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jeyben [28]
3 years ago
11

Find the distance between

Mathematics
1 answer:
slega [8]3 years ago
3 0

Answer:

The distance is \frac{3}{10} = 0.3

Step-by-step explanation:

First notice that \sqrt {\frac{25}{4} }=\frac{5}{2}

Then we need the distance between those two fractions, which can be found via the absolute value of the difference between these two numbers;

distance=|\frac{11}{5} -\frac{5}{2} |\\distance=|\frac{22}{10} -\frac{25}{10} |\\distance= \-\frac{3}{10} |\\distance= 0.3

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What is the force required to move a 2,000 kg car with an acceleration of 2 m/s/s?
Airida [17]

We know that According to Newton's Second Law that :

Force acting on an object is equal to the Mass of that Object multiplied by the Acceleration of that Object.

Given Mass of the Car as : 2000 kg

Acceleration of the Car as : 2 m/s²

Force required to move the Car = 2000 × 2 = 4000 Newton

6 0
4 years ago
Read 2 more answers
Evaluate the function f(x)= x^2 + 2x + 8 at the given values of the independent variable and
tresset_1 [31]
Question a:
f(6) = (6)² + 2(6) + 8

f(6) = 36 + 12 + 8

f(6) = 56

Question b:
f(x+4) = (x+4)² + 2(x+4) + 8

f(x+4) = x² + 8x + 16 + 2x + 8 + 8

f(x+4) = x² + 10x + 32

Question c:
f(-x) = (-x)² + 2(-x) + 8

f(-x) = x - 2x + 8
8 0
3 years ago
Help me with this please.
andriy [413]
1. bc/3 + a/xy + 3/ab
= b^2cxya + 3a^2b + 9xy/3xyab

2. (5/3y) + 2y - 12
=11/3y - 2

3. ?

Hope this helps and right! :)) Good luck
4 0
3 years ago
What is the range of the function f(x) = 3x2 + 6x - 8?
V125BC [204]

Answer:

  {y | y ≥ -11 }

Step-by-step explanation:

To answer a question like this, it is often helpful to graph the function or to rewrite it to vertex form.

  f(x) = 3x^2 +6x -8

  f(x) = 3(x^2 +2x) -8 . . . . factor the leading coefficient from x terms

  f(x) = 3(x^2 +2x +1) -8 -3(1) . . . . complete the square*

  f(x) = 3(x +1)^2 -11

The form of this equation tells you that the graph is a parabola that opens upward. Its vertex is (-1, -11), so the minimum value is -11. The range is the vertical extent of the function values, so goes upward from -11:

  y ≥ -11

_____

* Vertex form is ...

  f(x) = a(x -h)^2 +k

where "a" is the vertical scale factor and (h, k) is the vertex. When "a" is positive, the parabola opens upward; when it is negative, the parabola opens downward.

The square is completed by adding the square of half the x-coefficient inside parentheses, and subtracting the equivalent amount outside parentheses. Here, we had 2x inside parentheses, so we added (2/2)^2 = 1 inside and -3(1) outside, because "a" was 3.

_____

Brainly provides tools for properly rendering math symbols. 2-11 is not the same as ≥-11.

7 0
4 years ago
Write the equations of the lines on the grid.
klasskru [66]
Answer;
red line: y = x
green line: y = -x
6 0
3 years ago
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