If value of a+b=7and ab=12then find the value of a and b

Hello! I'm happy to help!

Question 13: First, we will need to find the value of x. We know that AB and BC are equal.

So, we can subtract x from both sides.

2x-8

-x

x-8

So, we get AB as x-8

x+17

-x

17

and BC as 17. We know that these are equal, so we need to find which x value will make them that way. In this case, x=25 because 25-8=17. We can now add back the x we removed earlier.

17+25=42

Therefore, both AB and BC have a value of 42. and AC will be the combined total.

42+42=84

So, for question 13, x=25, AB=42, BC=42, and AC=84.

Question 14: This question is similar, but we have an expression for AB and AC, instead of AB and BC. We still know that AB=BC, so we can also say that BC=x+6 also. To find x, we need to find a second expression that is equal to AC. We can ad AB and BC together to get that. (x+6)+(x+6)=2x+12. This expression is equal to the AC expression, so we can compare them to find x.

2x+12=3x-31

We need to single out the x on one side, by changing things in the same way on both sides.

2x+12=3x-31

-2x       -2x

12=x-31

+31 +31

43=x

Now that we know our x value, we need to plug it in!

43+6=49

We now know that both AB and BC have a value of 49. Let's plug in the value for AC.

(43·3)-31

129-31

98

After plugging in the values, we know that AC is equal to 98. You could have also added AB and BC together, giving you 98 also.

To Summarize Question 14: x=43, AB=49, BC=49, AC=98.

Question 15: This one is very similar to the last, with a little more complexity to the expressions. First, let's simplify the expressions on AB and AC.

AB=3(3x-1)  AB=9x-3

AC=5(2x+2)   AC=10x+10

Now that we have the simplified expressions, let's solve. We need to find an equivalent expression for AC. We know that AB and BC are equivalent, and also add up to AC. We can copy the expression from AB to BC, and then add them

(9x-3)+(9x-3)=18x-6=AC

We now compare the two expressions in an equation to find x.

10x+10=18x-6

Again, we have to single out x on one side.

10x-10=18x-6

-10x     -10x

10=8x-6

+6     +6

16=8x

This time, we need to divide both sides to single out x.

[tex]\frac{16}{8}[/tex]=[tex]\frac{8x}{8}[/tex]

2=x

Now that we have x, we need to plug it in to finish solving.

(9·2)-3

18-3

15

AB=15  BC=15

From here, you can do one of two things, add AB and BC together (easy), or plug in x for AC.

15+15=30                            (10·2)+10

AC=30                                 20+10=30

                                            AC=30

To Summarize Question 15: x=2, AB=15, BC=15, AC=30.

I'm always happy to help, keep learning! :D

Answer:

[tex]commutative \: property \: of \: addition \\ thank \: you[/tex]

answer:

h3

Step-by-step explanation:

H raise to power 3

Answer:

6 songs

Step-by-step explanation:

27 divided by 4 1/2 or 4.5 equals 6 which mean they sang six songs.

Answer:

6, because 4.5 fits into 27 6 times.

An inequality is an expression which makes comparison between unequal expressions i.e. both sides of the inequality sign are not equal.

The inequality is given as:

[tex]x > 5[/tex]

[tex]x > 5[/tex] means x greater than 5

So, the verbal description is as follows:

The set of all real numbers greater than 5

To sketch [tex]x > 5[/tex] on a number line, we consider the following:

See attachment for the sketch

To determine if the interval is bounded or not, we do the following.

[tex]x > 5[/tex] means that the x starts at a value greater than 5, and the value of x has no end.

This is represented as: [tex](5,\infty)[/tex]

Notice that 5 is at the right, while [tex]\infty[/tex] is at the left.

This means that the interval is bounded (right bounded to be precise)

Read more about inequalities at:

https://brainly.com/question/17194874

Answer:

$30

Step-by-step explanation:

To find the median, arrange numbers from smallest to largest

The # of data points in this scenario are 5, which is odd.  If the # of data points is odd, the median is the data point in the center.

$28, $28, $30, $36, $40

if you wanted to find the median with an even # of data points, it's the average of the two middle data points.

The median price of the sport jerseys is : $30

Given the prices :

$28, $36, $40, $30, $28

To find the median price, we need to arrange the values in order :

Ordered prices = $28, $28, $30, $36, $40

The median formula = 1/2(n+1)th term

n = number of terms = 5

Hence,

Median price = 1/2(5 +1)th term

Median price = 1/2(6) = 3rd term

The 3rd term = $30.

Hence, the median price is $30

Learn more : https://brainly.com/question/300591?referrer=searchResults

Answer:

The common factor is 12a³

Step-by-step explanation:

[tex] {24a}^{3} {b}^{4} , \: 36 {a}^{4} {c}^{4} , \: 48 {a}^{3} {b}^{2} c[/tex]

each term got a factor:

[tex] = 12 {a}^{3} [/tex]

Answer:

4800

Step-by-step explanation:

x is the number of total students

x * 9/20 = number of female students

x * 9/20 = 2160

Multiply each side by 20/9

x * 9/20 * 20/9 = 2160 * 20/9

x =4800

Answer:

17+5=17+5

No matter what order you put them it will always be the same

Answer:

17+5=5+17

Step-by-step explanation:

17+5=22

5+17=22

Answer:

greg, 4 seconds

Step-by-step explanation:

find how long it takes each person to run 2km first.

distance/speed:

40-12=28 seconds, pepper will take 28 seconds to finish the race from the time greg starts. greg will win by 4 seconds

Answer:

A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.

Step-by-step explanation:

hope that it helped you

Answer:

15

Step-by-step explanation:

5/100*300

100 can be cut for 100 and 300

so 5/1*3

ans 15

Answer:

Percentage Calculator: What is 5 percent of 300? = 15.

Answer:

hi

Step-by-step explanation:

mad

Answer:360

Step-by-step explanation:

Answer:

12 miles in a day.

Step-by-step explanation:

Variable x = number of miles

Company A: 120 + 0.20x

Company B: 60 + 0.40x

Set up an equation:

120 + 0.20x = 60 + 0.40x

60 + 0.20x = 0.40x

60 = 0.20x

12 = x

Answer:

FALSE

Step-by-step explanation:

Use the Pythagorean theorem to check.

4²+3²=6² ?

16+9=36?

25≠36

The bacteria increases 90% the formula adds the percentage, as a decimal to the 1.

The answer would be 0.90

7*5=35 its simple though

Answer:

27

Step-by-step explanation:

Answer:

27

The value of "y" has been given to be 4

Then, substitute it has I've done in the image sent

Answer:

It’s the number of ways N people can be arranged in a straight line without restriction minus the number of arrangements in which the 2 people are together.

The number of ways N people can be arranged in a straight line without restriction = N!

The number of arrangements in which the 2 people are together = the number of possible positions for the left-hand person multiplied by the number of people who can be that person, multiplied by the number of possible arrangements for the other N - 2 people

= (N - 1) * 2 * (N - 2)!

= 2 (N - 1)!

So the number of ways N people can be arranged in a straight line if 2 particular people must be separated = N! - 2(N - 1)!

Answer:

12

Step-by-step explanation:

she is now 12 years old.how easy question.

Answer:

$4,750

Step-by-step explanation:

All we need to do is multiply both values.

38 * 125 = $4,750

Best of Luck!

Answer:

Here is your answer

Hope it helps

Answer:

3.81

Step-by-step explanation:

-      +     -

-      +     -

-      +      -

If you were to go all ways on this chart↑ the rules would always be the same.

A negative plus a negative is a negative.

A negative plus a positive is a negative.

A positive plus a postitive is a positive.

Answer:

2x

Step-by-step explanation:

6x-4x

= x(6-4)

= 2x