What is the area of this trapezoid?

Enter your answer in the box.

__ ft²

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ y = 6(x+1)^2-9\implies y = 6[x-(\stackrel{h}{-1})]^2\stackrel{k}{-9}\qquad \qquad \stackrel{vertex}{(-1~~,~~-9)}[/tex]

Answer:

3.5in

Step-by-step explanation:

so what i would do is i would divide 218.75 by 62.5

218.75/62.5= 3.5

3.5 in= 218.75 mi

hope that hepls :)

Jorge's momentum given his mass and the velocity while skateboarding is 135kg-m/s north.

Momentum can be described as the impetus that is gained by an object that is motion. Momentum is velocity multiplied by mass. When put simply, momentum can be described as mass in motion. Thus, when an object is moving, it has momentum.

Momentum velocity x mass

45 x 3 = 135kg-m/s north.

To learn more about momentum, please check: https://brainly.com/question/24030570

Answer:

y=-5

Step-by-step explanation:

Using the permutation formula, it is found that there are 17,297,280 different signals consisting of 8 flags.

In this problem, the order in which the flags are visited is important, hence the permutation formula is used to solve this question.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

The first flag is blue, then the remaining 7 are taken from a set of 14, hence:

[tex]P_{(14,7)} = \frac{14!}{7!} = 17,297,280[/tex]

There are 17,297,280 different signals consisting of 8 flags.

More can be learned about the permutation formula at https://brainly.com/question/25925367

Answer:

5 feet

Step-by-step explanation:

[tex]f(t) = 3 cos \bigg( \frac{\pi}{6} t\bigg) + 5 \\ \\ plug \: t = 9 \\ \\ \implies \: f(9) = 3 cos \bigg( \frac{\pi}{6} \times 9 \bigg) + 5 \\ \\\implies \: f(9) = 3 cos \bigg( \frac{3\pi}{2}\bigg) + 5 \\ \\\implies \: f(9) = 3 cos \bigg( \pi + \frac{\pi}{2}\bigg) + 5 \\ \\\implies \: f(9) = - 3 cos \bigg( \frac{\pi}{2}\bigg) + 5 \\ [ \because \: cos ({\pi}+\theta) = -\cos \theta]\\\\\implies \: f(9) = - 3 (0) + 5 \\ ( \because \: cos \frac{\pi}{2} = 0) \\ \\ \implies \: f(9) = 0 + 5 \\ \\ \implies \: \huge{ \orange{f(9) = 5 }}[/tex]

Answer:

I don't see the illustrations

Answer:

x = -1, y = 1

Step-by-step explanation:

Given that:

[tex]\begin{bmatrix}4x+11y=7\\ 4x+3y=-1\end{bmatrix}[/tex]

Isolate x for 4x + 11y = 7 which ⇒ [tex]x=\frac{7-11y}{4}[/tex]

Substitute [tex]x=\frac{7-11y}{4}[/tex] into the equation: which is:

[tex]\begin{bmatrix}4\cdot \frac{7-11y}{4}+3y=-1\end{bmatrix}[/tex]

Drop Down to:

[tex]\begin{bmatrix}7-8y=-1\end{bmatrix}[/tex]

Isolate y for 7-8y = -1: y = 1

Thus, [tex]x=\frac{7-11y}{4}[/tex]

Substitute y = 1

Hence,

[tex]x=\frac{7-11\cdot \:1}{4}=-1[/tex]

Solution ⇒ x = -1 and y = 1

~learn with lenvy~

Answer:

x = -1 , y = 1

Step-by-step explanation:

Starting with x

x = 7 - 11y/4

4 × 7-11y/4 + 3y = -1

7 - 8y = -1

Now for y

7-8y = -1 ⇒ y = 1

Hence, x = -1 and y = 1

[RevyBreeze]

Answer:

43 x 43  units      1849 units^2

Step-by-step explanation:

The largest area will be a square (equla sides)

   172 / 4 = 43

a square IS a rectangle

43  x   43

The capital market line with fee will be 0.3771 and the capital allocation line will be 0.24.

The slope of the capital market line will be:

= (17% - 7% - f)/27

= (10% - f)/27

f = 0.3771

The slope of the capital allocation line will be:

= (13% - 7%) / 25%

= 0.24

The reward to variability ratio will be:

= (17 -7)/27

= 0.3771

The client's reward to variability ratio will be:

= (13 - 7)/25

= 0.25

This shows that the client will be disadvantaged of the switch since it's lower.

Learn more about capital on:

https://brainly.com/question/25672041

Answer:

28/12 Samsung felo tee Samsung felo tee Samsung felo tee

Answer:

Wow thats hard

Step-by-step explanation:

though luck

Answer: 88

Step-by-step explanation:since we know 4 books are given each day and the total is 352 . 352 divided by 4 is 88

Answer:

the answer is 88

Step-by-step explanation:

352÷4=88

The number of handshake that took place is 28.

In any situation where order of an outcome does not matter, mathematical combination (C) are use calculate the total outcomes of an event.

8 people are to shake each other once. The concept to be use to derive the number of hands that took place is Combination.

The formulae of Combination for this Scenario is n(n-1)/2n(n−1)/2 .

The number of people (n) is 8.

\begin{gathered}Total handshake = n(n-1)/2\\Total handshake = 8 * (8-1)/2\\Total handshake = 8 * 7/2\\Total handshake = 56/2\\Total handshake = 28\end{gathered}Totalhandshake=n(n−1)/2Totalhandshake=8∗(8−1)/2Totalhandshake=8∗7/2Totalhandshake=56/2Totalhandshake=28

In conclusion, the number of handshake that took place is 28.

Answer:

28

Step-by-step explanation:
3 people
A B C
AB
AC
BC
3 total

4 people
A B C D
AB
AC
AD
BC
BD
CD
6 total

this can be modeled with
n*(n - 1)/2
8*(8 - 1)/2
8*3.5
28

Answer:

324

Step-by-step explanation:

21 + h = 345

group like terms

h = 345 - 21

h = 324

Answer:

h=324

Step-by-step explanation:

21+h = 345

(Substituting the equation)

h=345 - 21

h= 324

!!PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!

Answer:

get a book from shop and draw with ruler and write the numbers too

Answer:

multiply 3 or *3 that is 2*3=6

[tex]f(x) = \frac{3 + x}{x - 3} [/tex]

[tex]f(a + 2) = \frac{3 + a + 2}{a + 2 - 3} = \frac{a + 5}{a - 1} [/tex]

Answer:

Answer:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

Step-by-step explanation:

Standard equation of a circle:  \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2

(where (a, b) is the center and r is the radius of the circle)

Substitute the given center (-14, -5) into the equation:

\sf \implies (x-(-14))^2+(y-(-5))^2=r^2⟹(x−(−14))2+(y−(−5))2=r2

\sf \implies (x+14)^2+(y+5)^2=r^2⟹(x+14)2+(y+5)2=r2

Now substitute the point (-7, 5) into the equation to find r²:

\sf \implies ((-7)+14)^2+(5+5)^2=r^2⟹((−7)+14)2+(5+5)2=r2

\sf \implies (7)^2+(10)^2=r^2⟹(7)2+(10)2=r2

\sf \implies 149=r^2⟹149=r2

Final equation:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

Answer:

y=(x-1)

Step-by-step explanation:

Answer:

2923 is your p is equal to 2 and n

Answer:A

Step-by-step explanation:

When you translate you are simply moving the shape up, down, left right. You are not rotating it or chanding it's orientation.

Answer: the answer is B

Step-by-step explanation: B because it would’ve reflected off of the 1st quadrant on a grid so it would be facing the opposite direction.

Answer:

Domain= {4,p,3,7}

Range= {p,0,3,m}

Step-by-step explanation:

⇒Domain: is the set of the first number in every pair.

⇒Range: is the set of the second number in every pair

TO FIND THE DOMAIN: S= {(4,p),(p,0),(3,3),(7,m)}

so Domain= {4,p,3,7}

TO FIND THE RANGE: S= {(4,p),(p,0),(3,3),(7,m)}

so Range= {p,0,3,m}

Hope this helps :)

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

We should solve according to the order of operations, PEMDAS.

#1) Parentheses

#2) Subtraction

#3) Addition

The profit generated in terms of x is  −0.9x²+61.2x - 500

Given the following parameters

Revenue generated by a company = R=−0.9x²+90.2x

The cost to produce the mowers C(x) =  29x + 500

Determine the profit function

p(x) = R(x) - C(x)

P(x) = −0.9x²+90.2x  - (29x + 500)

P(x) = −0.9x²+90.2x - 29x - 500
P(x) = −0.9x²+61.2x - 500

Hence the profit generated in terms of x is  −0.9x²+61.2x - 500

Learn more on profit function here: https://brainly.com/question/25638609

Answer:

Step-by-step explanation:

5/8

Odds against event are 5:8

Means ration of not happening of work =

5/8

Sample space has 8+5=13 possibilities

Probability it being to work=

8/13

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