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2 years ago

Solve each absolute value equation or inquality and choose the correct answer from the choices provided.

Mathematics

1 answer:

lawyer [7]2 years ago

7 0

1- 13 or -13 (B)

2- -5 < y < -3 (A)

3- t = 6 or -6 (B)

Hope this helps you =)

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-2 1/3-(-5) can someone help me

Masja [62]

Convert the mixed numbers to improper fractions then find the LCD and combine.
exact form: 8/3
decimal form: 2.6
mixed number form: 2 2/3

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3 years ago

Cant figure this out

Snezhnost [94]

Answer: y^2 / p^3

Step-by-step explanation:

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2 years ago

Find the quotient. x + 7 x ÷ 9 x

kicyunya [14]

The first step for solving this expression is to write the division as a fraction.
x + $\frac{7x}{9}$ × x
Calculate the product.
$\frac{7x X x}{9}$
Remember that if a term doesn't have an exponent,, it is considered that the exponent for that term is 1. This changes the expression to the following:
$\frac{7 x^{1}X x^{1} }{9}$
Now multiply the terms with the same base by adding their exponents.
$\frac{7 x^{1+1}}{9}$
Finally,, add the numbers together to get your final answer.
x + $\frac{7 x^{2}}{9}$
Let me know if you have any further questions.
:)

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3 years ago

If PQ=8 and Q lies at -13 where could P be located?

choli [55]

Answer:

In the given figure the point on segment PQ is twice as from P as from Q is. What is the point? Ans is (2,1).

Step-by-step explanation:

There is really no need to use any quadratics or roots.

( Consider the same problem on the plain number line first. )

How do you find the number between 2 and 5 which is twice as far from 2 as from 5?

You take their difference, which is 3. Now splitting this distance by ratio 2:1 means the first distance is two thirds, the second is one third, so we get

4=2+23(5−2)

It works completely the same with geometric points (using vector operations), just linear interpolation: Call the result R, then

R=P+23(Q−P)

so in your case we get

R=(0,−1)+23(3,3)=(2,1)

Why does this work for 2D-distances as well, even if there seem to be roots involved? Because vector length behaves linearly after all! (meaning |t⋅a⃗ |=t|a⃗ | for any positive scalar t)

Edit: We'll try to divide a distance s into parts a and b such that a is twice as long as b. So it's a=2b and we get

s=a+b=2b+b=3b

⇔b=13s⇒a=23s

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2 years ago

a rational number m is called a perfect square if and only if for some positive rational number, m equals

dmitriy555 [2]

If m= a number that can be square rooted to give a whole number

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2 years ago