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oee [108]
3 years ago
12

The rectangle below has an area of x^2-7x+10square meters and a width of x - 5 meters. What expression represents the length of

the rectangle below? length=_____ meters.
Mathematics
1 answer:
jolli1 [7]3 years ago
7 0

Answer:

L = (x - 2) meters

Step-by-step explanation:

The area of the rectangle = (x² - 7x + 10) m²

The width = (x - 5) m

length = ?

Area of a rectangle = length × width

x² - 7x + 10 = L(x -5)

note L = length

divide both sides by (x-5)

(x² - 7x + 10)/(x - 5) = L

L = x² - 7x + 10 / (x -5)

Factorize x² - 7x + 10

find the numbers you can multiply to give you 10 and also add to give you -7

The numbers are -2 and -5. Therefore,

x² - 2x - 5x + 10 = 0

x(x - 2) - 5(x - 2) = 0

(x-5)(x-2) = 0

Let us go back to our division

L = x² - 7x + 10 / (x -5)

x² - 7x + 10 = (x-5)(x-2)

L = (x-5)(x-2) / (x -5)

L = (x - 2) meters

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When completely factored, 8x + 2y - 4
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Answer:...

-4+8x+2xy

Step-by-step explanation:

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3 years ago
JULIE HAS 10 YARDS OF RIBBON. SHE DIVDES THE RIBBON INTO 3 EQUAL PIECES AND USES 2 OF THE PIECES ON GIFTS. HOW MUCH RIBBON DOES
Aliun [14]

Answer:

6.66 yards of ribbon.

Step-by-step explanation:

If she has 10 yards of ribbon and divides it equally into three parts, those 3 parts would each be 3.33 yards long or 3 (1/3) yards long.

If she uses two of those parts on gifts, then she would use 3.33 x 2 or 6.66 yards of ribbon.

8 0
3 years ago
The general manager of a fast food restaurant chain must select 6 restaurants from 11 for a promotional program. How many differ
Arisa [49]

Answer:

Step-by-step explanation:

This question will be solved using the combination formula which is nCr because the order is unimportant and we need the selection.

11C6

11!/(11-6)!*6!

= 462

Therefore the manager can select the restaurant in 462 ways.

4 0
3 years ago
Read 2 more answers
Given f(x)=-1/7√16-x^2 find f^-1(x)
Vera_Pavlovna [14]

Answer:

f^{-1}(x)=\pm \sqrt{49x^2-16}

Not a function.

Step-by-step explanation:

The given function is;

f(x)=-\frac{1}{7}\sqrt{16-x^2}

Let y=-\frac{1}{7}\sqrt{16-x^2}

Interchange x and y;

x=-\frac{1}{7}\sqrt{16-y^2}

Solve for y;

-7x=\sqrt{16-y^2}

Square both sides

(-7x)^2=(\sqrt{16-y^2})^2

49x^2^2=16-y^2

49x^2^2-16=y^2

y=\pm \sqrt{49x^2-16}

The inverse is

f^{-1}(x)=\pm \sqrt{49x^2-16}

f^{-1}(x)=\pm \sqrt{49x^2-16} is not a function because one x-value maps onto to different y-values.

6 0
3 years ago
5) Amarian scored 24 points in the second half of the basketball game.
ki77a [65]
32 is the correct answer
5 0
3 years ago
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