What is the slope of a line perpendicular to the line whose equation is
5x – 2y = -10. Fully simplify your answer.

Answer:

Step-by-step explanation:

Given, The length of a rectangle is 10 ft less than three times the width, and the area of the rectangle is 77 ft²

Let's assume width of rectangle be x feet and Length of rectangle be 3x - 10. Using the formula of area of the rectangle we'll find the dimensions of the Rectangle.

[tex] \\ \dashrightarrow{ \red{\underline{\underline{\sf{Area (rectangle) = Length \times width }}}}} \\ \\ [/tex]

Substituting the required values:

[tex]\dashrightarrow \: \: (3x-10)(x) = 77 \\ [/tex]

[tex]\dashrightarrow \: \: 3x^2 - 10x = 77 \\ [/tex]

[tex]\dashrightarrow \: \: 3x^2 -10x -77 = 0 \\ [/tex]

[tex]\dashrightarrow \: \:3x^2 + 11x -21x -77 = 0 \\ [/tex]

[tex]\dashrightarrow \: \: x(3x+11)-7(3x+11) = 0 \\ [/tex]

[tex]\dashrightarrow \: \: (x-7)(3x+11) = 0 \\ [/tex]

[tex]\dashrightarrow \: \: { \red{\underline{\underline { x = 7 \: or \: \dfrac{-11}{3}}}} } \\ \\ [/tex]

Hence,

[tex] \therefore[/tex] The required dimensions of rectangle are 11 feet and 7 feet.

The dimensions of the given rectangle with an area of 77 ft^2 and given dimensions are; Length = 11 ft and Width = 7 ft

Formula for area of a rectangle is;

A = Length * Width

We are given;

Length; L = 3W - 10

Thus;

Area; A = W(3W - 10)

Thus;

W(3W - 10) = 77

3W² - 10W - 77 = 0

Using online quadratic equation calculator, we have;

W = 7

Thus;

L = (3*7) - 10

L = 11 ft

Read more about Rectangle Area at; https://brainly.com/question/13048427

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Answer:

The answer is D

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary.

A statistical question is one that can be answered by collecting data and where there will be variability in that data

The only one that can have a variety of answers is the last one.

A, B, and C are countable and do Not Vary or change in amount they remain the same. There will always be 12 months in a year. 3 wheels on a tricycle and the amount of stripes in the flag will not change. If the question ask something that can change or vary it is a Statistical question. Like for example "How many minutes do 6th grade students typically spend on homework each week?" and  “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.

A Good Statistical Question Produces Data with Variability

A statistical question is one that requires the collection of data with expected variability in it. The data collected changes in value. You can quantify them. If the data could not be measured, then you have to think it over again.

Answer:

  8r^4 -16r^2

Step-by-step explanation:

Use the distributive property to eliminate parentheses. Write the result in order of decreasing powers of the variable.

__

  8r^2(r^2 -2) = (8r^2)(r^2) +(8r^2)(-2)

  = 8r^4 -16r^2

Answer:

8, 4, 0, -3, -5

(greatest to least order)

-Answer: C-

Step-by-step explanation:

8 is positive so its greatest

-5 is negative but it is farthest away from 0 so it is least

Answer:

c

Step-by-step explanation:

c

Answer:

its A!!!

Step-by-step explanation:

Answer:

the answer to your question is -27

-27

Hope it helps.

Do comment if you have any query.

Answer:

25(p+25q)

Step-by-step explanation:

50 and 25 have 25 in common so you divide that out of the equation

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

Step-by-step explanation:

160 posts = 266 followers

then,

1 posts = 266/160

= 2.50 followers

Answer:

Area = 12 + 6.25π ft², Perimeter = 6 + 5π ft

Step-by-step explanation:

Area:

So I would break this shape into a triangle and a circle (the two semi-circles make a full circle).

Formula for Area of a Triangle: base · height ÷ 2

6 · 4 ÷ 2 = 24 ÷ 2 = 12

Formula for area of a circle: π · radius²

π · (5/2)² = 6.25π

Area of entire shape: Triangle + Circle

Area = 12 + 6.25π ft²

Perimeter:

So the perimeter is made up of the base of the triangle plus the circumference of the circle.

Base of Triangle: 6

Formula for circumference: 2rπ

5 · π = 5π

Perimeter = 12 + 5π ft

Step-by-step explanation:

a circle with r=6 so the area for the circle is π*r^2

and the area for the rectangle in the meddle is 18*12 which 12 is the height of the rectangle

and the area for that shape equals the area for the circle plus the area for the rectangle

Answer:

8/5 = 8/5

1/2 = 6/12

7/3 = 7/3

Step-by-step explanation:

1/4=5/10

5/10 = 1/2

False

8/5=8/5

True

9/8=7/8

False

1/2=6/12

6/12 = =1/2

True

7/3=7/3

True

9/10=10/9

False

Answer:

I can help!! answer in image

Step-by-step explanation:

Have a great day sir

By dividing the figure into a rectangular prism and a pyramid, we will see that the total volume is 2,400 ft^3

We can divide the given figure into two simpler ones.

A rectangular prism of 20 ft by 10 ft by 10 ft, whose volume is the product of these dimensions:

V = 20ft*10ft*10ft = 2,000 ft^3

And a pyramid of 4 sides, with a height of 6ft and a base of 20ft by 10ft, and we know that the volume of the pyramid is one-third of the product between the base and the height.

V' = (1/3)*6ft*(20ft*10ft) = 400ft^3

Then the total volume of the given figure is:

volume = V + V' = 2,000ft^3 + 400ft^3 = 2,400 ft^3

If you want to learn more about volumes, you can read:

https://brainly.com/question/1972490

Answer:

[tex](6\times 4)^3 = 6^3 \times 4^3[/tex]

Step-by-step explanation:

Answer:15h

Step-by-step explanation: because 8m+7m = 15h and the side the H is on is way bigger than the other sides so thats how you know your supposed to add.

Answer:

P = 184 yards

C = 175.84 centimetres

P = 212 m

Step-by-step explanation:

P = 2(150 yards) + 2(92 yards)

P = 300 yards + 184 yards

P = 184 yards

C = 2(3.14) × (28 centimetres)

C = 6.28 × (28 centimetres)

C = 175.84 centimetres

P = 104 m + 32 m + 76 m

P = 212 m

Answer:

Directly proportional

Step-by-step explanation:

Answer: 1/3

You can find the complete solution in the given attachment

I hope It helped you

Answer:

the most closest answer is D because the formula is 3.14 x radius² x height

Step-by-step explanation:

if its right can I have brainliest

Answer:

x+y=0

8+y=0

y=8

Step-by-step explanation:

correct me if I'm wrong

Answer:

D. 44

Step-by-step explanation:

y = (8 x 5) +4

y= 40 + 4

y= 44

Answer:

Bob

Step-by-step explanation:

Answer:

..............................

Answer:

Many newspaper reporters ignored the success of Black players and wrongly judged their actions

Step-by-step explanation:

its correct i swear its the right answer i bet you 100 brainly coins

Do you think you could attach a photo?

Hello-

Here is the way that I learned to multiply decimals. First, remove the decimal points.

2.37 X 1.6

237 X 16

Then you multiply the numbers.

237 X 16 = 3792

Now, we move the decimal point three places to the left on our answer.

3.792

3.792 is our answer.

Here we would be using distance formula to calculate the distance between those two points.

Points are,

★ Distance Formula :

We have :

Substituting the values :

Centroid of a triangle :-

Midpoint of two points:-

Answer:

[tex]f(x) = -x^2 - 2x + 8[/tex]

y-intercept is when x = 0:

[tex]\implies f(0) = -(0)^2 - 2(0) + 8=8[/tex]

So the y-intercept is (0, 8)

x-intercepts are when f(x) = 0:

[tex]\implies f(x)=0[/tex]

[tex]\implies -x^2 - 2x + 8=0[/tex]

[tex]\implies x^2 + 2x - 8=0[/tex]

[tex]\implies x^2 - 2x + 4x - 8=0[/tex]

[tex]\implies x(x - 2) + 4(x-2)=0[/tex]

[tex]\implies (x+4)(x - 2)=0[/tex]

Therefore:

[tex]\implies (x+4)=0 \implies x=-4[/tex]

[tex]\implies (x-2)=0 \implies x=2[/tex]

So the x-intercepts are (-4, 0) and (2, 0)

The vertex is the turning point of the parabola.  The x-value of the vertex is the x-value between the 2 zeros (x-intercepts).

Therefore, the x-value of the vertex is [tex]\sf \dfrac{x_1+x_2}{2}=\dfrac{-4+2}{2}=-1[/tex]

Substituting x = -1 into the function:

[tex]\implies f(-1) = -(-1)^2 - 2(-1) + 8=9[/tex]

So the vertex is (-1, 9)

The domain is the input values, so x = all real numbers.

The range is the output values, so the range is [tex]f(x)\leq 9[/tex]

Therefore, (-4, 0), (-1, 9), (0, 8) and (2, 0) are solutions of the function, HOWEVER they are not ALL the solutions.

All solutions of the function are:

[tex](x, -x^2 - 2x + 8)[/tex] for all real numbers of x

Answer:

I think this Cyclic quadrilateral 180degree

Answer:

How much is 240 in into ft 20 ft

Step-by-step explanation:

hope this helps