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3 years ago

X^(2)+x-20 splitting the middle term

1 answer:

5 0

Are you trying to factorise this?

Here is a way you may not have been taught....
(x + a)(x + b) = x^2 + (a + b)x + ab

So you need to find two factors of -20 that add up to +1
-4 x 5 = -20 and -4 + 5 = 1. Perfect

x^2 + x - 20 = (x - 4)(x + 5)

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Which of the following is a true statement?

mrs_skeptik [129]

C is the correct answer

8 0

3 years ago

Simplify: (3x2y) · (5x3y2)

TiliK225 [7]

Answer:

15x^5*y^3

Step-by-step explanation:

6 0

3 years ago

A circle is shown. 2 raddi are drawn. A chord connects the points of the radii on the circle to each other to form a triangle. T

iragen [17]

Answer:

$(5\pi-11.6)ft^2$

Step-by-step explanation:

Given:

Length of radius of circle = 5 feets

Length of perpendicular bisector = 4 feets

To find:

Area of the shaded portion of the circle

Solution:

As OD is perpendicular bisector of AB,

$AB=2AD=2(2.9)=5.8\,\,feets$

$\angle ODA=90^{\circ}$

Area of $\Delta AOB$ = 1/2 (base) × (height) = $\frac{1}{2}\times 4\times 5.8=11.6$ square feets

Area of sector AOBC = $\frac{\angle AOB}{360^{\circ}}\pi(r^2)=\frac{72^{\circ}}{360^{\circ}}\pi(5^2)=5\pi$ square feets

Here, r denotes radius of circle

So,

Area of shaded portion = Area of sector AOBC - Area of $\Delta AOB$ = $(5\pi-11.6)ft^2$

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3 0

3 years ago

How to identify the radius if given in diameter and how to identify the diameter if given in radius

spayn [35]

Answer:

radius = diameter/2

Step-by-step explanation:

look it up

3 0

3 years ago

A sidewalk along side a garden at the Conservatory is to be 11 4/9 yards long. Rectangular stone tiles that are each 2 1/18 y

alexandr1967 [171]

Step-by-step explanation:

Convert the fractions in the yards given to decimals, because then you can divide the length of the sidewalk by the length of each tile. So 2/5 is 2 divided by 5 which equals .4. And 1/8 is 1 divided by 8 which is .125.

So, the sidewalk is 14.4 yards long and each tile is 1.125 yards long.

Divide the length of the sidewalk, 14.4 yards, by the length of each tile, 1.125 yards.

Equals 13.8 tiles, rounded off to 14 tiles.

Hope this helps.

14 2/5 = 72/5

1 1/8 = 9/8

72/5 = 576/40 divide by 45/40 = 576/40 x 40/45 = 23040/1800 = 12.8 tiles

7 0

3 years ago