 5k + 15                     -24
------------------- =  -----------------------
      k + 3                      k - 4
 5k + 27              -24
------------ =  ---------------
  k + 3                k - 4

 (k - 4)(5k + 27) = -24 (k + 3)
5k^2 - 20k + 27k -108 = - 24k - 72
5k^2 + 31k - 36 = 0
(5k + 36)(k - 1) = 0

5k + 36 = 0; k = -36/5 = -7.2
k - 1 = 0; k = 1

solutions
k = 1 and k = -7.2

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The key features of the above given functions are correctly matched to their corresponding definition.

<h3>Definition of terms</h3>

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2 years ago
Pls help me on this question :-
Nastasia [14]

Answer:

We conclude that the rule for the table in terms of x and y is:

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Step-by-step explanation:

The table indicates that there is constant change in the x and y values, meaning the table represents the linear function the graph of which would be a straight line.

We know the slope-intercept form of the line equation

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Taking two points

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Finding the slope between (-2, -4) and (-1, -1)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-2,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-1\right)

m=\frac{-1-\left(-4\right)}{-1-\left(-2\right)}

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We know that the y-intercept can be determined by setting x = 0 and finding the corresponding y-value.

Taking another point (0, 2) from the table.

It means at x = 0, y = 2.

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y = 3x+2

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7 0
3 years ago
If c=25 and B=75 degrees, find a. Round to the nearest tenth.
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Answer:

a=6.9

Step-by-step explanation:

Since you know that C is a right angle, you can use the Law of Sines to find a. The first step is to find the size of the angle A, which is 180-74-90=16. Now, you set up a ratio that involves 3 knowns and one unknown to get \frac{\sin(90^\circ)}{25} = \frac{\sin(16^\circ)}{a}, which after cross multiplying yields a=\sin(16^\circ)\cdot25\approx 6.9. PM me if you have any questions?

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On a Venn diagram, a value that represents what two circles have in common is written outside of both circles. True or false
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3 years ago
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1/2 (b - 10) + 2b = 25
Serggg [28]

Answer:

the answer is 12

Step-by-step explanation:

Simplify both sides of the equation.

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52b+−5=25

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52b−5+5=25+5

52b=30

multiply both sides by 2/5.

(25)*(52b)=(25)*(30)

b=12

4 0
3 years ago
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