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boyakko [2]
3 years ago
11

Explain how you can use absolute value to tell whether

Mathematics
1 answer:
kicyunya [14]3 years ago
3 0

Answer:

Let the integers are p and q.

In case both integers are positive or negative, you add the numbers up and apply their sign to the sum.

<u>Examples:</u>

  • 10 + 88 = 98
  • -20 + (-15) = -35

In case one of the integers is negative and one positive.

  • p < 0, q > 0

Use absolute value in this case.

Subtract the numbers and apply the sign of the number with the greater absolute value.

<u>Examples:</u>

  • - 10 + 15 = |15 - 10| = |5| = 5
  • - 15 + 10 = - |15 - 10| = - |5| = -5
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What is the simplified form of 20 times x to the sixth power over 15 times y to the fifth power times the fraction 5 times y squ
Delvig [45]
In order to easily picture out the operation involving fractions, let's write it in an algebraic equation. So, the above description is written as

20x⁶/15y⁵ × 5y²/6x⁴

The first thing to do is to simplify the easiest terms: the constants. Just multiply all the constants on the numerator and all the constants on the denominator independently. The simplified constant becomes

(20*5)/(15*6) = 10/9

So, the equation to be solved now is 

10x⁶y²/9y⁵ x⁴

So, I also multiplied all the variables in the numerator and denominator independently, just like the constants. Then, you apply the laws of exponents. When you divide terms with exponents of the same value of the base, you subtract the exponent on the numerator minus the denominator. It goes like this:

10/9 * x⁶⁻⁴*y²⁻⁵ = 10/9*x²y⁻³

Now, when the exponent as written to the power of a negative exponent, just simply take its reciprocal to make it positive. So, the final answer is

10x²/9y³ or that is letter D.
8 0
4 years ago
A car rental agency advertised renting a car for $24.95 per day and $0.26 per mile. If Brad rents this car for 3 days, how many
bulgar [2K]

Answer:

481 whole miles

Step-by-step explanation:

Total cost would be 3 x 24.95 + 0.26m, where m is the miles driven.

Total cost has to be under or equal to $200, so

3 x 24.95 + 0.26m <= 200

74.85 + 0.26m <= 200     ( 3 x 24.95)

0.26m <= 125.15               ( subtract 74.85)

m <= 481.35                      ( divide 0.26)

3 0
4 years ago
Read 2 more answers
The opposite corners of a quadrilateral are right angles. What kind of quadrilateral is this figure?
never [62]

Answer:

Send a picture for a full answer.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
If two angles of a triangle have measures of 42° and 20°, what is the measure of the third angle?
tiny-mole [99]

Answer:

118°

Step-by-step explanation:

The sum of a triangle is always gonna be 180°. Adding 42° and 20° you get 62°. When you subtract 180° minus 62° you the third angle which is 118°.

3 0
3 years ago
Read 2 more answers
In the diagram below, AB = BD = BC, and mZA = 24°. Find<br> mZC.
snow_tiger [21]

Answer:

m∠C = 66°

Step-by-step explanation:

Since AB = BD, it means this triangle is an Isosceles triangle and as such;

∠BAD = ∠BDA = 24°

Thus, since sum of angles in a triangle is 180,then;

∠ABD = 180 - (24 + 24)

∠ABD = 180 - 48

∠ABD = 132°

We are told that BC = BD.

Thus, ∆BDC is an Isosceles triangle whereby ∠BCD = ∠BDC

Now, in triangles, we know that an exterior angle is equal to the sum of two opposite interior angles.

Thus;

132 = ∠BCD + ∠BDC

Since ∠BCD = ∠BDC, then

∠BCD = ∠BDC = 132/2

∠BCD = ∠BDC = 66°

3 0
3 years ago
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