1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ankoles [38]
3 years ago
8

Solve 5r2 – 12 = 68. {±4} {±5} {±3} {±6}

Mathematics
1 answer:
sashaice [31]3 years ago
3 0

Hey there!

Assuming you meant

5r^2 - 12 = 68

If so, follow these steps so it can be a little bit easier to solve

Firstly, we have to add by 12 on each of your sides

5r^2 -12 +12 \\ \\ 68 + 12

5r^2 = 5r^2 \\ \\ 68 + 12 = 80

We get: 5r^2 =80

Now, we have divide by 5 on each of your sides

\frac{5r^2}{5} = \frac{80}{5}

\frac{80}{5}  = 16

We get: r^2 = 16

r = ± \sqrt{16}

Therefore , your answer is:r = ±4

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

You might be interested in
Let R be the relation on the set of ordered pairs of positive integers such that ((a, b), (c, d)) ∈ R if and only if ad = bc. Ar
Veseljchak [2.6K]

Answer:

The given relation R is equivalence relation.

Step-by-step explanation:

Given that:

((a, b), (c, d))\in R

Where R is the relation on the set of ordered pairs of positive integers.

To prove, a relation R to be equivalence relation we need to prove that the relation is reflexive, symmetric and transitive.

1. First of all, let us check reflexive property:

Reflexive property means:

\forall a \in A \Rightarrow (a,a) \in R

Here we need to prove:

\forall (a, b) \in A \Rightarrow ((a,b), (a,b)) \in R

As per the given relation:

((a,b), (a,b) ) \Rightarrow ab =ab which is true.

\therefore R is reflexive.

2. Now, let us check symmetric property:

Symmetric property means:

\forall \{a,b\} \in A\ if\ (a,b) \in R \Rightarrow (b,a) \in R

Here we need to prove:

\forall {(a, b),(c,d)} \in A \ if\ ((a,b),(c,d)) \in R \Rightarrow ((c,d),(a,b)) \in R

As per the given relation:

((a,b),(c,d)) \in R means ad = bc

((c,d),(a,b)) \in R means cb = da\ or\ ad =bc

Hence true.

\therefore R is symmetric.

3. R to be transitive, we need to prove:

if ((a,b),(c,d)),((c,d),(e,f)) \in R \Rightarrow ((a,b),(e,f)) \in R

((a,b),(c,d)) \in R means ad = cb.... (1)

((c,d), (e,f)) \in R means fc = ed ...... (2)

To prove:

To be ((a,b), (e,f)) \in R we need to prove: fa = be

Multiply (1) with (2):

adcf = bcde\\\Rightarrow fa = be

So, R is transitive as well.

Hence proved that R is an equivalence relation.

8 0
3 years ago
What is the median of 3 3 4 5 5 5 6 6 6 7 8​
Zigmanuir [339]

Answer:

5

Step-by-step explanation:

The median is the middle number of the list when put in order from smallest to largest

3 3 4 5 5 5 6 6 6 7 8​

There are 11 numbers so the middle number is the  6th  ( 5 on the left and 5 on the right

3 3 4 5 5     5       6 6 6 7 8​

7 0
3 years ago
Read 2 more answers
4x +1 =2x + 5
schepotkina [342]

Answer:

x=2

Step-by-step explanation:

4x+1=2x+5

-2x   -2x

2x+1=5

    -1  -1

2x=4

2x/2

4/2

x= 2

sorry I didn't explain better but here

7 0
3 years ago
Read 2 more answers
Why it is important to find at least 3 ordered pair solutions when graphing linear equations?
stepladder [879]
Graph a system of linear equations on the coordinate plane and identify its solution.
3 0
3 years ago
Read 2 more answers
Scores on the Wechsler Adult Intelligence Scale (WAIS) are approximately Normal with mean 105 and standard deviation 16. People
erik [133]

Answer:

2.5% of adults are intellectually disabled by this criterion

Step-by-step explanation:

The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 105

Standard deviation = 16

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.

What percent of adults are intellectually disabled by this criterion

Below 73

73 = 105 - 2*16

So 73 is 2 standard deviations below the mean.

Of the 50% of the measures that are below the mean, 95% are within 2 standard deviations of the mean, that is, between 73 and 105. The other 100 - 95% = 5% are below 73. So

0.05*0.5 = 0.025

0.025*100 = 2.5%

2.5% of adults are intellectually disabled by this criterion

7 0
3 years ago
Other questions:
  • 4/5 equivalent to 5/6
    13·1 answer
  • How can knowing the greatest common factor and least common multiple help when adding subtracting and multiplying fractions
    14·1 answer
  • For the figures shown, HJKL ~ QRST, and the scale factor of HJKL to QRST is 9/7.
    7·1 answer
  • edwardo wants to find the height of a building using the sun, his height, and similar triangles. He goes out during his noon lun
    8·1 answer
  • FREE POINTS: I need the answer and explanation very soon! Please please hurry
    9·2 answers
  • ANswer this question!!!!!
    7·1 answer
  • I am not sure how to do number 10?
    7·1 answer
  • 2. Write the following number in standard form: (3.NSBT.4)
    14·1 answer
  • What is the area of the parallelogram? A parallelogram with base of 20 centimeters, height of 15 centimeters, and side length 21
    14·1 answer
  • The Sine Function
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!