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Stells [14]
3 years ago
15

Expand the following: a) x(x - 6) b) x(4x + 1) c) 2x(5x + 4) d) 3x(5x - y)

Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
6 0

Answer:

Step-by-step explanation:

a. x(x - 6)

x X x - x X 6

x^2 - 6x

b. x(4x + 1)

x X 4x + x X 1

4x^2 + x

c. 2x(5x + 4)

2x X 5x + 2x X 4

10x^2 + 8x

d. 3x(5x - y)

3x X 5x - 3x X y

15x^2 - 3xy

puteri [66]3 years ago
5 0

Answer:

<h2>[a]=x²_6x</h2><h2>[b]=4x²+x</h2><h2>[c]=10x²+8x</h2><h2>[d]15x²_3xy</h2>

Step-by-step explanation:

You might be interested in
Someone pls help me.
nydimaria [60]
I’m here to help.
For this question here you need to use the sine formula for the area of a triangle and figure out the area of the sector

I’ll take you through it step-by-step

Area of the arc:

We only have 68.9 degrees out of 360 and we need to use the formula for the area of a circle.
Formula of a circle = pi x radius squared

68.9/360 x pi x 86.1184= 51.78 (2dp)

Area of triangle:
As you can see we have no height so we must use the sine formula for the area of a triangle.
Formula= 1/2abSinC

You should end up with
0.5 x 9.28x 9.28 x Sin(68.9)= 40.17 (2dp)

Now since you want the area of the segment shaded, just find the difference between these two values.

51.78-40.17 = 11.61
Answer= 11.6cm squared

Hope this helped!
3 0
3 years ago
Curtis is twice as old as his brother Jonathan. Olivia is six years younger than Jonathan. The sum of their ages is 58 years.
liraira [26]
C=2 times j
c=2j
o=j-6
c+j+o=58

subsitte j-6 for o and 2j for c

2j+j+j-6=58
4j-6=58
add 6 to both sides
4j=64
divide both sides by 4
j=16

sub back


c=2j
c=2(16)
c=32

o=j-6
o=16-6
o=10


curtis=32
olivia=10
jonathan=16

equations are
c+j+o=58
c=2j
o=j-6
7 0
3 years ago
Read 2 more answers
Scientists have found that the life span of a mammal living in captivity is related to the mammals mass. The life span in years
Tatiana [17]
To know the life span of the wolf and the lion, we simply substitute their mass to the formula for L.

Mass of wolf:
L=12 m^{ \frac{1}{5} }= 12 (32)^{ \frac{1}{5} }=24

Mass of lion:
L=12 m^{ \frac{1}{5} }= 12 (243)^{ \frac{1}{5} }=36

Therefore, the wolf has a life span of 24 and the lion has a life span of 36. With this information, we can determine how much longer the life span of the lion is:
36-24=12

ANSWER: The life span of the lion is 12 longer than the life span of the wolf.
7 0
3 years ago
What would be the value of expressing something like the national debt in scientific notation? What information would be lost in
Vikki [24]
<span>As of January 8, 2015, the U.S. is $18.1 trillion in debt. (Source: National Priorities Project)

1 Trillion 

= 1 Thousand Billion

= 1,000,000,000,000

= 10</span>¹²
<span>
---------------------------

U.S National debt currently stands at:

$ 18.1 x 10</span><span>¹²
</span><span>
*What information would be lost? Well firstly the 0's. The 0's put the size of the number into perspective. The word "trillion" would also be taken out of the picture, once again altering the perspective of the number.

Personally I'd prefer to hear "18.1 Trillion Dollars". Sounds more interesting.

</span>
8 0
3 years ago
Which of the following is the product of 7/8 and -4/21?  a.- 1/6 b.1/12 c.- 16/21 d.- 147/32​
olga55 [171]

Answer:

option a

Step-by-step explanation:

7/8 * -4/21

=7*-4/8*21

=-28/168

=-1/6

In maths product means multiplication.

6 0
3 years ago
Read 2 more answers
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