Multiply –8m(–6m – 7). –14m2 – 15m 48m2 + 56m –14m

Add 6.004 + 0.08 + 954 + 3.5 =

stiv31 [10]

The answer is 963.584.

3 0

2 years ago

Read 2 more answers

Find out if the 3 positions are on the same line or not (3,2,0) (1, -1,2) (5,5, 2)

sattari [20]

Answer:

The three positions are not on the same line.

Step-by-step explanation:

We have three points: A:(3,2,0), B:(1,-1,2) and C:(5,5,2).

Let's build a vector that goes from one point to another; that vector will be the director of a line (if we draw a vector that goes from A to B, that vector will be the direction of the line that pass by A and B because it does not change). In order to build that vector, let's subtract B from A:

$A-B=(3,2,0)-(1,-1,2)=(2,3,-2)$

The equation of a line is:

$p=p_0+rt$

Where p is every singular point of the line, $p_0$ is a particular point of the line (any that we are sure that it is on the line), r is the director vector and t is the independent variable.

Now we have the director vector: (2,3,-2), and we can verify that A and B are on the line:

$p=p_0+(2,3,-2)t$

Because there is a value for t that satisfies both A and B: If we do $p_0=(3,2,0)$ and t=0, we are going to obtain the point p=A; and if we do t=-1, we are going to obtain p=B. Let's see that:

$p=(3,2,0)+(2,3,-2)*0=(3,2,0)\\p=A\\p=(3,2,0)+(2,3,-2)*-1=(1,-1,2)\\p=B\\$

If C is also in the same line, C must accomplish the equation: $p=(3,2,0)+(2,3,-2)t$ , so:

$C=(5,5,2)=(3,2,0)+(2,3,-2)t$

Let's simplify the equation writing the parametric equation, which is just to write the equation for each dimension:

$5=3+2t\\5=2-3t\\2=-2t\\$

You can verify that there is not a value of t that satisfies all three equations, so, the point C is not on the same line as A and B; which means that A, B and C are not on the same line.

8 0

2 years ago

What's the relationship if ab=bc b=0

Lelu [443]

If you know that b=0, then ab=bc doesn't tell you anything about
'a' or 'c', because no matter what they are, it's always true.

7 0

3 years ago

Tina uses 50$ gift certificate to buy a pair of pajamas for 17.97, a necklace for 25.49, and 3 pairs of socks that each cost the

Gwar [14]

17.97 + 25.49 + 3x = 50.33
17.97 + 25.49 + 3x - 17.97 - 25.49 = 50.33 - 17.97 - 25.49
3x = 6.87
3x/3 = 6.87/3
x = 2.29 per pair of socks

8 0

3 years ago

Read 2 more answers

Please answer this question

Y_Kistochka [10]

$\bold{\huge{\underline{ Solution }}}$

Before answering the given question, you should know the difference between polygon and regular polygon. 

Polygon :- It is closed figure constitute of straight line having different measurements and also having varies angles.
Regular polygon :- It is also a closed figure constitute of straight lines which having equal measuresment and all the angles of the given polygon are equal .

There are different types of polygon based on the sides :-

A polygon having 3 sided called triangle ,having 4 sides called quadrilateral ,having 5 sides pentagon and so on.

<h3>Let's Begin :-</h3>

I have thought to make a 4 side polygon that is quadrilateral.

Steps of construction :-

Step - 1 :- Draw a 5 cm line AB horizontally
Step - 2 :- Then , From a point B, Draw a Vertical line of 5 cm and named it BC
Step - 3 :- Then, From a point C, Draw a horizontal line of 5 cm and named it CD
Step - 4 :- Now, join the line AD
Step - 5 :- Measure all the angles form by the 4 sides of the quadrilateral.