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3 years ago

Which literal equations are equivalent to B= a/h A. H=BA B. h= A/B c. A= BH D. A=b/h

1 answer:

6 0

B=A/H means B is equal to A divided by H. If you wanted to find H you would have to multiply both sides by A which would be H=BA. If you wanted to find A you would multiply both sides by H which would be A=BH. Which means A and C are equivelent to B=A/H.

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Explain why any of the four operations placed between two terms 5 and -3 sqrt (8) will result in an irrational number

Gnoma [55]

Sum/difference:

Let

$x = 5 + (-3\sqrt{8}) = 5-3\sqrt{8}$

This means that

$3\sqrt{8} = 5-x \iff \sqrt{8} = \dfrac{5-x}{3}$

Now, assume that $x$ is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that $x$ was rational, which proves that the sum/difference of the two given terms was irrational

Multiplication/division:

The logic is actually the same: if we multiply the two terms we get

$x = -15\sqrt{8}$

if again we assume x to be rational, we have

$\sqrt{8} = -\dfrac{x}{15}$

But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.

7 0

3 years ago

Show me how to solve 6j-3 for j=4

aleksklad [387]

Answer:

Step-by-step explanation:

plug in 4 where you have the j

6(4)-3=

24-3=

6 0

3 years ago

The sum of two numbers is 63. The larger number is 23 more than the smaller number. What are the numbers?

Sunny_sXe [5.5K]

x+y=63

x=y+23

y+23+y =63

2y +23 = 63

2y =40

y=40/2 =20

y = 20

x = 20+23=43

the numbers are 20 & 43

5 0

3 years ago

Read 2 more answers

-3x minus 2 minus -6x = -4 minus -4x plus 12

DochEvi [55]

-3x-2-6x=-4-(-4x)+12

-9x-2=-16x+12

7x=14

x=2.

You probably got confused with the italicized part.

6 0

3 years ago

Evaluate X + Y when X = 13.1 and Y = 2.2 A. 10.9 B. -10.9 C. 35.1 D. 15.3

bazaltina [42]

X +Y = 13.1 + 2.2
= 15.3

answer
D. 15.3

4 0

4 years ago