Find the area of the parallelogram.
-
14 cm
14 cm
A= | cm2

Answer:

The area of the original garden is x^2 square feet.

The lengths of the sides of the new garden are x + 2 feet and x + 7 feet.

The area of the new garden, in square feet, is

[tex](x + 2)(x + 7)[/tex]

[tex] {x}^{2} + 9x + 14[/tex]

1) the area of his garden is, x² feet²

2) the lengths of the sides of the new garden are,

⇒ (x + 2)

⇒ (x + 7)

And, the area of the new garden is,

Area = x² + 9x + 14

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Farmer Bob has a small square garden that is x feet by x feet.

Now,

We know that;

Area of square = Side²

Here, Side = x feet

Hence, the area of his garden is,

Area = x × x

Area = x² feet²

Now, When He decides to add 2 feet to one side of the garden and 7 feet to the other side.

Then, the lengths of the sides of the new garden are,

⇒ (x + 2)

⇒ (x + 7)

Hence, the area of the new garden is,

Area = (x + 2) (x + 7)

Area = x² + 2x + 7x + 14

Area = x² + 9x + 14

Thus, 1) the area of his garden is, x² feet²

2) the lengths of the sides of the new garden are,

⇒ (x + 2)

⇒ (x + 7)

And, the area of the new garden is,

Area = x² + 9x + 14

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ3

Answer:

slope: 5/1x (or just 5x)

y-int: -3

Step-by-step explanation:

The y-intercept is (0,-3)

The slope of the line is 4

         [tex]\frac{y2-y1}{x2-x1} =\frac{2--3}{1-0} =\frac{5}{1} =5[/tex]

Hope it helps!

Answer:

Multiple of 4 = {4,8,12,16,20,24}

Step-by-step explanation:

d)

[tex] \frac{2 {x}^{2} - xy + 2xy - {y}^{2} }{6xy - 3 {y}^{2} } = \frac{x(2x - y) + y(2x - y)}{3y(2x - y)} = \\ [/tex]

[tex] \frac{(x + y)(2x - y)}{3x(2x - y)} = \frac{x + y}{3x} \\ [/tex]

_________________________________

e)

I think -6 should be +6

or +3x should be -3x

[tex] \frac{ {x}^{2} + 2x + x + 2 }{ {x}^{2} + 2x + 3x + 6 } = \frac{x(x + 2) + (x + 2)}{x(x + 2) + 3(x + 2)} = \\ [/tex]

[tex] \frac{(x + 1)(x + 2)}{(x + 3)(x + 2)} = \frac{x + 1}{x + 3} \\ [/tex]

Or

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

[tex] \frac{x + 1}{x - 3} \\ [/tex]

_________________________________

f)

[tex] \frac{ {a}^{2} - 5a - 4a + 20 }{ {a}^{2} - 5a + 2a - 10 } = \frac{a(a - 5) - 4(a - 5)}{a(a - 5) + 2(a - 5)} = \\ [/tex]

[tex] \frac{(a - 4)(a - 5)}{(a + 2)(a - 5)} = \frac{a - 4}{a + 2} \\ [/tex]

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️

Answer:

[tex](x^2)^\frac{1}{3}[/tex]

Step-by-step explanation:

1). [tex]\sqrt[n]{x}[/tex] = [tex]x^\frac{1}{n}[/tex]

Answer:Pythagorean therome

Step-by-step explanation:a^2+b^2=c^2

Answer:

45

Step-by-step explanation:

Answer:

Height = 108.35 cm

Step-by-step explanation:

Given :-

Radius = 26 cm

Total Volume = 230,000 cm³

To Find :-

Height

Formula Required :-

Volume (cylinder) = π x (radius)² x height

=> height = volume / π x (radius)²

Solving :-

h = 230,000 / (3.14 x 676)

h = 230,000 / 2122.64

Solution :-

Height = 108.35 cm

a os is correct.....,,..................

Answer:

d. number of students wearing blue shirts

Answer:

3,1

Step-by-step explanation:

Answer:

(3,1)

Step-by-step explanation:

Answer:

63 ft^2

Step-by-step explanation:

3x3 + 6x9 = 63 ft^2

Answer:

5/9 divided by 10

Step-by-step explanation:

Answer:

744

Step-by-step explanation:

solved on calcultor

Budget of a film = 1200

Money they spend on equipment :-

= 62% of total expense

= 62% of 1200

[tex]= \frac{62}{100} \times 1200[/tex]

[tex] = \frac{62 \times 1200}{100} [/tex]

[tex] = \frac{74400}{100} [/tex]

[tex]\color{purple}= 744[/tex]

Which means , the group of friends spent 744 on equipment .

Then , money they spent on costume :-

= 100 - 62 % of 1200

= 38% of 1200

[tex] = \frac{38}{100} \times 1200[/tex]

[tex] = \frac{38 \times 1200}{100} [/tex]

[tex] = \frac{45600}{100} [/tex]

[tex] \color{orange} = 456[/tex]

Which means the group of friends spent 456 on costumes .

Therefore , the group of friends spent 456 on costumes .

B. Square

There are numerous different types of squares in the world. A parallelogram with four congruent sides and four right angles is called a quadrilateral. There are two sets of parallel sides and four right angles in a square, so it is also a rectangle. Because the sides of a square are parallel, it is also a parallelogram.

D. I and IV

[tex]The\ statement\ is\ always\ true\ is\\ I\ All\ square\ is\ a\ rectanjile\ and\ IV\ Any\ two\ opposite\\ -sides\ of\ a\ perallelogran\ are\ parallel[/tex]

[tex]So\ Chase\ D[/tex]

{[tex]{A\ souare\ is\ a\ special\ rectangle[/tex]

B. 500 cm²

Calculate area of the rectangle:

[tex]\curvearrowleft\\ area=500[/tex]

I hope this helps you

:)

The point on a number line is the location of the point.

The points are given as:

x = 10 and x = 0

This means that we mark a point at the point 10 on the number line, and another point at the point 0 on the same number line

However, the point 0 would come before point 10 because 0 is less than 10

See attachment for the number line

Read more about number lines at:

https://brainly.com/question/10851163

Answer:

2400 candies

Step-by-step explanation:

2 hrs - 80 boxes w/ 10 candies each = 800 candies

2 x 3 = 6

800 x 3 = 2400

So:

In 6 hours, the candy maker can make 2400 candies.

Hope this helped!

Answer:

2400 candy thank me later

(12, 5)

equations:

To solve with elimination, either the x or y coefficient should be similar.

Then,

[tex]\sf 3x-5y=11[/tex]

[tex]\sf 3x-12y=-24[/tex]

==============       [ subtract equation 2 from equation 1 ]

[tex]\sf 7y = 35[/tex]

[tex]\sf y = 5[/tex]

For x,

[tex]\sf 3x-5(5)=11[/tex]

[tex]\sf 3x-25=11[/tex]

[tex]\sf 3x=11+25[/tex]

[tex]\sf x=\dfrac{36}{3}[/tex]

[tex]\sf x=12[/tex]

In ordered pair: (x,y) → (12, 5)

Step-by-step explanation:

500 hundred students attend McCord Middle School.

Answer:

the answer is C: 500 students

Step-by-step explanation:

A) The experimental probabilities are:

R = 0.45, B = 0.4, and Y = 0.15

From this, we can expect to get a red ball on the next draw.

B) This can happen because the experimental probabilities are bad estimations, or because the balls on the machine are not replaced.

A) The probability of getting each color will be given by the quotient of the number of balls of that color and the total number of balls.

For example, we know that 100 people buy gumballs, and 45 of them got red ones, so the experimental probability of getting a red gumball is:

R = 45/100 = 0.45

40 got a blue ball, so the probability of getting a blue ball is:

B = 40/100 = 0.4

15 got a yellow gumball, so the probability here is:

Y = 15/100 = 0.15

As you can see, the experimental probability of getting a red gumball is 3 times the probability of getting a yellow one. based on that, we can expect that the next gumball out from that machine will be red.

B) So now 10 more people go to the machine, and they get:

7 yellow, 1 red, and 2 blue gumballs.

This clearly does not follow the experimental probability we got above, why this may happen?

There are two main reasons.

First, to get a valuable experimental probability an experiment must be performed a lot of times, 100 is a ratter a small number. So the experimental probability that we got on point A may be a really bad estimation.

On another hand, there is a possibility that the gumballs in the machine are not being replaced. So initially, there is a fixed number of red, yellow, and blue balls.

This would mean that if we remove one red ball on the first try. Then for the next try, the probability of getting a red ball will be smaller (because now the machine has fewer red balls).

Then, because out of the 100 first balls most were red or blue, we can assume that most of the remaining balls on the machine are now yellow, and then the probability of getting a yellow ball is increased.

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

https://brainly.com/question/251701

[tex]Answer:[/tex]

The line stops at 100/900.

Hope this helps, have a great day! ♣

Using an exponential function, it is found that f(5.5) = 19.8.

An exponential function is a function in which the growth rate is a percentage, modeled by:

[tex]y = ab^x[/tex]

In which:

f(3.5) = 25 means that:

[tex]ab^{3.5} = 25[/tex]

[tex]a = \frac{25}{b^{3.5}}[/tex]

f(8.5) = 14 means that:

[tex]ab^{8.5} = 14[/tex]

Hence:

[tex]\frac{25}{b^{3.5}} \times b^{8.5} = 14[/tex]

[tex]25b^5 = 14[/tex]

[tex]b = \sqrt[5]{\frac{14}{25}}[/tex]

[tex]b = 0.89[/tex]

[tex]a = \frac{25}{0.89^{3.5}} = 37.59[/tex]

Hence, the function is given by:

[tex]y = 37.59(0.89)^x[/tex]

Then, when x = 5.5:

[tex]f(5.5) = 37.59(0.89)^{5.5} = 19.8[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

Step-by-step explanation:

19.83

Answer:

fourth graph in second pic

Step-by-step explanation:

first lets substitute points to see whether the graph increases or decreases

sooo

y = -2(2^0)

y = -2

(0, -2)

y = -2(2^1)

y = -4

(1, -4)

y = -2(2^2)

y = -2(4)

y = -8

(2, -8)

with these points we can tell that the graph is decreasing, since there is two graphs decreasing, we can use the points to see if the parabola lies on the points (i think its called parabola)

its the last graph. fourth graph on page 2

Answer:

x = 6°

Step-by-step explanation:

We know that all the interior angles of a triangle sum up to 180°.

(7x+3)°+(80°)+(55°) = 180°

(7x+3)°+(135°) = 180°

(7x+3)°= 45°

7x = 42°

x = 6°

Answer:

The negative signs were switched. This is the answer.

Answer:

x = 1 and

x = 3

Step-by-step explanation:

The solution is the x for each row where the f(x) and g(x) are the same. When x is 1, f(x) and g(x) are both 0.

When x is 3, f(x) and g(x) are both 6.