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VashaNatasha [74]
3 years ago
10

Expand the following: c) 4(2x +1)

Mathematics
2 answers:
murzikaleks [220]3 years ago
6 0

Answer:

= 4(2x +1)

= 4× 2x + 4×1

= 8x +4

Mashutka [201]3 years ago
6 0

Answer:

4*(2*x+1)

Step-by-step explanation:

Simplified we would write it as,

8x + 4, but we want to expand, so we would write out each operation being performed.

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Find equations of the lines passing through (−2, 3) and having the following characteristics.
elena-s [515]

Answer:

a.y=13/16x+37/8

b.y=3/2x+6

c.y=3/4x+9/2

d.x=-2

Step-by-step explanation:

All lines must pass through (-2,3)

a. The slope must be 13/16;

y=13/16x+b, SInce it must pass through (-2,3), plug in -2 as the x-value and 3 as the y-value

3=13/16(-2)+b, solve for b.

24/8=-13/8+b

37/8=b

y=13/16x+37/8

b, It must be parallel to the line 3x-2y=2; first, find the slope by converting to y=mx+b

3x-2y=2

-2y=-3x+2

y=3/2x-1, Parallel lines have the same slope so a line parallel to 3x-2y=2 and passing through (-2,3) will have a slope of 3/2.

Plug in (-2,3) to find the b-value again.

(3)=3/2(-2)+b

3=-3+b

6=b

y=3/2x+6

c. It must have a line perpendicular to 4x+3y=6.  Again like in b, find the slope.

y=-4/3+2, the slope is -4/3.

Now, perpendicular lines have the opposite inverse slopes which means that you add a negative sign and flip the numerator and denominator

-(-3/4), this is just 3/4

Ok, the slope of the line is 3/4, plug in (-2,3) to find the b-value again.

(3)=3/4(-2)+b

6/2=-3/2+b

9/2=b

y=3/4x+9/2

d. The line is paralell to the y-axis.

This just means that the line is vertical. The line has no slope.

The vertical line that passes through the x-value -2 is x=-2

x=-2

5 0
3 years ago
The value of the digit 6 in 62,480 is blank times the value of the digit 6 in 75,612
Inessa05 [86]
Is ten thousand time hope it works
5 0
3 years ago
A frog has fallen into a pit that is 30m deep. Each day the frog climbs 3m but falls 2m at night. How many days those it takes t
lions [1.4K]

Answer:

28 days

Step-by-step explanation:

because the frog climbs 3m in the day, but falls 2m at night, it technically climbs 1m every 24 hours. this means after the 1st day, it will have climbed a total of 1m, on the second, it will have climbed a total of 2m, and so on. however, when it gets nearer to the top, that's when things start to change. after the 26th day, it will have climbed 26m. on the 27th day, it will be 27m, but then when it jumps 3m the next day, it will reach 30m total before it falls during the night and it will be able to get out of the hole.

i hope this helps! :)

8 0
3 years ago
3x – 7(4 + 2x) = –x + 2 Answer?? Idk how to do this
lesantik [10]
<u>3x-7(4+2x)=-x+2</u> first step is to distribute the -7 into the (4+2x) this is done by multiplying the -7 to the 4 and them doing the same for the 2x
<u>3x-28-14x=-x+2</u> next you combine like terms as in all the x's you do this by adding the -14x and the 3x together
<u>-11x-28=-x+2 </u> next you put all the x's on one side
<u>+x         +x</u>
<u>-10x-28=2</u> <u />next you add 28 to both sides to combine your final like terms
      <u>+28 +28 
-10x=30</u> the last step is to divide -10x and 30
<u>/-10x /-10x
</u><u>x=-3</u>
6 0
3 years ago
Read 2 more answers
12 Which numbers are irrational? Choose all that apply.
alex41 [277]
Option a and option d
6 0
3 years ago
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