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3 years ago

-5n=4m+8 solve for m

Mathematics

1 answer:

serious [3.7K]3 years ago

5 0

Answer:

m = -5/4n -2

Step-by-step explanation:

-5n=4m+8

-8 -8 Subtract 8 from both sides

-5n - 8 = 4m

-5/4n -2 = m Divide both sides by 4

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The perimeter of a rectangle is 63cm.The length of its shorter side is 9cm.Find its area

kodGreya [7K]

Answer:

202.5cm^2

Step-by-step explanation:

P=2l+2w

63=2(9)+2w

63=18+2w

63-18=2w

45=2w

divide both sides by 2

22.5=w

check:

P=2(9)+2(22.5)

=18+45

=63

Area=l×w

=22.5×9

=202.5cm²

5 0

3 years ago

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Tomas wrote the equation y = 3x +y equals 3 x plus StartFraction 3 over 4 EndFraction.. When Sandra wrote her equation, they dis

BaLLatris [955]

Answer:

$-6x+2y=\frac{3}{2}$

Step-by-step explanation:

The equation Thomas wrote is:

$y=3x+\frac{3}{4}$ ...equation 1

Let us subtract 3x from both sides to get:

$-3x+y=\frac{3}{4}$

We now multiply through by 2 to get:

$-6x+2y=\frac{3}{2}$ ....equation 2

We can see that equation one and two are equivalent and hence have the same solution.

Therefore Sandra's equation is $-6x+2y=\frac{3}{2}$

6 0

3 years ago

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What is the measure of angel A rounded to nearest whole number ?

snow_lady [41]

Use inverse cosine here because you have the side adjacent to angle A and the hypotenuse. On your calculator, press the 2nd key then cosine to see this on your display $cos^{-1}$ then enter 8/17 to give you an angle measure of 62 degrees.

4 0

3 years ago

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What the power a when 5^a = 1/125

Advocard [28]

Answer:

a = -3

General Formulas and Concepts:

Algebra I

Solving Exponential Equations

Exponential Property [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle 5^a = \frac{1}{125}$

Step 2: Solve for a

Rewrite: $\displaystyle 5^a = \frac{1}{5^3}$
Rewrite [Exponential Property - Rewrite]: $\displaystyle 5^a = 5^{-3}$
Set: $\displaystyle a = -3$

3 0

2 years ago

What is the solution to the system of equations below? Please show work.

snow_tiger [21]

Answer:

2) (0,-3)

Step-by-step explanation:

hello :

put x=0 and y= -3 in this system !

Y = 3/4x - 3

3x - 4y = 12

- 3 = 3/4(0) - 3 means : -3 = -3 ......true

3(0) - 4(-3) = 12 means : 12= 12 ......true

4 0

2 years ago