The base of a parallelogram is (2+3)units and the corresponding height is (2−3)units.Find the area of the parallelogram in terms of .What will be the area of the parallelogram if =units?

Answers

Answer 1

Answer:

In terms of x, the area is given by: [tex]A = 4x^2 - 9[/tex].

If x = 30 units, the area will be of 3591 units squared.

Step-by-step explanation:

Area of a parallelogram:

The area of a parallelogram of base b and height h is given by:

[tex]A = bh[/tex]

In this question:

We have that [tex]b = 2x + 3, h = 2x - 3[/tex].

So

[tex]A = (2x + 3)(2x - 3) = 4x^2 - 6x + 6x - 9 = 4x^2 - 9[/tex]

In terms of x, the area is given by: [tex]A = 4x^2 - 9[/tex]

If x = 30 units:

[tex]A = 4*30^2 - 9 = 4*900 - 9 = 3600 - 9 = 3591[/tex]

If x = 30 units, the area will be of 3591 units squared.


Related Questions

Janey paints a block of wood with gold glitter for an art project. The block measures 8 inches by 10 inches by 20 inches. After she’s done, she decides to make two blocks by cutting through the block on the red line. She still wants each block to be covered with gold glitter.


3. What is the total area Janey still needs to paint? Explain how you found your answer.

Answers

160 square inches

if the block is cut after it’s been painted, two sides with the same measurements don’t have glitter on them. you find the area of the one rectangle and multiply it by 2 as follows:
A = length • width
A = 10 • 8 = 80
area that needs to be covered = 80 • 2 = 160 square inches

Please write in slope intercept form I’m struggling

y+4=-7(x-3)

Answers

Answer:

y = -7x + 17

Step-by-step explanation:

you want to isolate the 'y' variable, start by distributing -7 on the right side

y + 4 = -7x + 21

now subtract 4 from each side

y = -7x + 17

Answer:

y=mx + b     y=-7x + 17

Step-by-step explanation:

Can someone solve it plz!!!

Answers

9514 1404 393

Answer:

  y = 0.2·0.5^x

Step-by-step explanation:

An exponential function is generally of the form ...

  y = a·b^x

where 'a' is the function value when x=0, and b is the ratio between values for x=1 and x=0.

In the given table, y = 0.2 for x = 0, so a = 0.2.

We find that the value for x = 1 is 0.1, so the value of b is ...

  b = 0.1/0.2 = 0.5

Then the exponential function is ...

  y = 0.2·0.5^x

If the diameter is 2 inches in the height is 15 inches what is the volume|PLEASE HElp

Answers

Answer:

Wanna ask Is it a cylinder?

...........

Leila runs 7 miles in 53 minutes.
How many minutes does she take per mile?

Answers

7 1/2 minutes to run a mile

Answer:

7.57142857143 minutes

Step-by-step explanation:

Over the course of 6 days Tonda ran 17.22 miles She ran the same distance each day How far did Tonga run each day ?

Answers

Work Progress: 17.22mile/6 days = 2.87

Tonda ran 2.87 miles each day.

Answer:

103.32

Step-by-step explanation:so what you need to do is times the decimals so: 17.22 x 6 = 103.32

Robin has a table full of supplies that she will use to decorate picture frames. She decorated one frame with 3 buttons and 12 bows. On her other frames, she also wants to use 2 types of items on each picture frame, but only if the 2 items have the same unit rate as the items on the first frame. Which of the pairs of items could Robin use for the other frames?

The anwser is 4 gems and 16 flowers and 7 stickers and 28 glue dots

Answers

4 gems and 16 flowers and 7 stickers and 28 glue dots

John is 5 years older than Sam and the product of their ages is 300. How old is Sam ?

Answers

Answer:

15 years old

Step-by-step explanation:

15 x 20 = 300

John = S + 5

Sam = 15

John = 20

Sam = 15

Answer:

the answer to your problem would be sam is 15 and John is 20

How many liters equal 24 gallons? [1 gallon = 3.785 liters]

90.84 liters
96.00 liters
181.68 liters
240.00 liters

Answers

90.84liters is the answer

Answer:

if 1g =3.785 then multiply by 24g = 90.84liters

The line passes through the point (-7,-5) and has slope of -8

Answers

Answer:

[tex]y=-8x-61[/tex]

Step-by-step explanation:

The slope-intercept form of the equation is y=mx+b where m is the slope and b is the y intercept. We know so far, that the slope is -8. We plug that in for m.

[tex]y=-8x+b[/tex]

Now, we need to find the y-intercept. The question gives us the point (-7,-5). We plug in -7 for x, and -5 for y.

[tex]-5=-8(-7)+b[/tex]

Then, we solve.

[tex]-5=56+b[/tex]

Subtract 56 from both sides.

[tex]-61=b[/tex]

Finally, we get this equation:

y=-8x-61

What is
4 over 14 minus 2 over 14 in its simplest form

Answers

Answer:

1/7

Step-by-step explanation:

4/14-2/14= 2/14= 1/7

Answer:

2/7 -  1/7 = 1/7

Step-by-step explanation:

tan^2 70° -sec^2 70°​

Answers

Answer:

-1

Step-by-step explanation:

We need to find the value of tan² 70° -sec² 70°​.

We know that,

[tex]\sec^2\theta-\tan^2\theta=1[/tex] ...(1)

We can write the given expression as :

tan² 70° -sec² 70° = -(-tan² 70° +sec² 70°)

=-(sec² 70°-tan² 70°)

Using identity (1)

=-(1)

= -1

Hence, the value of the given expression is -1.

Find the equation of the linear function represented by the table below in slope-intercept form.
x y
-1 8
2 -1
5 -10
8 -19

Answers

Answer:

y = -x -3

Step-by-step explanation:

y value is decreasing which means negative slope

you can use slope formula to find slope

(y2-y1)/(x2-x1) = m

(-4-(-2))/(1-(-1)) = -1

m = -1

you can find y -intercept by plugging in slope and one coordinate into y=mx+b

-2 = -1(-1) + b

b = -3

Andre says that 3 divided by 2/3 equals 4 and 1/3 because there are four groups of 2/3 and 1/3 left. Do you agree with Andre? Explain your reasoning.

Answers

Answer:

No I do not agree with Andre

Step-by-step explanation:

Andre says that 3 divided by 2/3

Solving for 3 ÷ 2/3

3 ÷ 2/3

= 3 × 3/2

= 9/2

= 4 1/2

Therefore, 3 divided by 2/3 is 4 1/2

Andre's reasoning is wrong.

Victory Theatre ofrece entradas por la mañana que son un 35% más baratas que las entradas para espectáculos nocturnos. Si un boleto nocturno cuesta $ 8.00, ¿cuánto cuesta un boleto de matiné?

Answers

La respuesta es 2.8 espero que esto ayude

Explain what is the difference between the solutions to 2x=10 and 2x > 10

Answers

Answer:

See explanation below

Step-by-step explanation:

Explain what is the difference between the solutions to 2x=10 and 2x > 10

Given the equations;

2x  = 10

x = 10/2

x = 5

For the equation 2x > 10

x > 10/2

x > 5

The first equation has only one solution which is 5 while the second equation has infinite number of solutions since the values of x can take any value that is greater than 5

Written as a simplified polynomial in standard form, what is the result when
(2x + 2)2 is subtracted from 1?

Answers

Answer:

[tex]1-(2x+2)^2=-4x^2-8x-3[/tex]

Step-by-step explanation:

Polynomials

Simplify the result of:

[tex]1-(2x+2)^2[/tex]

Expanding the square of the binomial:

[tex]1-(2x+2)^2=1-[(2x)^2+2(2x)2+2^2][/tex]

Operating:

[tex]1-(2x+2)^2=1-(4x^2+8x+4)[/tex]

[tex]1-(2x+2)^2=1-4x^2-8x-4[/tex]

Collecting like terms:

[tex]\boxed{1-(2x+2)^2=-4x^2-8x-3}[/tex]

if ​$450 is invested for one year at 14​% simple​ interest, how much interest is​ earned?
The simple interest is ​$ ___ ?

Answers

Answer:

63

Step-by-step explanation:

450 × 14 ÷ 100 = $63

hope this helps

Answer:

i think is 63

Step-by-step explanation:


Please see picture of question.

Answers

Answer:

I THINK ITS • 24+13π

Step-by-step explanation:

i hope it helps :)

A triangle has vertices at (1, 1), (1, 4), and (-3, 4).
What are the coordinates of the centroid?

Answers

Answer:

B, (-1/3, 3)

Step-by-step explanation:

This is the correct answer :)

Answer:

B, (-1/3, 3)

Step-by-step explanation:

Find The sum or difference. Simplify 3/16 + 7/16

Answers

the answer to this is 5/8
The answer above is also correct next time you’re doing this just make sure you check if there’s no mixed numbers and you divide those numbers or multiple depending on your question.

Help!!!
Solve for h:

6.1h = 2.44​

Answers

Answer:

h=0.4

Step-by-step explanation:

6.1h=2.44

h=2.44/6.1

h=0.4

A polynomial has zeros of -2 (with multiplicity 1) and 1 (with multiplicity 2). What is this
polynomial in STANDARD FORM? Fill in the blanks with coefficients. (It is OK to put a
negative number, or a 0 if there is not a term for that power on x).
y =
(+3.
+
²4
+
X +
Question 5

Answers

Your first step would be to unsolve the zeros, which would leave you with x-1, x-1, and x+2. Then arrange the zeros in the position of a factored polynomial, such as (x-1)(x-1)(x+2), and then FOIL the first two terms. You would then end up with, x^2-2x+1(x+2). After this just finish unfactoring the polynomial.

Your answer would be:
1x^3+0x^2+-3x+2

The points (0,4) and (1, 9) fall on a particular line. What is its equation in slope-intercept
form?

Answers

Answer:

The equation is y = 5x + 4.

--

Step-by-step explanation:

☆Remember: [tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

☆Slope-intercept: [tex]y = mx + b[/tex]

---

☆We need to find the slope first. So just plug in according to the slope formula!

[tex]m = \frac{9 - 4}{1 - 0} = \frac{5}{1} = 5[/tex]

---

☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.

[tex]y = mx + b \\ 9 = 5(1) + b \\ 9 = 5 + b \\ \frac{ - 5 = - 5 \: \: \: \: \: \: \: \: \: \: \: \: }{4 = b \: \: \: \: \: \: \: \: \: } [/tex]

---

☆Now all we need to do is plug in and we are done!

[tex]y = 5x + 4[/tex]

▪Happy To Help <3

Question
4-1 1/4=?

Plz help
Plz help
Plz help plz help

Answers

this is the answer for that question =3 3/4

Answer:

The answer is 2 ¾

Step-by-step explanation:

11/4 = 2 ¾

4 - 2 ¾ = 2¾

Do I just switch the coordinates, since it’s 1,-2 would it be -2,1?

Answers

Answer:

yes; (-2, 1)

Step-by-step explanation:

reflection over y = x means (x, y) → (y, x)

Consider the equation and the following ordered pairs: (−4,y) and (x,2).

y=2x+8
Step 1 of 2 : Compute the missing x and y values so that each ordered pair will satisfy the given equation.
Answer
Keyboard Shortcuts
Complete the table below.

x y
row 1−4 Answer

row 2 Answer
2

Answers

Answer:

(-4, 0) and (-3, 2)

Step-by-step explanation:

Substitute each value into the equation.

Since x = -4 in the first ordered pair, to find y, you just put it into the equation as x:

y = 2(-4) + 8

y = -8 + 8

y = 0

The first ordered pair is (-4, 0)

Now, do the same for the second ordered pair. Substitute 2 for the y and solve for x:

2 = 2x + 8

-6 = 2x

x = -3

The second ordered pair is (-3, 2)

I hope this helps!

The missing coordinates in the ordered pairs are (-4, 0) and (-3, 2).

What are ordered pairs?

An ordered pair (x, y) is used to represent the location of a point in coordinate geometry where x is the horizontal distance and y is the vertical distance of the point.

Given that, a line y = 2x+8, passes through two points (-4, y) and (x, 2) we need to find the value of x and y,

Since, the line is passing through the points therefore, the points will satisfy the equation of the line,

Put x = -4, in the equation,

y = 2(-4)+8

y = 0

So, the point is (-4, 0)

Put y = 2, in the equation,

2 = 2x+8

2x = -6

x = -3

So, the point is (-3, 2)

Hence, the missing coordinates in the ordered pairs are (-4, 0) and (-3, 2).

Learn more about ordered pairs click;

https://brainly.com/question/30805001

#SPJ2

AABC is translated 2 units right and 1 unit down
What is the new location of point C?

Answers

The answer is (4, -6), or the fourth option.

At a university, 73% of the students are undergraduates.
If there are 6,700 students, how many of them
are undergraduates?

Answers

Answer:

4,891 is your answer

Step-by-step explanation:

I am 99 percent sure this is correct.

Answer:

18,090

Step-by-step explanation:

change 73% to a decimal then multiply 0.73 times 67000 and u should get 48910 and then subtract that by 67000 - 48910 and u get 18,090 hope this helps

*Pleaase help*
Avery is saving up to buy a new jacket. She already has $80 and can save an additional $10 per week using money from her after school job. How much total money would Avery have after 4 weeks of saving? Also, write an expression that represents the amount of money Avery would have saved in ww weeks.

Savings after 4 weeks:

Savings after ww weeks:

Answers

Answer:

s=7w + 85..$141 in total for 8 weeks

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