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2 years ago

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 (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!

What we need to know:

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

1) Determine the slope (m)

$y=-2x+1$

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 $y=mx+b$ :

$y=-2x+b$