Area of a square is 196 cm²

. Find the perimeter of the square. (ii) If the square is altered into a rectangle by increasing the length by x

centimeters, and decreasing the breadth by y centimeters, find the area of

the rectangle in terms of x and y.​

Answers

Answer 1

Step-by-step explanation:

Area of Square=side²

Side=√(Area of the square)

Given area of the square=196cm²

Side of the square=√196=14cm

Perimeter of square=4*side=4*14=56cm

Length of the rectangle=(14+x)cm

Breadth of the rectangle=(14-y)cm

Area of rectangle=Length*Breadth=

(14+x)(14-y)=14(14)+14(-y)+x(14)+x(-y)=(196-14y+14x-xy)cm²


Related Questions

Math: If f(x) = 2x^2 - 5x - 15, what is f(-3)? *
O
24
42
18
3

Answers

Step-by-step explanation:

1 rst. 2 x2-5x-15 da 18 rest

Kayden is a teacher and takes home 100 papers to grade over the weekend. He can grade at a rate of 6 papers per hour. How many papers would Kayden have remaining to grade after working for 10 hours?

Answers

Answer:

40 papers

Step-by-step explanation:

6 x 10 = 60

100- 60 = 40

What happens to the function f(x)=(x−1)2+1 when it becomes f′(x)=(13x−1)2+1?
It is compressed toward the y-axis.
It is stretched away from the x-axis.
It is compressed toward the x-axis.
It is stretched away from the y-axis.

Answers

I think the answer is the last one

     Option (2). function f will be stretched away from the x-axis to form the image function f'.

Rule for the transformation of a function:  For a function is given by,

          f(x) = a(x - h)² + k

          If a > 1, graph of the function will be stretched vertically (towards  

          y-axis or away from the x-axis).

          If 0 < a < 1, graph of the function will be compressed vertically

          (towards x-axis or away from the y-axis)

Function given in the question,

f(x) = (x - 1)² + 1

Transformed function → f'(x) = (13x - 1)² + 1

                                        [tex]f'(x)=13(x-\frac{1}{13})^2+1[/tex]

By applying rule of the transformation,

a = 13 and 13 > 1

Therefore, function will be stretched vertically away from the x-axis.

      Hence, Option (2) will be the answer.

Learn more about the transformations here,

https://brainly.com/question/19279703

Write the expression in repeated multiplication form. Then write the expression as a power. (-8)^3*(-8)^4 The expression in repeated multiplication form is... can someone help me im kinda confused

Answers

Given:

The expression is

[tex](-8)^3\cdot (-8)^4[/tex]

To find:

The expression in repeated multiplication form and then write the expression as a power.

Solution:

We have,

[tex](-8)^3\cdot (-8)^4[/tex]

The repeated multiplication form of this expression is

[tex]=[(-8)\cdot (-8)\cdot (-8)]\cdot [(-8)\cdot (-8)\cdot (-8)\cdot (-8)][/tex]

[tex]=(-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)[/tex]

Clearly, (-8) is multiplied seven times by itself. So,

[tex]=(-8)^7[/tex]

Therefore, the repeated multiplication form of the given expression is [tex](-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)[/tex] and the expression as single power is [tex](-8)^7[/tex].

What is the straight-line distance between (-2, -7) and (-4, -9) on a coordinate graph?

Answers

Answer:

yeah, the selected is correct

Step-by-step explanation:

distance is...

2 and 2 square root

Pls help!!!! Pic attached

Answers

I’m not sure but have you tried 7?
y=10
all you have to do is substitute the numbers given
hope this helps :)

Please HELP ME T-T Roxxane all she wanna do is party all night

Answers

Answer:

Step-by-step explanation:

{-1,0,1,2}

What is the square root of -16

Answers

Answer:

The square root of -16 is 4 i

Answer:

You can't but if it was 16, not -16 it will be 4.

Step-by-step explanation:

Justin and his friends went to a movie that started at 7:35 p.m. Justin got home 50 minutes after the movie ended. What time did Justin get home? (elementary not highschool)

Answers

Answer:

There is no set length for the movie, but usually they're about 2 1/2 hrs so probably 10:55?

66 POINTS FOR THIS QUESTION!!! There are 48 students in a school play. The ratio of boys to girls is 5:7. How many more girls than boys are in the play?

Answers

5+7=12
48/12=4
7-5=2
2x4=8
8 more girls

What is the slope of these ordered pairs (3,-4(6,1)

Answers

Answer:

The slope would be 5/3

Step-by-step explanation:

Let me know if u have to simplify it

2.
Write an equation of a line with the given slope and y-intercept.

m = 1, b = 4


A. y = –1x + 4


B. y = 4x + 1


C. y = x + 4


D. y = x – 4

Answers

This answer to this is C. y=x+4

Answer:

the answer is C

Step-by-step explanation:

You would take and the y axis would equal x since the m is 1 it would just be x and then since you have the 4 you would just add it to the y=x and then it would be y=x+4

help i don’t get this

Answers

Answer:

0.42

Step-by-step explanation:

4.2 * 1/10 = 4.2/10

= 0.42

Graph the solution to the following linear inequality in the coordinate plane.
2x + y > 4

Answers

Answer:

Step-by-step explanation:

Answer:

Please refer to the attachment

Hope it helps

Pls mark me as the brainliest

Thank you

Y'all need help here​

Answers

Answer:

A

Step-by-step explanation:

Answer:

b. 1 inch : 5 miles is sure

A car is driving down a long Steep Hill the elevation above sea level in feet of the car when it is D miles from the top of the hill is given by any equals 7500 - 250 D where D can be any number from 0 to 6 find the slope and intercepts of the graph of this function explain what they mean in the context of the moving car​

Answers

Answer:

This task would be especially well-suited for instructional purposes. Students will benefit from a class discussion about the slope, y-intercept, x-intercept, and implications of the restricted domain for interpreting more precisely what the equation is modeling.

One potential confusion students may have follows from the subtle difference between what the car is doing and the idea of slope as the ratio between the change in vertical distance on the graph and the change in horizontal distance on the graph. Because the car is traveling one mile on a down-hill slope, the situation could be represented as a right triangle with a hypotenuse of 5,280 ft and a leg of 250 ft; using the Pythagorean Theorem they would find that the other leg is approximately 5,274 ft. Following through on this interpretation, a student might conclude that the car travels a horizontal distance of approximately 5,274 ft for every 250 ft in vertical distance and arrive at a slope of approximately -0.047. While this is, in some sense, the slope of the hill, it is not the slope of the function as described. This interpretation yields numbers that are very close to the situation described in the task, yet conceptually different since the distance traveled by the car would now be expressed in terms of horizontal distance traveled as opposed to distance along the slope of the hill to compute the elevation. If students do indeed pursue this line of reasoning, the task provides an opportunity to compare and contrast the graph of the function and what it represents with a drawing of the hill and the vertical and horizontal distances traversed with each mile down the slope.

Step-by-step explanation:

From the given function in terms of D the elevation of the car above sea

level can be determined.

Responses:

The slope is the decrease in the elevation per unit increase in distance from the top of the hill.The y-intercept is the elevation of the top of the hill above sea level.The x-intercept is the distance from the top of the hill top when the elevation of the car is at sea level.

How can the linear function for the slope and intercept be interpreted?

Given:

The function that gives the elevation of the car above sea level, from the top of the hill is given as follows;

Elevation above sea level = 7500 - 250·D

Where;

0 ≤ D ≤ 6

Required:

The meaning of the slope and intercepts of the graph of the function.

Solution:

From the given linear function, of the elevation of the car, we have;

The slope which is -250 = The decrease in the elevation when the distance of the car from the top of the hill increases by 1 mile.

The y-intercept, which is 7,500, is the elevation above sea level when the car is 0 mile from the top of the hill, which is when the car is at the top of the hill.

The x-intercept is the point at which the elevation, which is the distance the car will be from the top of the hill when it is at sea level.

Learn more about linear functions here:

https://brainly.com/question/4025726

Which of the following is an example for a physical property that can be exploited for sparation?

Answers

The volume of an object

Suppose that an individual has a body fat percentage of 18.9% and weighs 141 pounds. How many pounds of her weight is made up of fat? Round your answer to the nearest tenth.

Please respond within the hour
Thanks

Answers

here is the proportion I used to get the answer. hopefully this helps

Select all ratios equivalent to 12:6.
120:60
35:9
55:3
10:5
Please help I’ll do anythng

Answers

10:5 is the answer hope u get a good grade

6(1 - 6x) < 38 - 4x
What is the answer to this equation.

Answers

Answer:

x>-1

Step-by-step explanation:

Answer:

x > -1

Step-by-step explanation:

(3i+5)+(2-6i) simplify

Answers

Answer:

(3i+5)+(2-6i)

⇒ 3i+5+2-6i

⇒3i-6i+5+2

-3i+7

The simplified form of (3i+5)+(2-6i) will be -3i+7

find area of triangle ​

Answers

8 .. 4 x 4 x 1/2 = 8 ... sorry if I’m wrong

Answer:

8 in²

Step-by-step explanation:

formula for area of a triangle is 1/2(bxh)

1/2(4x4)

1/2(16)

8

is it proportional or non proportional ​

Answers

the answer is c. okayyyyyy ty y ty ty e h a bc abjagained sjnsskemd bc dd

Answer:

Proportional

Step-by-step explanation:

It passes through (0,0) and is a completely linear line I hope this helps :))

Find tan
A 8/15
B 15/8
C 15/7
D 8/17

Answers

Answer:

cos α = 8/17

Apply Pythagoras theorem for triangle ,

Let get unknown side of triangle is y

17^2 = 8^2 + y^2

17^2 - 8^2 =  y^2

225 = y^2

y = sqrt(225)

y = 15

tan α = 15/8

Step-by-step explanation:

Answer:

The correct answer is 8/15 on edg

What is the common difference of the arithmetic sequence on which the series is based?

: 3 + 4.5 + 6 + 7.5 + 9 + 10.5.

Answers

Answer:

Step-by-step explanation:

1.5

Hope that helps!

Answer:

1.5

Step-by-step explanation:

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


Which expression is equivalent to 5(8+4)
A 8(5+4)
B) 4(8+5)
C) 5(9+3)
D) 5(10+1)

Answers

c, 5(9+3)
because both answers equal to 60

Answer:

5(8+4)=60

Step-by-step explanation:

To find the answer answer each one to get 60

A. 8(5+4)=64

B. 4(8+5)=52

C. 5(9+3)=60

D. 5(10+1)=55

So that means C is correct.

Please help me I don't knoe

Answers

Answer:

x = sqrt(147)

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem.

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse.

x^2 +7^2 = 14^2

x^2 +49 = 196

Subtract 49 from each side

x^2 = 147

Take the square root of each side

sqrt(x^2) = sqrt(147)

x = sqrt(147)

Answer:

[tex]7\sqrt{3}[/tex] or 12.12

Step-by-step explanation:

The pythagorean theorem states that a^2 + b^2 = c^2, with a and b representing the legs and c representing the hypotenuse.

7^2 + x^2 = 14^2

49 + x^2 = 196

x^2 = 147

x = [tex]7\sqrt{3}[/tex] or 12.12

The tide in Port Aransas peaks every 12.2 hours. The tide ranges from 2.9 to 1.3 meters. Suppose that the low tide is at t=1, where t is the time in hours.

Amplitude:
Vertical Shift:
Period:
Phase Shift:
What direction is the phase shift?
To the nearest thousandths, determine the height of the table at 3.5 hours?

Answers

[tex]\int\limits^a_b {x} \, dx[/tex]Answer:

[tex]x^{2} \lim_{n \to \infty} a_n[/tex]

Step-by-step explanation:

heading here. mdcps-logo. Dadeschools.net. Remember Username. Please Wait... Forgot Username /Pas

Can someone help me out with this one???!!!

Answers

Answer:

b=6/5

Step-by-step explanation:



Calculate the percentage increase of an item that cost R59.99 in 2020 and R 65.99 in 2021​

Answers

Answer:

the answer is of this question R = 10

Answer:

The answer is 6%

Step-by-step explanation:

[tex]65.99 - 59.99 = \frac{6 \times 100}{100} = 6\%[/tex]

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