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3 years ago

What is the distance from -2 and 4

Mathematics

2 answers:

NemiM [27]3 years ago

6 0

Answer:

I think it's 6

stiv31 [10]3 years ago

3 0

its -6 because is you kco the positive for will go to negative 4

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The vertices of ∆ABC are A(2, 8), B(16, 2), and C(6, 2). what is the perimeter and area in square units

ad-work [718]

Check the picture below.

the triangle has that base and that height, recall that A = 1/2 bh.

now as for the perimeter, you can pretty much count the units off the grid for the segment CB, so let's just find the lengths of AC and AB,

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&A&(~ 2 &,& 8~) 
% (c,d)
&C&(~ 6 &,& 2~)
\end{array}~~~ 
% distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AC=\sqrt{(6-2)^2+(2-8)^2}\implies AC=\sqrt{4^2+(-6)^2}
\\\\\\
AC=\sqrt{16+36}\implies AC=\sqrt{52}\implies AC=\sqrt{4\cdot 13}
\\\\\\
AC=\sqrt{2^2\cdot 13}\implies AC=2\sqrt{13}$

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&A&(~ 2 &,& 8~) 
% (c,d)
&B&(~ 16 &,& 2~)
\end{array}\\\\\\
AB=\sqrt{(16-2)^2+(2-8)^2}\implies AB=\sqrt{14^2+(-6)^2}
\\\\\\
AB=\sqrt{196+36}\implies AB=\sqrt{232}\implies AB=\sqrt{4\cdot 58}
\\\\\\
AB=\sqrt{2^2\cdot 58}\implies AB=2\sqrt{58}$

so, add AC + AB + CB, and that's the perimeter of the triangle.

8 0

3 years ago

Help plz we this work

stepan [7]

Since it’s of 100, it’s how many squares are shaded in: 35
So it would be 35/100 or 35%
ANSWER: 35%

3 0

3 years ago

an administrator is asked to file papers in a box which has the following dimensions:height 15cm, width 300mm and depth 0.2m. ca

nalin [4]

Answer:

900cm^3

Step-by-step explanation:

1 cm= 10 mm

x=300mm (criss cross)

1cm*300mm/10mm= 10mm*x/10mm

30cm=x

30cm=300mm

1m=100cm

0.2m=x

1m*x/1m=0.2m*100cm/1m

x=0.2*100cm

x=20cm

0.2m=20cm

l=15cm

w=30cm

h=20cm

v=l*w*h

v=15cm*30cm*20cm

v=450cm^2*20cm

v=900cm^3

6 0

3 years ago

Read 2 more answers

Graph the system of inequalities. Then use your graph to identify the point that represents a solution to the system.

FrozenT [24]

Given:

The system of inequalities:

$x>3$

$y$

To find:

The point that represents a solution to the system by using the graph.

Solution:

We have,

$x>3$

$y$

The related equations of these inequalities are:

$x=3$

$y=2x-5$

The line $x=3$ is a vertical line that intersect the x-axis at 3.

The table of values for $y=2x-5$ is:

x y

0 -5

1 -3

Plot (0,-5) and (1,-3) on a coordinate plan and connect them by a straight line.

The boundary lines are dotted lines because the points on the lines are not included in the solution set.

Check the inequalities for (0,0).

First inequality: $0>3$ ( False)

Second inequality: $0$

$0$ (False)

Both inequalities are false for (0,0). It means the shaded region of the lines is in the opposite direction of (0,0).

Plot the shaded region and the points (-3, -1), (1, 11), (4, -1), (5, 6) as shown in the below graph.

From the below graph, it is clear that the point (4,-1) is the only point lies in the common shaded region. So, (4,-1) represents a solution to the system.

Therefore, the correct option is C.

5 0

3 years ago

Identify the initial amount a and the growth factor b in the exponential function. g(x) = 20 • 2x

olga_2 [115]

Answer:

Initial amount: 20

Growth factor: The amount doubles for every integer increase of x

Step-by-step explanation:

I think the equation should be g(x) = 20(2^x) for it to be exponential.

The general form of an exponential equation is g(x) = a(b^x), where a is the initial amount when x = 0, and b is the base, or growth factor.

We can see the amount double by evaluating a few value..

g(0) = 20(2^0) = 20(1) = 20 (initial amount)

g(1) = 20(2^1) = 20(2) = 40

g(2) = 20(2^2) = 20(4) = 80

g(3) = 20(2^3) = 20(8) = 160

This pattern will continue on

7 0

3 years ago