A rectangle has a length of 9 and a width of 7. Find the length of the diagonal. (Hint: Use
Pythagorean theorem and draw a picture!)
63
72
130
V145

Answer:

4(7)^2-12(7)-3

4×49-84-3

112-3

109

Answer: Your correct and final answer should be 109.

Step-by-step explanation:

All you need to do solve this problem is substitute for X using 7. {After you you plug just use PEMDAS and solve from left to right or use a calculator}

4(7)^2 -12(7) -3

4×49 -84 -3

112-3 = 109

Answer:

Options A and B are polynomial of the fourth degree

Step-by-step explanation:

In this problem, option

A. 3x2y + 5x3y + 6y4

Is a Polynomial of the fourth degree because of the 6y⁴ term which is the highest degree

Also the option

B. 6y4 + 5x3 + 1 has a 6y⁴ term which indicates that the polynomial is a fourth degree polynomial

What is the degree of a polynomial?

In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer

Step-by-step explanation:

at 3=3

at 0=9

at 4=1

[tex]y = ax + b[/tex]

[tex]1 = 4a + b \\ 3 = 3a + b \\ 2 = - a \\ a = - 2 \\ 1 = - 4 \times 2 + b \\ b = 1 + 8 = 9 \\ y = - 2x + 9[/tex]

Answer:

y=-2x+9

Step-by-step explanation:

From looking at the line you can already tell that the slope is going to be negative, and the y-intercept is going to be 9, since that's where y is when x is 0. You can see that when x is one, y is 7. When x is 2, y is 5. And when x is 3, y is 3.

So:

0: 9

1:7

2:5

3:3

And the difference of y over the difference of x is the slope

-2/1=-2

So the slope is -2

Therefore, putting the equation together makes:

y=-2x+9

Hope this helps!

Answer:

Multiply four on both sides

Step-by-step explanation:

;)

Answer:

1/5

Step-by-step explanation:

since there is 5 sons they divide the land in 5.

Step-by-step explanation:

For the denominator to become 100, we multiply 2 to the numerator and denominator:

23/50 = (23 * 2)/(50 * 2) = 46/100 = 46%.

Answer:

[tex] \frac{23}{50} = \frac{23 \times 2}{50 \times 2} = \frac{46}{100} = 46\%[/tex]

46% is the right answer.

Answer:

Stacy made £25.2 from the 18 loaves of bread. So She made £5.20 as a profit.

Step-by-step explanation:

18 loaves of bread × £1.4 = £25.2 Round it up = £25

£25.20 - £20 = £5.20 Round it up = £5

Stacy Made about £5 as profit.

Step-by-step explanation:

(x + 8) / (5x - 1) > 0

Multiply both sides by (5x - 1)², which is always positive for all real values of x in the domain.

(x ≠ 1/5)

=> (x + 8)(5x - 1) > 0

=> x < -8 or x > 1/5.

The answer is the 2nd option.

Answer: z = -3

Step-by-step explanation:

2/3z = -2

2z = -6 (Multiply both sides by 3)

z = -3 (Divide both sides by 2)

Answer:

10/8

Step-by-step explanation:

What you should do is awfully simple. Multiply 2 by 5 and put the product over 8.

(2 * 5)/8

10/8

The problem does say to leave my answer as an improper fraction, so 10/8 is the final answer.

Answer:

-2, 2

Step-by-step explanation:

those are the answers uwu

Answer:

7200

Step-by-step explanation:

100/(100-15) * 6120 = 7200

Answer:

A. the domain is all real numbers. and

B.the y-intercept is 3

Answer:

X = 3.

explanation is in the picture.

hope it helps.

Answer:

x = 3

Step-by-step explanation:

2(3x -5) + 3x + 3 = 20

^^ solve parenthesis

6x - 10 + 3x + 3 = 20

    +10                 +10

add ten to both sides

6x + 3x + 3 = 30

add like terms

9x + 3 = 30

      -3     -3

subtract 3 from both sides

9x = 27

divide both sides by 9

x = 3

Answer:

'-18' is the constant in the expression -18 - 3a​.

Step-by-step explanation:

We know that in an algebraic expression the constant term has a fixed value and it can not be changed.

For example,

The expression x + 2 contains two terms, x and 2. Here, '2' is a constant term because it has a fixed value and cannot be changed.

IN OUR CASE,

Given the expression

-18 - 3a​

As '-18' is a fixed number and its value can not be changed.

Therefore, '-18' is the constant in the expression -18 - 3a​.

Answer:

I'm guessing A, but am not sure, as for any number can go there if it's over 9!

Answer:

4

Step-by-step explanation:

2 molecules of SO2

each molecule contains 2 atoms of Oxygen

Answer:

Step-by-step explanation:

Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:

100 * (1+1.07)x = 400

Then we will take 400 and divide it by 100 getting:

1.07X = 4

Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X

Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.

2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula

where:

P (principal) is equal to hypothetical $100

E (e) is a mathematical constant, which is approximately 2.718

R (rate) is the interest rate, in our case it is 5.5%

T (time) is the time required for money to grow

A (amount) is the final amount desired, which is 4 times larger of $100, thus $400

We have the following:

400 = 100 * e0.055t

400/100 = e0.055t

4 = e0.055t

Then we will apply natural log to both sides of the equations and get the following:

ln(4) = ln(e0.055t)

Since e is the base of ln(x) the equation simplifies to:

ln(4) = 0.055t

Using the calculator to find ln(4) we are getting:

1.38629 = 0.055t

Lastly find t

t = 1.38629/0.055

t = 25.20535202

Plug the answers back to the original equation to verify the answers.

1st part of the question answer: t = 20.4895

2nd part of the question answer: t = 25.20535202

Answer:

As

ST is corresponding to XY

Hence, we conclude that:

Step-by-step explanation:

Given

△RST ≅ △TXY

To determine:

ST = ?

As

So the triangles △RST and △TXY are congruent to each other.

Please check the attached graph.

From the graph, it is clear that:

We need to determine ST

as

ST is corresponding to XY

i.e. ST = XY

Hence, we conclude that:

Answer:

a. 1 row

b. 6 people

Step-by-step explanation:

a. Each train has 7 rows yet the first train only had 6 rows filled up. This means that:

= 7 - 6

= 1 row was empty

b. Riders stand in rows of 6 which means that one row has 6 people. With only 1 row empty, the number of people needed will be:

= 6 people

Answer:

50,4 €

Step-by-step explanation:

De la pregunta anterior,

1 minuto = 16 €

3,15 minutos = x

Cruz multiplicar

x × 1 minuto = 16 € × 3,15 minutos

x = € 16 × 3,5 minutos / 1 minuto

x = 50,4 €

Por tanto, por una llamada de 3,15 minutos, Laura tendrá que pagar 50,4 €.

Answer:

1,000$

Step-by-step explanation:

::::::::::::::::::::::::::::)

Answer:

1.05x

Step-by-step explanation:

Answer:

g(x) = -1

Hope this helps.

Step-by-step explanation:

Answer:

x = -5

Step-by-step explanation:

If g(x) = 22 and g(x) = -4x + 2, then -4x + 2 = 22.

Isolate x.

-4x = 22 - 2

= -4x = 20

= x = 20 ÷ -4

= x = -5

Answer:

The graph

Step-by-step explanation:

The graph has a slope of 2 while the table has a slope of 1.

2-1/6/5=1/1=1

2>1

Answer:

32%

Step-by-step explanation:

(126060$-95500)/ 95500

30560/95500×100%

32%

Answer:

B - (0,0) is a solution to n = m and to n = 4m

Step-by-step explanation:

The only place where a number meets the same value multiplied by 4 is at (0,0). Otherwise it's just the same function just with a different slope