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In-s [12.5K]
3 years ago
14

Expand the following x(x-6), x(4x-1), 2x(5x+4), 3x(5x-y)

Mathematics
2 answers:
snow_tiger [21]3 years ago
6 0

Answer:

a.{x}^{2}  - 6x

b. 4 {x}^{2}  - x

c. 10 {x}^{2}  + 8x

D. 15 {x}^{2}  - 3xy

Step-by-step explanation:

a.

x(x - 6)

Multiply each term in the parentheses by X

x \times x - x \times 6

Calculate

{x}^{2}  - 6x

b.

x(4x - 1)

Multiply each term in the parentheses by X

x \times 4 - x \times 1

Calculate

4 {x}^{2}  - x

c.

2x(5x + 4)

Multiply each term in the parentheses by 2x

2x  \times 5x + 2x \times 4

Calculate

10 {x}^{2}  + 8x

d.

3x(5x - y)

Multiply each term in the parentheses by 3x

3x  \times 5x - 3x \times y

Calculate

15 {x}^{2}  - 3xy

Hope this helps..

Good luck on your assignment

zlopas [31]3 years ago
4 0

Answer:

x^2-6x, 4x^2-1x,10x^2+8x,15x^2-3xy

Just use the distributive property like you have before and you will get these answers, Hope this helped!

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In circle J with \text{m} \angle HLK= 30^{\circ}m∠HLK=30
olga2289 [7]

Answer:

The minor arc HK is 60 degrees

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The inscribed angle is half that of the arc it comprises.

so

m\angle HLK=\frac{1}{2}(arc\ HK)

we have

m\angle HLK=30^o

substitute the given value

30^o=\frac{1}{2}(arc\ HK)

arc\ HK=60^o

Remember that the measure of the minor arc must be less than 180 degrees

therefore

The minor arc HK is 60 degrees

8 0
3 years ago
What is the value of 4y+2y-8 if y=0.5
RUDIKE [14]

Answer:

-5

Step-by-step explanation:

4x0.5=2

2x0.5=1

2+1=3

3-8=-5

8 0
3 years ago
A riverboat travels 54 km downstream in 2 hours. It travels 57 km upstream in 3 hours. Find the speed of the boat and the speed
irakobra [83]

Here we must write and solve a system of equations to find the speed of the boat and the speed of the stream. We will find that the boat's speed is 23km/h and the river's speed is 4km/h.

First, remember the relation:

Distance = Speed*Time.

Now let's define the variables we will be using:

  • B = boat's speed
  • R = river's speed.

When the boat travels downstream, the total speed of the boat is the speed of the boat plus the speed of the river, and we know that in that case it travels 54km in 2 hours, then:

54km = (B + R)*2h

When the boat travels upstream, we must subtract the speed of the river. In that case, we know that the boat travels 57km in 3 hours, then we have:

57km = (B - R)*3h

Then our system of equations is:

54km = (B + R)*2h

57km = (B - R)*3h

To solve this, first, we need to isolate one of the variables in one of the equations, let's isolate B in the second one:

57km = (B - R)*3h

57km/3h + R = B

19 km/h + R = B

Now we can replace that in the other equation:

54km = (B + R)*2h

54km/2h = B + R

27 km/h = B + R = (19 km/h + R) + R

Now we can solve this for R:

27 km/h = 19km/h + 2*R

27 km/h - 19km/h = 2*R

8 km/h = 2*R

(8km/h)/2 = 4km/h = R

Now that we know the value of R, we can use:

B = 19 km/h + R  = 19 km/h + 4km/h = 23 km/h

So the boat's speed is 23km/h and the river's speed is 4km/h.

If you want to learn more, you can read:

brainly.com/question/12895249

5 0
3 years ago
What is the product of 5×70
d1i1m1o1n [39]
The answer is 350!! hope i helped
7 0
3 years ago
Read 2 more answers
What is the equation of the parabola, in vertex form, with focus at (2,-4) and directrix y=-6?
viktelen [127]
B I did this to:) it’s pretty easy once u get the hang of it
7 0
3 years ago
Read 2 more answers
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