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2 years ago

Which equation is true?

Mathematics

1 answer:

amid [387]2 years ago

5 0

Answer:

$(3x-5)(3x+5)$

Step-by-step explanation:

Difference of squares states that:

$a^2-b^2=(a-b)(a+b)$

In this case...

$a^2=9x^2\\\sqrt{a^2}=\sqrt{9x^2}\ (take\ the\ square\ root\ of\ both\ sides)\\a=3x$

$b^2=25\\\sqrt{b^2}=\sqrt{25}\ (take\ the\ square\ root\ of\ both\ sides)\\b=5$

This means that...

$9x^2-25=(3x-5)(3x+5)$

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Find an equation of the line passing through the given points. Use function notation to write the equation. (3,8) and (4,13

Olegator [25]

Answer:

$f(x)=5x-7$

Step-by-step explanation:

The given line passes through the points;

$(x_1,y_1)=(3,8)$

and

$(x_2,y_2)=(4,13)$

Let us find the slope using;

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{13-8}{4-3}$

$m=\frac{5}{1}=5$

The equation is given by;

$y-y_1=m(x-x_1)$

We substitute the values into the formula to obtain;

$y-8=5(x-3)$

$y=5x-15+8$

$y=5x-7$

There the equation of the line is

$f(x)=5x-7$

7 0

3 years ago

contestants in a dance marathon rest for the same amount of time every hour. a couple rests for 27 minutes in 6 hours. how long

julsineya [31]

In the given question, there are several important information's that needs to be noticed. based on these information's the correct answer to the question can be easily deduced. It is already known that the contestants rest for the same amount of time every hour. In 6 hours they rest for 27 minutes. The 6 hours has to be converted to minutes first.
Then 6 hours = (6 * 60) minutes
   = 360 minutes
So we have to first determine the amount of rest each contestants take in 1 hour.
Then
In 360 minutes the couple rests for a total time = 27 minutes
In 60 minutes the couple will rest for = (27/360) * 60
   = 4.5 minutes
So the couple rests for 4.5 minutes in 1 hour
Then
In 8 hours the couple will rest for = (8 * 4.5) minutes
   = 36 minutes.
The couple will rest for 36 minutes in 8 hours.

6 0

3 years ago

Brainliest if correct

anyanavicka [17]

Answer:

Step-by-step explanation:

-4c + 9 + 4c

4c - 4c + 9

= 9

5 0

3 years ago

Which ordered pair makes both inequalities true?

kvasek [131]

Answer:

(3, 0)

Step-by-step explanation:

Given the inequality y > -2x + 3 and y ≤ x - 2

The graph of the inequalities are plotted using the geogebra graphing online calculator.

The portion of the graph that is shaded with dark blue, represents the portion that supports the equation.

All the ordered pair points given in the question are also labelled in the graph.

From the graph we can see that only point (3, 0) falls in the area that supports the equation. Hence (3, 0) makes both inequalities true.

6 0

3 years ago

Figure A is a scale image of figure B.

lakkis [162]

Answer:

Step-by-step explanation:

Solution

-=− 5

6 0

3 years ago