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Ivanshal [37]
3 years ago
7

Which set of numbers includes only whole numbers? Rational Numbers Integers Whole Numbers 7. -4, 5.0​

Mathematics
1 answer:
Marysya12 [62]3 years ago
5 0

Answer:

2, 5, 8, 15

Step-by-step explanation:

The set of whole numbers is: 0, 1, 2, 3, ...

It includes zero but no negative numbers.

Answer: 2, 5, 8, 15

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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
3 years ago
Solve the inequality for x. Show each step of the solution. 2x>4(3x-5)-20
Elden [556K]

Answer:

x>4

Step-by-step explanation:

2x>4(3x-5)-20

2x>12x-20-20

2x>12x-40

2x-12x>-40

-10x>-40

x>4

8 0
3 years ago
Four sisters bought a present for their father. They received a 10% discount on the original price of the gift. After the discou
Pani-rosa [81]
9 dollars represents 90% of the cost. Divide 9 by 0.90 to get the original price, 10 dollars
8 0
3 years ago
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In a circle of radius 10 cm, a sector has an area of 40 (pi) sq. cm. What is the degree measure of the arc of the sector?
Rashid [163]

Answer:

144°

Step-by-step explanation:

First, find the area of the circle, with the formula A = \pir²

Plug in 10 as the radius, and solve

A = \pir²

A = \pi(10²)

A = 100\pi

Using this, create a proportion that relates the area of the sector to the degree measure of the arc.

Let x represent the degree measure of the arc of the sector:

\frac{40\pi }{100\pi } = \frac{x}{360}

Cross multiply and solve for x:

100\pix = 14400\pi

x = 144

So, the degree measure of the sector arc is 144°

6 0
3 years ago
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Find the measure of WY
Kipish [7]

Answer: WY=4.4 mm

Step-by-step explanation:

WY=WX/2

WY=8.8/2

WY=4.4 mm

6 0
1 year ago
Read 2 more answers
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