2 years ago

Use the binomial theorem or Pascal's triangle to write each binomial expression. (X + 4)^2

Mathematics

1 answer:

sp2606 [1]2 years ago

8 0

$(x + 4)^2 =x^2+8x+16$

You might be interested in

Please help! i'm confused! Find the area of a kites with diagonals 9in and 12in.

kolbaska11 [484]

Notice the picture
the rhombus, or kite, is really just 4 triangles
all sides are the same lenght in a rhombus,

thus, find the area of all of the triangles,
and you already have two sides given,
and then, add them up

or just find the length of one, and multiply times 4 :)

recall, area of a triangle = 1/2 bh

8 0

2 years ago

Whats the answer to 0.8 divided by 697.04 show work please.

Varvara68 [4.7K]

Answer:

.00114771

hope this helps, good luck :)

4 0

2 years ago

Distance between parallel lines y=3x+10 and y=3x-20

Alecsey [184]

1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).

2. Use formula $d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}}$ to find the distance from point $(x_0,y_0)$ to the line Ax+By+C=0.

The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:

$d=\dfrac{|3\cdot 0-10-20|}{\sqrt{3^2+(-1)^2}}=\dfrac{30}{\sqrt{10}}=3\sqrt{10}$ .

3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.

Answer: $d=3\sqrt{10}$ .