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san4es73 [151]
3 years ago
7

Solve for n: 7(n - 6) = a(n + 5)

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0

Answer:

n = \frac{(5a + 42)}{( 7 - a ) }

Step-by-step explanation:

7(n - 6) = a(n + 5)

7n - 42 = an + 5a

7n - an = 5a + 42

n( 7 - a ) = 5a + 42

n = \frac{(5a + 42)}{( 7 - a ) }

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Graph the circle (x+6)^2 + (y+5)^2 =9
Andrei [34K]

Answer:

This a circle centered at the point (-6,-5), and of radius "3" as it is shown in the attached image.

Step-by-step explanation:

Recall that the standard formula for a circle of radius "R", and centered at the point (x_0,y_0) is given by:

(x-x_0)^2+(y-y_0)^2=R^2

Therefore, in our case, by looking at the standard equation they give us, we extract the following info:

1)  R^2 = 9\,\,\,then\,\,\,R=3  since the radius must be a positive number and (R=-3) is not a viable answer.

2) x_0=-6    for ( x-x_0) to equal   (x+6)

3) y_0=-5    for ( y-y_0) to equal   (y+5)

Therefore, we are in the presence of a circle centered at the point (-6,-5), and of radius "3". That is what we draw as seen in the attached image.

5 0
3 years ago
Translate this phrase into an algebraic expression.
Andreas93 [3]

Answer:

4m-8

Step-by-step explanation:

5 0
3 years ago
John sells appliances for a living. He sold a
Thepotemich [5.8K]

Answer:

95$!

Step-by-step explanation:

475 x 20% = 95

8 0
3 years ago
8x+4 (4x+3) = 4 (6x+4)-4 help
Tasya [4]

Answer:

0

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

8x+4(4x+3)=4(6x+4)−4

8x+(4)(4x)+(4)(3)=(4)(6x)+(4)(4)+−4(Distribute)

8x+16x+12=24x+16+−4

(8x+16x)+(12)=(24x)+(16+−4)(Combine Like Terms)

24x+12=24x+12

24x+12=24x+12

Step 2: Subtract 24x from both sides.

24x+12−24x=24x+12−24x

12=12

Step 3: Subtract 12 from both sides.

12−12=12−12

0=0

Answer:

All real numbers are solutions.

4 0
3 years ago
Please help me, I’m struggling
Rzqust [24]

Answer:

28\sqrt{6}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

\sqrt{96}

= \sqrt{16(6)}

= \sqrt{16} × \sqrt{6}

= 4\sqrt{6}

Then

7\sqrt{96}

= 7 × 4\sqrt{6}

= 28\sqrt{6}

8 0
3 years ago
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