The preimeter of the rectangle is 154 feet.The length of the rectangle is 55 feet.What is the width of the rectangle.

9514 1404 393

Answer:

  y = x^2 +2x -8

Step-by-step explanation:

For x-intercepts p and q, factors of the parabola's equation are (x-p) and (x-q). Since the leading coefficient is 1, those are the only factors.

  y = (x -2)(x -(-4))

  y = (x -2)(x +4) = x(x +4) -2(x +4) . . . . use the distributive property

  y = x^2 +4x -2x -8 . . . . use the distributive property again

  y = x^2 +2x -8 . . . . . . . .equation in standard form

Answer:

30 minutes

Step-by-step explanation:

Alright lets start by laying out what the problem gives us :

A plane flies 620 mph.

It is asking how long it will take to travel 310 miles.

We need to give our answer in minutes or hours.

So lets take mph and look at the full meaning "Miles per hour"

An hour has 60 minutes in it.

So really it is saying miles per 60 minutes as well as miles per hour

So you could say the plane is traveling 620 miles every 60 minutes.

So now lets look at the number 310.

Just looking at it I can tell you that 310 looks very close to half of 620, in fact it is exactly half!

So lets divide the 620 mph by the 310 miles it is asking and we get 2! Proving that 310 is half of 620.

Alright now lets divide both the number of miles and number of minutes :

620 miles per 60 minutes

divided by 2 both miles and minutes

310 miles per 30 minutes

So this is your answer. After this you get that it would take 30 minutes to travel 310 miles in a plane going 620 miles per hour!

I hope this helps and I could help you understand it. :)

If you have any questions feel free to comment or dm me.

Answer:

I think its, x = 2?

Step-by-step explanation:

Im not quite sure.... Sorry if i get it wrong

78

Step-by-step explanation:

Answer:

yes, it is x=1/5

Step-by-step explanation:

i can give you the steps if you want

Answer:

The question is unclear. Please provide the table.

Answer:

-8y

Step-by-step explanation:

-9t +5y -7y + 3y

-4y-7y+3y

-11y+3y

-8y

Answer:

-8y

Step-by-step explanation:

-9y + 5y - 7y + 3y

-9y -7y + 5y + 3y

-16y + 8

-8y

Answer:

D

Step-by-step explanation:

.06 =6%

The expression p(1.06)^t represents D. the yearly growth rate of the population is 6%

The country's yearly average rate of change in population size over a certain time period. It expresses the proportion, growth in population size, and the total population for that year.

Given, The population of a city can be modeled by the expression

[tex]p(1.06)^t[/tex] where t represents the number of years.

This describes the yearly growth rate of the population is 6%.

If in the previous year the population was 100 this year it'll be 106 and next year it'll be 106% of 106 which is 112.36.

learn more about population growth here :

https://brainly.com/question/18415071

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Answer: x^3 / x^3 - a^2y

Step-by-step explanation: Simplify the expression.

I hope this helps you out!

Answer:

I got x<2 but that's not an option

Step-by-step explanation:

5(x+5) <35

5x+25<35

5x<10

x<2

Answer: y – 3 = –1/7(x – 3)

Answer:

a.

Step-by-step explanation:

this is a y = mx + b equation

the “B” is the y-intercept. So look where the line crosses the 6 axis. The equation says -1. Right away, there are only two answers that could possibly be it. A and B. The Lines both cross at -1 on the y-axis.

the ”mx“ part of the equation is the slope. Slope is the change in y over the Change in x.

in other words:

y1-y2

———

x1-x2

another thing is that slope in this equation is negative. This means the line is decreasing or going/pointing down. The only possible answer is a.

Answer is Opition A

That is x + 2y2 - 7

Hope it is useful

Answer:

x + 2y2 - 7

Step-by-step explanation:

Ape-x

Answer:

[tex]x>-6[/tex]

Step-by-step explanation:

[tex]-4x-12<12[/tex]

[tex]-4x-12+12<12+12[/tex] (Add [tex]12[/tex] to both sides of the inequality to isolate [tex]x[/tex])

[tex]-4x<24[/tex] (Simplify)

[tex]\frac{-4x}{-4}<\frac{24}{-4}[/tex] (Divide both sides of the inequality by [tex]-4[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x>-6[/tex] (Simplify, don't forget to flip the sign of the inequality when multiplying or dividing by a negative number)

Hope this helps!

Answer:

$11 sales tax per $200

Step-by-step explanation:

1375/25,000 = 11/200

Answer:

5.5%

Step-by-step explanation:

1375/25000= 5.5%

25000 * 5.5% = $1375.00

Answer:

Wait why

Step-by-step explanation:

I don't understand can you ask your parents or friends. I don't give strangers money.

Answer: The function is *growing* exponentially at a rate of *0.85%* every *year*

Step-by-step explanation:

The function is growing exponentially at a rate of 0.85% every year.

The exponential decay equation is given by:-

y = (1 ± r)ⁿ

Where r is the rate of decay and A is the initial amount and n is the time period.

The function is given in the question below as:

The function f(t) = 390(1.0085)³⁶⁵ ....(i)

This represents the change in quantity over t days.

As per the given exponential decay equation,

⇒ f(t) = 390(1.0085)³⁶⁵

We can above function rewrite as:

⇒ f(t) = 390(1 + 0.0085)³⁶⁵

⇒ f(t) = 390(1 + 0.85/100)³⁶⁵

⇒ f(t) = 390(1 + 0.85%)³⁶⁵

Compare to the standard exponential decay equation, and we get

⇒ r = 0.85%

Therefore, the function is growing exponentially at a rate of 0.85% every year.

Learn more about exponential growth and decay here:

brainly.com/question/2193820

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Answer:

238 should be the answer

Step-by-step explanation:

Answer:

5x+20=55

5x=55-20

x=30/5=7

Answer:

x = 7

Step-by-step explanation:

5x + 20 = 55

     - 20    - 20

5x (÷5) = 35 (÷5)

x = 7

Answer:

-5/4

Step-by-step explanation:

slope = -4 - (-29) / -10 - 10

slope = 25 / -20

slope = -5/4

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

[tex] \underline{ \underline { \text{To \: Find}}} : [/tex]

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by [tex] \sf{ {A}^{T}} [/tex]. Again , Interchange it's rows and columns in order to find ' A '.

[tex] \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}[/tex]

Now , LEFT HAND SIDE ( L.H.S )

[tex] \tt{ {A}^{2} - 5A+ 22I}[/tex]

Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.

⟼ [tex]\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}[/tex]

⟼ [tex]\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]

⟼ [tex]\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]

⟼ [tex] \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]

⟼ [tex]\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]

⟼ [tex]\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}[/tex]

⟼ [tex]\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}[/tex]

⟼ [tex] \sf{0}[/tex]

RIGHT HAND SIDE ( R.H.S ) : 0

L.H.S = R.H.S [ Hence , proved ! ]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Answer:

Step-by-step explanation:

\underline{ \underline{ \text{Given}}} :

\begin{gathered} \tt{ {A}^{T} = \begin{bmatrix} 2 & - 4 \\ 4 & 3 \\ \end{bmatrix}}\end{gathered}

\underline{ \underline { \text{To \: Find}}} :

\underline{ \underline{ \text{Solution}}} :

The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by \sf{ {A}^{T}}

. Again , Interchange it's rows and columns in order to find ' A '.

\begin{gathered} \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}\end{gathered}

Now , LEFT HAND SIDE ( L.H.S )

\tt{ {A}^{2} - 5A+ 22I}

Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.

⟼ \begin{gathered}\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}\end{gathered}

⟼ \begin{gathered}\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}

⟼ \begin{gathered}\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}

⟼ \begin{gathered} \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}

⟼ \begin{gathered}\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}

⟼ \begin{gathered}\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}\end{gathered}

⟼ \begin{gathered}\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}\end{gathered}

⟼ \sf{0}0

RIGHT HAND SIDE ( R.H.S ) : 0

Answer:

well first 312 in radical form is  √312 and that simplified is 2√78 or 17.66352173

Step-by-step explanation:

Answer:

151,000

Step-by-step explanation:

Answer:

-2

Explanation:

-6 x -2 = 12

12 - 3 = 9

Answer:

p=-2

Step-by-step explanation:

Move the -3 to the other side by adding 3 on both sides:

-6p-3+3=9+3

The equation now looks like this:

-6p=12

Divide -6 on both sides:

-6p/-6=12/-6

The equation now looks like this:

p=-2 which is the answer

Hope this helps!

Answer:

(x + 10)(x + 8)

Step-by-step explanation:

Given

x² + 18x + 80

Consider the factors of the constant term (+ 80) which sum to give the coefficient of the x- term (+ 18)

The factors are + 10 and + 8 , since

10 × 8 = + 80 and 10 + 8 = + 18 , then

x² + 18x + 80 = (x + 10)(x + 8) ← in factored form

Answer: y = -4x

Step-by-step explanation: You would use the formula y = mx + b to solve your problem. When you plug the numbers in, you get y = -4x. There would be no "+ b" because in this case, the y-intercept (b) is equal to zero. Therefore, you would not need to write "y = -4x + 0" because that would not be the equation in its simplest form.

9514 1404 393

Answer:

  WHOOSIER COACH

Step-by-step explanation:

Linear pairs are supplementary. Vertical angles are congruent. An angle is the sum of its parts.

(a) C: supplementary to 138°, 180° -138° = 42°

(b) O: congruent to 138°

(c) R: supplementary to 32°, 180°-32° = 148°

(d) H: congruent to 32°

(e) S: complementary to 28°, 90° -28° = 62°

(f) O: supplementary to 122°, 180° -122° = 58°

(g) W: congruent to 122°

(h) C: supplementary to 28°, 180° -28° = 152°

(i) I: supplementary to 60°, 180° -60° = 120°

(∠TSW) E: supplementary to a right angle: 180° -90° = 90°

(∠TSU) O: half the complement of 20°, (90° -20°)/2 = 35°

(∠USW) H: complement of ∠TSU, 90° -35° = 55°

(∠RSV) A: supplement of ∠VSW = 180° -35° = 145°

__

The desired order of the letters corresponds to the sequence of angles ...

  122°, 55°, 58°, 35°, 62°, 120°, 90°, 148°, 71°, 152°, 138°, 145°, 42°, 32°

  WHOOSIER_COACH