solution to the system
y=-x2-3x+2
y=x+6

The width of the door is [tex]37.8ft[/tex] and the height of the door is [tex]39.6ft[/tex]

Let

[tex]A=\text{the front area of the door}\\h=\text{the height of the door}\\w=\text{the width of the door}[/tex]

From the question

[tex]A=w\times h=1496.9\\h=w+1.8[/tex]

We are to find both the width and the height of the door. To proceed, we have to eliminate the height, and solve for the width. Later, we calculate the value of the height from the width.

Eliminate the height;

[tex]A=w\times h\\A=w\times(w+1.8)\\w^2+1.8w-A=0[/tex]

substitute the value of the front area into the equation and solve for the width

[tex]w^2+1.8w-1496.9=0\\w\approx 37.8\text{ or }w\approx-39.6[/tex]

the width can only take positive value. Now, to get the height

[tex]h=w+1.8\\=37.8+1.8\\=39.6[/tex]

the width and height of the door are [tex]37.8ft[/tex] and [tex]39.6ft[/tex] respectively.

Another example can be found in the link: https://brainly.com/question/18625465

Answer:

JL = 11 units

Step-by-step explanation:

Add the units between JK and KL together to get the answer for JL

Answer:

you are correct with the following question

Answer:

[tex](x-6)^2=8[/tex]

Step-by-step explanation:

[tex]x^2-12x+32=4[/tex]

[tex]x^2-12x+32+4=4+4[/tex]

[tex]x^2-12x+36=8[/tex]

[tex](x-6)^2=8[/tex]

Basically, you need to add a number to both sides so that you can reduce the left side to a square. In this case, you add 4.

Answer:

207+ 364 = 571

Step-by-step explanation:

i guess?._.

Answer:

Step-by-step explanation:

The area  of a triangle is equal to half the product of its length (L) because of its height (h).

The base of the triangles is  

The height of the triangles is  

Then the area of one of the triangles is:

The figure is formed by 12 equal triangles, then the area of the figure  is:

Answer:

You have 7,167

Step-by-step explanation:

If this was to be converted into a whole number, it would be:

7,167

Answer:

Step-by-step explanation:

Firs we need to understand what is a function-

from a set [tex]X[/tex] to a set [tex]Y[/tex] is an assignment of an element of [tex]Y[/tex] to each element of [tex]X[/tex].

This mean's that an element in [tex]X[/tex] can't have multiples values in [tex]Y[/tex], then if you find a coordinate with two different values, isn't a function.

Take for example the second data set:

[tex]\{(2, 3), (2, 5), (3,6), (9,4)\}[/tex]

All is good except for the first two coordinates because [tex]x[/tex] is define with two different values, then you can determinate that isn't a function.

Maybe you're confuses because exist some graphs that repeat values in [tex]x[/tex] as the graph of a circle, but this in reality isn't a function, is a relation. A relation can repeat values in the set [tex]X[/tex] infinity times but never is going to be a function.

Answer:

I think its vertical opposite angle

Answer: 1.14583333333 miles

Step-by-step explanation: divide 25/21.81818181818182

The car will travel 1.15 miles in 2 minutes 45 secs

if a car is traveling at 25 miles per hour, the amount of time the car travels in secs is 3600secs

25 miles  = 3600secs

To get the distance traveled in 2 minutes 45 secs, we can write;

x = 165 secs

Divide both expressions

25/x = 3600/165

3600x = 25 * 165

3600x = 4125

x = 1.15 miles

Hence the car will travel 1.15 miles in 2 minutes 45 secs

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Answer:

<6

<4

Step-by-step explanation:

Remote interior angle is an interior angle that is not adjacent to the exterior angle of interest.

<6

<4

Answer:

y=-2 is y intercept, graph opens upward like a smiley face

a=3 ,b=1, c=-2

Step-by-step explanation:

1.the graph opens upward since 3x^2 is positive

2.the graph corsses the Y axis when x is zero, so setting x equal to zero we find...

3(0)^2 + (0) -2 =y so y=-2 is y intercept

y=ax+bx+c

y=3x^2+x-2

a is represented by 3

b is 1 since x is positive

c is -2

The value when 6/24  is divided by 12/16 is equal to 1/3.

To divide the fraction 6/24 by 12/16, we can simplify the problem by multiplying the first fraction by the reciprocal of the second fraction.

Reciprocal of 12/16 is 16/12.

So, the division can be written as:

6/24 ÷ 12/16 = 6/24 × 16/12

6/24 = (6 ÷ 6) / (24 ÷ 6) = 1/4

16/12 = (16 ÷ 4) / (12 ÷ 4) = 4/3

Now, we have:

1/4 × 4/3

To multiply fractions, we multiply the numerators together and the denominators together:

(1 × 4) / (4 × 3)

= 4/12

The fraction 4/12 by dividing both the numerator and denominator by their greatest common divisor, which is 4:

(4 ÷ 4) / (12 ÷ 4)

= 1/3

Therefore, 6/24 divided by 12/16 is equal to 1/3.

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Answer:

1) 7/12, 2) 7/24

Step-by-step explanation:

Just plug in the values of c and d.

1) given: c = -1 1/4, d = -1

1/3 * (-1 1/4) - (-1)^3 = -5/12 + 12/12 = 7/12

(-1^3 is -1 (there's a positive in front as well so the negatives cancel out and it's just 1) and then convert everything to a common denominator (which is 12). 1/3 times -1 1/4 becomes -5/12 when you multiple straight across).

2) given: c = 4 1/4, d = 1 1/2

1/3 * (4 1/4 - (1 1/2)^3) = 1/3 * (17/4 - 27/8) = 1/3 * (34/8 - 27/8) = 1/3 * 7/8 = 7/24

(use pemdas/order of operations and solve the exponent first, then the parentheses. 1 1/2^3 is 27/8, and 4 1/4 is 34/8. when you subtract you get 7/8, then you can multiply straight across with 1/3 and you get 7/24.)

Answer:

America is correct

Step-by-step explanation:

it says 0,0 and then it would mean it wouldn't have any sugar in the pies

Answer:

No, America's wrong.

If you look on the graph, as the line increases you can see one pie needs around 3/4(not accurate). (0,0) is the origin point. No sugar is used, and no pie was made.

Answer:

Last on is the answer!! (The relation is a function, and the range is (-2,-1, 1, 3, 4). Hope this helps:)

Answer:

3 months, 6 months, interest is 1 point or 0.01 for every percent, 2010.35, peanut butter but why is this a question, 0.77, It is similar to a snowball because as time goes on the account grows at the same percent but it is more money so it is a larger amount. This is very common in dividend investing. next question, yes it is a percent, simple because compound is always more or the same, I would say principal but I am not sure

Step-by-step explanation:

Answer:

Correct Answer is C. 120.7 pounds per hour to 144.1 pounds per hour.

Step-by-step explanation:

Just took the Quiz <3

Answer:

isnt the answer just below the question?

Answer:

What are you trying to ask.

Step-by-step explanation:

Please Write in a understandable  manner.

Thanks from India.

Answer:

m

Step-by-step explanation:

Answer: 25

Step-by-step explanation:

Subtract 46.50 - 46.25 and you’ll get 25

Answer:

1/3

Step-by-step explanation:

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

m = (0- -3)/(5- -4)

m = 3/9 = 1/3

Step-by-step explanation:

Domain: x€ [ -7;7]

Range : y€ [-6;4]

For the domain, the graph's x-values are from -7 to 7

For the range, the graph's y-values are from -6 to 4

Answer: 16

Step-by-step explanation:

For n=1, 1st term = 261 - 5(1-1) = 261 - 5*0 = 261

For n=2, 2nd term = 261 - 5(2-1) = 261 - 5*1 = 256

For n=3, 3rd term = 261 - 5(3-1) = 261 - 5*2 = 251

So, For n=n, nth term = 261 - 5(n-1)

Thus, For n=50, 50th term = 261 - 5(50-1) = 261 - 5*49 = 261 - 245 = 16

Answer:

$2,365

Step-by-step explanation:

Divide $61,490 by 26...

Answer:

x = -20

Step-by-step explanation:

50 - 3x = 110

=> -3x = 110 - 50

=> -3x = 60

=> x = -20

Hoped this helped.

Step-by-step explanation:

50 - 3x = 110

3x = 110 - 50

3x = -60

x = -20