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3 years ago

Zachary is solving the following equation.

Mathematics

2 answers:

Monica [59]3 years ago

5 0

Answer: C. Distribute 3/4 over (x-8)

Step-by-step explanation:

To solve any(technically most, but still...) algebraic equation you must isolate the variable. In this case, the first step would either be to divide both sides of the equation by 3/4, or distribute 3/4 to x and -8, as you cannot modify the contents of the parenthesis without removing the 3/4.

Hope it helps and lmk if you further explanation <3 :)

Nina [5.8K]3 years ago

3 0

Answer:

Step-by-step explanation:

on edge

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In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= root 2 cm.

Nata [24]

Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.

Let AD=x, Since given AB=3

AD+DB=3

x+DB = 3

DB = 3-x

Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem

$BC^{2} = DB^{2} +CD^{2}$

$BC^{2} = (3-x)^{2} +(\sqrt{2} )^{2}$

$BC^{2} =(3-x)^{2} +2$

Since given AD=BC,let us plugin BC=x in above step.

$x^{2} =(3-x)^{2} +2$

$x^{2} =9-6x+x^{2} +2$

6x=11

x= $\frac{11}{6}$

Now we know AD=x= $\frac{11}{6}$ and given CD=√2.

Let us apply Pythagoras theorem for ΔACD

$AC^{2} =AD^{2} +DC^{2}$

$AC^{2} = (\frac{11}{6} )^{2} +(\sqrt{2} )^{2}$

$AC^{2} =\frac{193}{36}$

$AC=\sqrt{\frac{193}{36} }$ = 2.315cm

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3 years ago

Power bills usually show____.

Ede4ka [16]

Step-by-step explanation:

Based on the pricing per kilowatt energy set by the distributor/regulation in the jurisdiction, the due amount to be paid to the distributor may differ;

kW/h * price per kW = power bill

The power bill is also paid regularly such as monthly or annually and therefore will bear a due date.

Learn More:

For more on power bills check out;

brainly.com/question/1401925

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3 years ago

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Solve to indicated variable 16ak=-5 for a

damaskus [11]

The answer is
$\frac{ - 5}{16k} = a$
steps
#1) Try to leave a by itself by dividing any variable next to it
$\frac{16 ak = - 5 }{ 16k}$
you can only divided these variables as all these variables in the original equation. are being multiplied. The opposite if multiplication is division.

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3 years ago

Is 9.78083 a rational number

Alexus [3.1K]

No it’s not as its not constant and its a fraction

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3 years ago

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What is the difference in surface areas, in square feet, of the two boxes?

Katarina [22]

The difference is 3ft since the surface area for the prism is 57, and the surface area for the cube is 54.

You can use the surface area formula
2(wl+hl+hw) = Area
2·(3·4.5+2·4.5+2·3)=57

And a cubes surface area formula
6a^2 = Area
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3 years ago