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3 years ago

What are the solutions of the inequality graph the solutions -12r<-24

1 answer:

8 0

When you multiply or divide both sides by a negative in an inequality, flip the sign

I will show 2 ways, 1 with multipy and one with add

1. multiply
divide both sides by -12 and flips sign
r>2

2. add
add 12r to both sides
0<12r-24
add 24 to both sides
24<12r
divide both sides by 12
2<r
r>2

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The perimeter of a quarter circle is 14.28 KM. What is the quarter circle's radius?

lawyer [7]

Circumference= 2πr
Circumference= perimeter

14.28km= 2(3.14)r
14.28= 6.2831853072r
divide both sides by 6.2831853072
2.27= r

ANSWER: The radius is 2.27km

Hope this helps! :)

3 0

2 years ago

An angle measures 42° more than the measure of its complementary angle. What is the measure of each angle?

Vanyuwa [196]

Answer:

24° and 66°

Step-by-step explanation:

Angle 1 = x

Angle 2 = x + 42°

x + x + 42° = 90°

Subtract 42° from both sides and add

2x = 48°

Divide by 2

x = 24°

24° and 66°

Hope this was useful to you!

3 0

2 years ago

Read 2 more answers

NEED HELP I need to fill in the highlighted parts

Gemiola [76]

The statements and reasons why the given statements are true are presented in the following two column proofs;

Question 1

Given: 9·(x + 6) - 41 = 75

$Prove \ x = \dfrac{62}{9}$

Statement ${}$ Reason

S1. 9·(x + 6) - 41 = 75 ${}$ R1. Given

S2. 9·(x + 6) = 116 ${}$ R2. Addition property

S3. 9·x + 54 = 116 ${}$ R3. Distributive property

S4. 9·x = 62 ${}$ R4. Subtraction property

S5. $x = \dfrac{62}{9}$ ${}$ R5. Division property of equality

Question 2.

Statement ${}$ Reason

S1. m∠A + m∠B = m∠D ${}$ R1. Given

S2. ∠C and ∠D form a Linear Pair ${}$ R2. Definition of linear pair

S3. ∠C and ∠D are supplementary ${}$ R3. Linear pair ∠s are supplementary

S4. ∠C + ∠D = 180° ${}$ R4. Definition of supplementary

S5. m∠C + m∠A + m∠B = 180° ${}$ R5. Substitution property

Question 3.

Statement ${}$ Reason

S1. ∠BDA ≅ ∠A ${}$ R1. Given

S2. ∠BDA ≅ ∠CDE ${}$ R2. Vertical angle theorem

S3. ∠CDE ≅ ∠A ${}$ R3. Transitive property of congruency

S4. m∠CDE = m∠A ${}$ R4. Definition of congruency

S5. (13·x + 20)° = (14·x + 15)° ${}$ R5. Substitution Property of Equality

S6. 14·x° = 13·x + 5° ${}$ R6. Subtraction property

S7. x = 5 ${}$ R7. Subtraction property

Learn more here:

brainly.com/question/11331230

6 0

2 years ago

Determine the equations of the vertical and horizontal asymptotes, if any, for y=x^3/(x-2)^4

djverab [1.8K]

Answer:

Option a)

Step-by-step explanation:

To get the vertical asymptotes of the function f(x) you must find the limit when x tends k of f(x). If this limit tends to infinity then x = k is a vertical asymptote of the function.

$\lim_{x\to\\2}\frac{x^3}{(x-2)^4} \\\\\\lim_{x\to\\2}\frac{2^3}{(2-2)^4}\\\\\lim_{x\to\\2}\frac{2^3}{(0)^4} = \infty$

Then. x = 2 it's a vertical asintota.

To obtain the horizontal asymptote of the function take the following limit:

$\lim_{x \to \infty}\frac{x^3}{(x-2)^4}$

if $\lim_{x \to \infty}\frac{x^3}{(x-2)^4} = b$ then y = b is horizontal asymptote

Then:

$\lim_{x \to \infty}\frac{x^3}{(x-2)^4} \\\\\\lim_{x \to \infty}\frac{1}{(\infty)} = 0$

Therefore y = 0 is a horizontal asymptote of f(x).

Then the correct answer is the option a) x = 2, y = 0

3 0

3 years ago

Read 2 more answers

a football team gains 8 yards in one play, loses 5 yards in the next. What is the teams total yardage for the two plays

Ann [662]

The team gained a total of 3 yards. That is because they first gained 8 (0 + 8), then lost 3 (8 - 3).

6 0

2 years ago