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iogann1982 [59]
3 years ago
14

5. Factorise: p2 - 11p +30

Mathematics
2 answers:
balandron [24]3 years ago
8 0

Answer:

(p - 5)(p - 6)

Step-by-step explanation:

p^2 - 11p + 30

find what two numbers added together is -11 but multiplies together is 30, its' -5 and -6 so:

(p - 5)(p - 6)

Schach [20]3 years ago
6 0

Answer:

(p - 5)(p - 6)

Step-by-step explanation:

Given

p² - 11p + 30

Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (- 11)

The factors are - 5 and - 6, since

- 5 × - 6 = + 30 and - 5 - 6 = - 11 , thus

p² - 11p + 30 = (p - 5)(p - 6) ← in factored form

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Jasmine created a scale drawing of her room. She used a scale of 1 in:3 feet. The drawing is 8 inches long by 6 inches wide. Wha
sergiy2304 [10]

Answer:

The area of the room is 432 square feet

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ The scale drawing of the room is 1 inch: 3 feet

→ That means each 1 inch in the drawing represents 3 feet in real

∵ The drawing is 8 inches long by 6 inches wide

∴ The drawing length of the room = 8 inches

∴ The drawing width of the room = 6 inches

→ By using the ratio method

→  inches  :  feet

→  1            :  3

→  8           :  L

→  6           :  W

→ By using the cross multiplication

∵ 1 × L = 8 × 3

∴ L = 24

∴ The actual length of the room is 24 feet

∵ 1 × W = 6 × 3

∴ W = 18

∴ The actual width of the room is 18 feet

Use the formula of the area of the rectangle to find the area of the room

∵ Area of rectangle = length × width

∴ Area of the room = 24 × 18

∴ Area of the room = 432 feet²

∴ The area of the room is 432 square feet

8 0
3 years ago
Anwser both of them please
eimsori [14]
The rectangle on the right is 81 and the rectangle on the left is 24. I don't really know about the second one sorry, but I hope this helped.
4 0
4 years ago
Use angle relationships and the diagram below to write and solve an equation for x.
tatuchka [14]

Answer:

x = 7 degrees

Step-by-step explanation:

4x-5 = 2x + 9

-2x -2x

2x-5 = 9

+5 +5

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2x/2 =14 /2

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5 0
3 years ago
6.01 x 10 -6 power in decimal form
loris [4]

Answer:

Step-by-step explanation:

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4 years ago
A circle with radius of 4 cm sits inside a circle with radius of 11 cm.
kap26 [50]

The area of the shaded region = 330 sq cm

Step-by-step explanation:

Given,

The radius of small circle (r) = 4 cm

The radius of large circle (R) = 11 cm

To find the shaded region

Formula

The area of circle of radius r = πr^{2} sq cm

So, The radius of the small circle = π×4^{2} sq cm = 16π sq cm

The radius of the large circle = π×11^{2} sq cm = 121π sq cm

Hence the area of the shaded region = 121π-16π sq cm

= 105π sq cm

= 105 × \frac{22}{7} sq cm = 330 sq cm

5 0
3 years ago
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