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3 years ago

Find all the whole values of a for which the solution of the equation ax = 6 is a whole number.

Mathematics

1 answer:

Marianna [84]3 years ago

7 0

Answer:

Step-by-step explanation:

The given equation is,

$\Rightarrow ax = 6$

$\Rightarrow x = \dfrac{6}{a}$

We need to to find all the whole values of a for which the solution of the equation i.e x will be a whole number.

We know that when a number is divided by one of its factor it leaves a remainder of 0 or the result we get is a whole number.

That is why, we need a as one of the factors of 6, i.e 1, 2, 3, 6 in order to get x as a whole number.

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2(x-3) = (x-1) + 7<br><br> Please show your steps!!

andre [41]

Simplify the equation.

First, distribute the 2 in the left side of the equation.
Resulting in: 2x-6 = (x-1) + 7

Second, remove the parentheses form the right side of the equation (there is nothing to distribute there).
Resulting in: x - 1 + 7

Now simplify the right side of the equation by subtracting the 1 from the 7.
Resulting in: x + 6

Our goal is to isolate the x to the left side, and the numerals to the right side.
With that in mind, add the 6 (from the right side) to both sides. This cancels out the 6 on the right side.
Resulting in: 2x = 12

Lastly, in order to fully isolate the variable (x), we divide both sides by 2.
Resulting in: x = 6

Hope this helps.

6 0

3 years ago

Read 2 more answers

I think it’s A but again i’m not sure.

Gnoma [55]

M∠BDC=half the arc it faces=1/2 of 54=27
BD is the diameter, so m∠C=90
m∠DBC=180-90-27=63

6 0

3 years ago

What fraction is represented by the tick mark labeled m

lianna [129]

M×
_
×

I brlive that is the answer

7 0

3 years ago

Please help with this thank you

RUDIKE [14]

1/4 is 25 percent so it is still 40.00

6 0

2 years ago

Given the same triangle from part C, if line segment AB measures 12 inches and line segment BC measures 5 inches what is the mea

exis [7]

Answer:

4.615 in

Step-by-step explanation:

Triangle ABC and ABD are similar because they have two corresponding congruent triangles that is right angle and ∠A. Triangle ABC and BCD are similar because they have two corresponding congruent triangles that is right angle and ∠C. Therefore Triangle ABC, ABD and BCD are similar. Since they are similar, then their sides are proportional in length.

In triangle ABC, using Pythagoras theorem:

AC² = AB² + BC²

AC² = 12² + 5²

AC² = 144 + 25 = 169

AC² = 169

AC = √169 = 13 in

Using similar triangle for ΔABC and ΔABD:

$\frac{AC}{AB}= \frac{BC}{BD} \\\\\frac{13}{12}=\frac{5}{BD}\\\\BD=\frac{12*5}{13}\\ BD=4.615\ in$

5 0

2 years ago