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MAXImum [283]
2 years ago
15

Find the distance between the points (2, 4) and (8,-8) on a coordinate plane, to the nearest whole number.

Mathematics
1 answer:
Alisiya [41]2 years ago
8 0

Answer:

2,5

Step-by-step explanation:

2 to the right and 5 up

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You are given g(x)=4x^2 + 2x and
Strike441 [17]

Answer:

324

Step-by-step explanation:

Given:

g(x)=4x^2+2x\\ \\f(x)=\int\limits^x_0 {g(t)} \, dt

Find:

f(6)

First, find f(x):

f(x)\\ \\=\int\limits^x_0 {g(t)} \, dt\\ \\=\int\limits^x_0 {(4t^2+2t)} \, dt\\ \\=\left(4\cdot \dfrac{t^3}{3}+2\cdot \dfrac{t^2}{2}\right)\big|\limits^x_0\\ \\=\left(\dfrac{4t^3}{3}+t^2\right)\big|\limits^x_0\\ \\= \left(\dfrac{4x^3}{3}+x^2\right)-\left(\dfrac{4\cdot 0^3}{3}+0^2\right)\\ \\=\dfrac{4x^3}{3}+x^2

Now,

f(6)\\ \\=\dfrac{4\cdot 6^3}{3}+6^2\\ \\=288+36\\ \\=324

4 0
3 years ago
What does this equal to<br> (b^3)2
soldi70 [24.7K]

Answer:

2b^3

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What is the equation of the line that passes through the point (−3,4) and has a slope of 1 ?
Juli2301 [7.4K]

Answer:

y = x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1, thus

y = x + c ← is the partial equation

To find c substitute (- 3, 4) into the partial equation

4 = - 3 + c ⇒ c = 4 + 3 = 7

y = x + 7 ← equation of line

4 0
3 years ago
Read 2 more answers
Find the equation of line parallel to y=-2x+1 and passing through the point (2,4)
SOVA2 [1]

Answer:

y=-2x+8

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slopes

<u>1) Determine the slope (m)</u>

y=-2x+1

The given line has a slope of -2. Because parallel lines always have equal slopes, we know that the line parallel to this would also have a slope of -2. Plug this into y=mx+b:

y=-2x+b

<u>2) Determine the y-intercept (b)</u>

y=-2x+b

Plug in the given point (2,4) to solve for b

4=-2(2)+b\\4=-4+b

Add 4 to both sides to isolate b

4+4=-4+b+4\\8=b

Therefore, the y-intercept of the line is 8. Plug this back into y=-2x+b:

y=-2x+8

I hope this helps!

5 0
2 years ago
James deposits $400 in a bank account for three years. He will earn 2.5% compound interest per annum. How much will be in his ba
IceJOKER [234]

Answer:

i think its $1000 after 3 year

4 0
3 years ago
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