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3 years ago

A Certain rectangle has an area of 112 square feet and a width of 8 feet. What is the length, in inches, of the

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

6 0

Answer:

14 inches

Step-by-step explanation:

Area of a Rectangle = wl

8(l) = 112

Divide 8 from both sides to get l by itself

112/8 = 14

l = 14

14 x 8 = 112

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Need help with my sister's homework

masha68 [24]

The answer is 1

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3 years ago

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Martin is 6 years younger than his sister. The sum of their ages is no more than 22 years. use x represents Martin's sister's ag

Agata [3.3K]

Martins sisters age is 14 I got this My work (could be wrong)

Its pretty simple if they said Their sum of their ages is 22 all you have to do is 22-6= 14.

Hope this helps If you have any questions ask me in the comments :D

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3 years ago

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Miley is trying to solve the following riddle the sum of three consecutive integers is 84 what are the integers

oee [108]

Answer:

Three consecutive numbers are 27,28,29

Step-by-step explanation:

Given : The sum of three consecutive integers is 84.

To find : What are the integers?

Solution : Let three consecutive numbers $x, x+1, x+2$

So, according to given situation 'sum of three consecutive integers is 84'.

$x+x+1+x+2=84$

$\Rightarrow 3x+3=84$

$\Rightarrow 3x=84-3=81$

$\Rightarrow x=\frac{81}{3}$

$\Rightarrow x=27$

So, $x=27$

$x+1= 27+1=28$

$x+2=27+2=29$

Therefore, three consecutive numbers are 27,28,29

4 0

2 years ago

If the diameter of the circle is 24 cm, find its area correct to one decimal place.

Radda [10]

Answer:

A=pi times radius squared

24/2= 12 is the radius (since it's half of diameter)

A=pi times 12 squared

12 squared is 12 times 12 which is 144

A=pi times 144

A=452.389342

Rounded to 452.4

4 0

3 years ago

Identify the quadratic function from the four functions

Alchen [17]

Quadratic Function is a function that takes the equation form of:

$\large \boxed{y = a {x}^{2} + bx + c}$

where a ≠ 0. However the form of Quadratic Function above can also be called "standard form" or general form because it is commonly used when defining the function. Quadratic Functions also have other two forms which are intercept form and vertex form.

Vertex Form

$\large \boxed{y = a {(x - h)}^{2} + k}$

Intercept Form

$\large \boxed{y = (ax - b)(bx - c)}$

The intercept form can be expressed as y = (x-a)(x-b) depending on the other perspective.

If you look at all four functions, you will notice that only two of functions have the second degree as highest degree while the third function has third degree as highest and fourth function has fourth degree. Recall the definition of Quadratic Function above that the highest degree of Quadratic Function can only be second degree (squared, x² as example). Therefore we can rule out the x³ and -2x⁴ away.

So our only quadratic functions are:

$\large{ \begin{cases}y = - {x}^{2} - 4 \\ y = {(x - 1)}^{2} - 7 \end{cases}}$

As for the f(x) = -x²-4. The equation is in standard form which is y = ax²+bx+c. The second equation is in vertex form which is y = a(x-h)²+k.

Answer

The only quadratic functions are f(x) = -x²-4 and f(x) = (x-1)²-7
-x²-4 is in standard form.
(x-1)²-7 is in vertex form.

Hope this helps and let me know if you have any doubts.

Also let me know if you want me to convert the function into other form. For ex. convert the vertex form to standard form.

Happy Learning and Good Luck with your assignment!

4 0

2 years ago