Use the diagram to find the measures of the lengths of the sides. The perimeter of the trapezoid on the right is 93
inches.

Answer:

(1,4)

Step-by-step explanation:

Let y (upper eq) = y (lower eq)

x+3 = 3x+1

(transposing similar numbers)

3x-x = 3-1

2x = 2

then x = 1

substituting x in any of the equation, say

y = x+3

y = 1 +3

y = 4

therefore (1,4)

check again the lower equation

y = 3x + 1

y = 3(1) + 1

y = 4

therefore (1,4)

Answer:

Totally Rational

Step-by-step explanation:

-16/-2 would give you 8 which is a rational number

I hope this helps, dont hesitate to ask for any question.Mark me as brainliest is appreciated.Tq!!

Answer:

Mean = 58.18

Median = 60

Modes = 55 and 60

Step-by-step explanation:

To find the mean/average, add up all the numbers and divide the sum by the # of numbers there are (ex. there are 11 numbers so divide the sum by 11).

The median is the middle number of a set.  In this case, the middle number is easy to see because the # of numbers is odd, but if it was even, just find the average of the two middle numbers.

The mode is/are the most frequent number(s) in the set.  In this set, the numbers that appear the most are 55 and 60.

Answer:

11

Step-by-step explanation:

if pq = qr, x+1 = 11+1=12

thus x = 1

Answer:

1) answer 3)88 students for 4 classes

10)answer=285parts

Answer:

The choose C. 24x+6y

Step-by-step explanation:

[tex]3(8x + 2y) = 24x + 6y[/tex]

I hope I helped you^_^

Answer:

$7.20

Step-by-step explanation:

First, we would have to find out how much to subtract from $62.

We need to multiply 90% and 62 or 0.9 x 62

When we finish this equation we get 54.8, which is what we need to subtract from 62 to see what 90% off is.

62 - 54.8 = 7.2, so therefore our answer is $7.20

Step-by-step explanation:

$334,654 ×14,5% = $34,024.83

therefore that is your answer

Hey there!

The word sum usually means addition in mathematics!

27 + (-28) / 2

= 27 - 28 / 2

= -1 / 2

= -0.5

Answer: -1/2 OR -0.5 (either those should work because they are both equivalent)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \sf\frac { 27 + ( - 28 ) } { 2 } \\ [/tex]

[tex] \boxed{\boxed{ \boxed{ \bf\frac{-1}{2} = \bf- 0.5}}}[/tex]

Answer:

6 numbers

Step-by-step explanation:

25

26

52

56

62

65

Answer 61

Step-by-step explanation:

The answer is 61 bc the pattern is +5

Answer:

26, 31, 36, 41, 46, 51, 56, 61

the eighth number is 61.

Step-by-step expanation:

Answer:

x = y/5 + 6/5

Answer:

-0.2 I think .......................

I think it’s 55%

Bc 55+45=100

45/50 90% 100-90 = 10

Step-by-step explanation:

10% is correct

Answer:

[tex]4g^{2}h-12gh^{2}-9gh[/tex]

Copy and paste version:

4g^2h-12gh^2-9gh

Step-by-step explanation:

[tex](4g^{2}h-gh-9gh^{2})+(8gh-3gh^{2})=\\4g^{2}h-gh-9gh^{2}+8gh-3gh^{2}=\\4g^{2}h-9gh-12gh^{2}=\\4g^{2}h-12gh^{2}-9gh[/tex]

Answer:

4g^2h-12gh^2-9gh

Step-by-step explanation:

Answer:

5 more matches was won by yu-na kim

9514 1404 393

Answer:

  no

Step-by-step explanation:

2π ≈ 6.28

√44 ≈ 6.63

  2π < √44

Answer:

[tex]slope = \frac{y2 - y1}{x2- x1} \\ = \frac{9 - 16}{9 - 1} \\ = \frac{ - 7}{8} \\ slope = \frac{ - 7}{8} \\ thank \: you[/tex]

Answer:

40°C

Step-by-step explanation:

Plug in 104° for F. This makes the equation [tex]\frac{5}{9}(104-32)=C[/tex].

Now, simplify.

[tex]104-32=72\\\frac{5}{9} (72)=40\\C=40[/tex]

Hope this helps!

Answer:

A

Step-by-step explanation:

brackets first according to bodmas

Answer:

C

Step-by-step explanation:

It is not A, that implies that there is no parenthesis needed. Same goes for D.

It is not B, (5x +2)-3

"Three less than" implies that 3 will be subtracted in the end of the equation.

B and C may get mixed up: C includes the phrase "the quantity" which implies the number (x) and two are added before being multiplied by 5.

Answer:

Answer: x² + 16x + 64

Step-by-step explanation:

[tex] {(x + 8)}^{2} [/tex]

double the brackets, to remove the power:

[tex] = (x + 8)(x + 8)[/tex]

open the brackets:

Generally:

[tex]{ \boxed{(a + b)(a + b) = {a}^{2} + 2ab + {b}^{2} }}[/tex]

from our equation given;

a » x

b » 8

substitute in the equation in the box:

[tex](x + 8)(x + 8) = {x}^{2} + \{ 2(x)(8) \} + {(8 )}^{2} \\ \\ = {x}^{2} + 16x + 64[/tex]

Answer:

x² + 16x + 64

Step-by-step explanation:

that is the answer I think

Answer:

23.8 years

Step-by-step explanation:

Assuming this is compound interest, we'll use the compound interest formula

A = P(1 + r)ⁿ

A = Final amount (2000)

P = Initial amount (500)

r = Annual interest rate (.06)

n = ?

Our equation will look like this

2000 = 500(1.06)ⁿ

First, divide both sides by 500

2000/500 = (500(1.06)ⁿ)/500

(1.06)ⁿ = 4

Then we have to take the log₁.₀₆ out of both sides

n = log₁.₀₆(4)

n = 23.79132

Answer:

$8.27

Hope this is right <3

We just have to substitute the values and get the answer.

x is equal to 2 or -5

y is equal to 1 or 8

Step-by-step explanation:

first put your first equation in a format of y = x + _

here it will be :

[tex]y = - \times + 3[/tex]

now go and substitute this in your second equation. just like the picture. the pictures explain further

Hello there!

We are given the simultaneous equations:

[tex] \displaystyle \large{ \begin{cases} x + y = 3 \\ {x}^{2} - 3y = 1 \end{cases}}[/tex]

There are many methods to solve the equation but the best way for this problem is Substitution Method.

First, we have to isolate one-degree variable. I will choose the first equation to isolate. We are going to isolate y-variable so we can substitute the first equation in the second.

[tex] \displaystyle \large{ \begin{cases} x + y = 3 \\ {x}^{2} - 3y = 1 \end{cases}}[/tex]

Subtract x both sides for first equation.

[tex] \displaystyle \large{ \begin{cases} x - x+ y = 3 - x \\ {x}^{2} - 3y = 1 \end{cases}} \\ \displaystyle \large{ \begin{cases} y = 3 - x \\ {x}^{2} - 3y = 1 \end{cases}}[/tex]

After isolating y-term, we can finally substitute y = 3-x in the second equation.

[tex] \displaystyle \large{ \begin{cases} y = 3 - x \\ {x}^{2} - 3(3 - x) = 1 \end{cases}}[/tex]

Expand -3 in. Recall that negative × negative = positive and negative × positive = negative.

[tex] \displaystyle \large{ \begin{cases} y = 3 - x \\ {x}^{2} -9 + 3x= 1 \end{cases}}[/tex]

Notice that the second equation is in quadratic pattern. We are going to convert in the standard form to solve the equation.

Subtract both sides by 1.

[tex] \displaystyle \large{ \begin{cases} y = 3 - x \\ {x}^{2} -9 - 1 + 3x= 1 - 1 \end{cases}} \\ \displaystyle \large{ \begin{cases} y = 3 - x \\ {x}^{2} -10 + 3x= 0 \end{cases}}[/tex]

Arrange the expression in ax^2+bx+c = 0.

[tex] \displaystyle \large{ \begin{cases} y = 3 - x \\ {x}^{2} -9 - 1 + 3x= 1 - 1 \end{cases}} \\ \displaystyle \large{ \begin{cases} y = 3 - x \\ {x}^{2} + 3x - 10= 0 \end{cases}}[/tex]

Factor the expression.

What two numbers add or subtract each others and equal to 3? (These numbers must not multiply each others and be greater than 10)

What two numbers multiply each others and equal to -10?

Check the number above and multiply two numbers.

Two numbers would be 5 and -2. Factor the expression in two brackets.

[tex] \displaystyle \large{(x + 5)(x - 2) = 0}[/tex]

Then we solve like a linear equation, isolate both x.

[tex] \displaystyle \large{x= - 5,2}[/tex]

We've got two x-values. But we are not done yet.

We are going to use these values to substitute in the simultaneous equation. You can substitute in any equations; the first or second. I will choose to substitute x = -5 or x = 2 in the first equation since it is faster.

[tex] \displaystyle \large{ \begin{cases} y= 3 - x \\ {x}^{2} - 3y = 1 \end{cases}}[/tex]

Substitute x = -5

[tex] \displaystyle \large{ \begin{cases} y= 3 - ( - 5)\\ {x}^{2} - 3y = 1 \end{cases}} \\ \displaystyle \large{ \begin{cases} y= 3 + 5\\ {x}^{2} - 3y = 1 \end{cases}} \\ \displaystyle \large{ \begin{cases} y= 3 - ( - 5)\\ {x}^{2} - 3y = 1 \end{cases}} \\ \displaystyle \large{ \begin{cases} y= 8\\ {x}^{2} - 3y = 1 \end{cases}} [/tex]

When we substitute x = -5, y = 8.

Next, substitute x = 2

[tex] \displaystyle \large{ \begin{cases} y= 3 -2\\ {x}^{2} - 3y = 1 \end{cases}} \\ \displaystyle \large{ \begin{cases} y= 1\\ {x}^{2} - 3y = 1 \end{cases}}[/tex]

When we substitute x = 2, y = 1.

Therefore,

OR

Let me know if you have any questions!

Topic: Simultaenous Equations