Mathematics High School

what is the mathematical sentence of "the length of wooden frame is 1foot longer than it's width and it's area is equal to 12ft²" can you translate it into quadratic equation in terms of "x"?

Answers

Answer 1

Answer:

x²+x+12 = 0

Step-by-step explanation:

Area if the wooden frame = ,Length ×Width

A = LW

If the length of wooden frame is 1foot longer than it's width, then;

L = W+1

Given

A = 12ft²

Substitute the derived and given parameters into the formula to have;

P = (W+1)W

12 = (W+1)W

Open the parentheses

12 = W²+W

Subtract 12 from both sides

12-12 = W²+W -12

0 = W²+W-12

Rearrange

W²+W-12 = 0

If W = x

The quadratic equation becomes:

x²+x+12 = 0

Related Questions

The surface temperature ranges from -2°C to 31°C. Find the difference between the max and min temperatures.

Answers

Answer:

Step-by-step explanation:

Answer:

29c

Step-by-step explanation:

4x - 3 = 6x + 9 looking for variable

Answers

Answer:

x=-6

Step-by-step explanation:

Add 3 on both sides and subtract 6 on both sides.

This gives you -2x=12

Divide -2 on both sides

this gives you -6.

x=-6

[tex] \huge{\red{\boxed{\sf{x = - 6}}}}[/tex]

Step By Step Explanation:

Step 1:

→[tex]4x - 3 = 6x + 9[/tex]

Step 2:

→[tex]4x - 6x = 9 + 3[/tex]

Step 3:

→[tex] - 2x = 12[/tex]

Step 4:

→[tex]x = \frac{12}{ - 2} [/tex]

Step 5:

→[tex]\green{x = - 6}[/tex]

verification:

Step 1:

⇝[tex]4( - 6) - 3 = 6( - 6) + 9[/tex]

Step 2:

⇝[tex] - 24 - 3 = - 36 + 9[/tex]

Step 3:

⇝[tex] - 27 = −27[/tex]

[tex]\huge{ \boxed{\sf{‡hence\: vertified‡}}}[/tex]

HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!

Answers

9514 1404 393

Answer:

see attached

Step-by-step explanation:

The question is asking for a diagram of each triangle as though the other one were not there. The attached shows such a separation.

There are no common angles or sides. Side BD of ΔBDG is part of one side of ΔAEF.

Answer:

see attached

Step-by-step explanation:

The slope of the line below is -5/7. write a point slope equation of the line using the coordinates of the labeled point

Answers

need the coordinates to be able to answer

what are all the fractions that are equivalent to 1/7

Answers

2/14, 3/21, 4/28. just multiply 1 and 7 by the same number to come up with an equivalent fraction

Answer:

Some include: 3/21, 4/28, 5/35.

Step-by-step explanation:

You multiply the bottom by a number and then you multilpy the top by that same number!

1/7=3/21

1 times 3=3

7 times 3=21

Triangle XYZ is rotated to create the image triangle X'Y'Z'.

On a coordinate plane, 2 triangles are shown. The first triangle has points X (negative 2, 2), Y (1, 2), Z (0, 4). The second triangle has points X prime (2, negative 2), Y prime (negative 1, negative 1), Z prime (0, negative 4).
Which rules could describe the rotation? Select two options.

R0, 90°
R0, 180°
R0, 270°
(x, y) → (–y, x)
(x, y) → (–x, –y)

Answers

Answer:

b. e

Step-by-step explanation:

Options B and E are the correct answers.

We need to describe the transformation of triangle XYZ to triangle X'Y'Z'.

What is rotation?

Rotation is the circular movement of an object around an axis of rotation.

Now, from triangle XYZ to triangle X'Y'Z' the angle of rotation is 180°.

The translation is (x, y) → (–x, –y).

Therefore, options B and E are the correct answers.

To learn more about the transformation visit:

https://brainly.com/question/11709244.

#SPJ5

If you are buying $48 worth of two types of lawn seed. Ryegrass lawn seed sells for $0.70 per pound and Fescue lawn seed sells for $1.15 per pound. If you bought 25 pounds of Fescue lawn seed, write a linear equation in standard to find any amount of Ryegrass lawn seed purchased. (ax + by = c)

Answers

The amount of Ryegrass lawn seed purchased is 27.5 pounds and the linear equation formed is 0.70x + 28.75 = 48.

Linear Equation

The equation whose variables have the highest power as 1 is known as a linear equation.

How to write the linear equation for the given situation?

First, let us assume that the amount of Ryegrass lawn seeds purchased is x pounds.

The cost of Ryegrass lawn seeds is $0.70 per pound.

So, the cost of all the Ryegrass lawn seeds purchased is $0.70x.

The amount of Fescue lawn seeds purchased is 25 pounds.

And the cost of Fescue lawn seeds is $1.15 per pound.

So, the cost of all the Fescue lawn seeds purchased is,

= $1.15 x 25

= $28.75

And the total cost of buying the two types of lawn seeds is $48.

So, we can write the linear equation as,

0.70x + 28.75 = 48

Solving the linear equation for x, we get

0.70x = 48 - 28.75

0.70x = 19.25

x = 19.25/0.70

x = 27.5

Hence, the amount of Ryegrass lawn seed purchased is 27.5 pounds.

Learn more about solving linear equations here - https://brainly.com/question/1682776

#SPJ2

Geo has twice as many video games as Brianna has. Subtracting 7 from the number of video games. Geo has and dividing by 3 equals the number of video games Jamaal has. If Jamaal has 25 , how many video games does Brianna have

Answers

Answer:

41 games ( Brianna Has)

Geo has 82 because 25x25 equals 75 and 75+7 equals 82.

Answer:

Brianna Has 41 games

Step-by-step explanation:

HELP!! What is the value of B in terms of pie?

Answers

Answer:48

Step-by-step explanation:

Answer:

Explanation, cone with it's height to the value.

FAST
Which expression is equivalent to rm ÷ rn? (4 points)

rm – n
rm + n
rm • n
rm ÷ n

Answers

it should be rm - n I THINK, i’m not sure

7) Write an equation in point-slope form of the line
through point J(-2,10) with slope - 2

Answers

Answer:

y=-2x+6

Step-by-step explanation:

y=mx+b

10=(-2)(-2)+b

10=4+b

10-4=b

6=b

A hairdresser is deciding to open her own studio. If the hair dresser chooses Location A she will pay $1200 in rent and will earn $45 per
haircut. If she chooses Location B, she will pay $1800 in rent and will earn $60 per haircut. How many haircuts would she have to give to make
the same profit in either location?

Answers

Answer: x = Number of haircuts

Location A profit: 45x-1200

Location B profit: 60x-1800

(Lets assume that the profit is the same for each location)

45x-1200=60x-1800

By solving that we found:

x = 40 Haircuts

Hope this helps!

Step-by-step explanation:

Which best describes the function on the graph
Direct variation;k=2
Direct variation;k=1/2
Inverse variation;k=1/2
Inverse variation;k=2

Answers

Answer:

The right answer is d. inverse variation; k=2

A-5-B when A=9 and B=-4

Answers

Answer:

Step-by-step explanation:

(Refer to picture)

Plug in the value of A and the value of B into the expression

I need help plz and plz explain why plz

Answers

Answer:

156 minutes

Step-by-step explanation:

2 hrs=120 minutes

3/5 hr=3/5 *60=36 minutes

120+36=156 minutes

hope this helps

brainliest?

Answer:

156 minutes

Step-by-step explanation:

2*60=120

.6*60=36

36+120-156

Brainliest Appreciated!

Which table represents a linear function?
answers are in the picture plz help im timed

Answers

Answer: first table

Step-by-step explanation: go with the first one

Simplify: 3x-4(2x-6) + 9

Answers

Answer : It’s -5x+33

A number is written with 10 zeros, 10 ones and 10 twos. Is it possible for it to be a perfect square ? Please help. I don’t understand how to solve this...

Answers

Answer:

i am going to help you to understand this problem. if it is written with 10 0s it will be the billion place. because of the ten ones it will be 0,000,010, and because of the ten two's, which is 20, it will be 0,000,030. and when i searched up on google, and watched an episode of number blocks, no, 30 is not a square number OR a cube number.

Step-by-step explanation:

Describe the transformation
A) translation 2 units down
B) reflection across y=-1
C) reflection across the x-axis
D) across the y-axis

Answers

Answer:

Step-by-step explanation:

In a bag full of beans and rice, the ratio by weight of beans to rice is 2 to 9. If the bag has a total weight of 3 kilograms, how many kilograms of beans are there in the bag? (round to nearest thousandths)

Answers

Answer: 0.667 kilograms

Step-by-step explanation:

From the question, we are informed that in a bag full of beans and rice, the ratio by weight of beans to rice is 2 to 9.

Write an equation parallel to 2x+5y=15 that passes through the point (-10,1).

Answers

2x + 5y = 15
5y = -2x + 15
y = -(2/5)x + 3

y = mx + b
1 = -(2/5)(-10) + b
1 = 4 + b
-3 = b
So the equation of the line would be:
y = -(2/5)x - 3

Joe plans to book a trip for his family. The base rate for the trip will be 800$ and 75$ for each additional person going, write an equation to represent the linear function in slope intercept form

Answers

Answer:

y = 75x + 800

Step-by-step explanation:

Answer:

y = 75x + 800

'x' represents the number of people

800 represents the base rate

Ron is planning for the back-to-school rush at his store. Last year he estimated that he would need 168 notebooks, but he sold 200 notebooks. What was the absolute error in Ron’s estimate?

The absolute error is _______

Answers

Answer:

Step-by-step explanation:

Answer:

it is 32

Step-by-step explanation:

HELP ME PLEASE HURRY

Answers

Answer:

x=-2

Step-by-step explanation:

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