[7,8] is the difference between

2 vectors with components [a, 5] and

(-4,-3). What is a

Answer: YES

Step-by-step explanation:

THREE WAYS TO DETERMINE:

If the number given is in integer, it is rational.

If the number given is fraction, it is rational.

If the number given is decimal, as long as it is terminating or repetitive decimal, it is rational. (Because then you can write it as a fraction which leads to the second point)

----------------------------------------------------

-5 3/8

It is a fraction, which fits the second point.

Hope this helps!! :)

Slope-intercept form is: y = mx + b

m = slope

b = y-intercept

y + 3 = 4(x - 5)

Distribute the 4

y + 3 = 4x - 20

Subtract 3 from both sides.

y = 4x - 23

Answer:

Step-by-step explanation:

Slope intercept form...

y=mx+c

where, m=slope

c=intercept

y + 3 = 4(x - 5)

Open the Brackets.

y + 3 = 4x - 20

SUBTRACT 3 FROM BOTH SIDES.

y + 3 (-3)= 4x - 20 (-3)

Take note of the signs and solve.

y = 4x - 23

4 is the slope.

-23 is the intercept.

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Answer:

17.2 feet

Step-by-step explanation:

The ladder is placed 9 feet away from the fence, which is 1 foot away from the building. Therefore, the ladder is [tex]9+1=10[/tex] feet away from the building.

We know that the window is 14 feet above ground.

We now have a triangle which we need to find the hypotenuse of.

  /|      

/  |   14  

/_|

10

To find the hypotenuse, we can use the Pythagorean Theorem. This states that [tex]a^2+b^2=c^2[/tex], where a and b are the legs of a triangle and c is the hypotenuse.

The legs are 10 and 14, so lets substitute inside the equation.

[tex]10^2 + 14^2 = c^2\\\\100+196=c^2\\\\296=c^2\\\\c = \sqrt{296}\\\\c \approx 17.2[/tex]

Hope this helped!

Work Shown:

2/5 of 75 = (2/5)*75 = 0.4*75 = 30

Yesterday 30 people gave speeches. There are 75-30 = 45 people left.

1/3 of 45 = (1/3)*45 = 15

Then another 15 people gave speeches today. So there are 45-15 = 30 people who haven't given their speeches yet.

[tex]\text{Hello there! :)}[/tex]

[tex]x = 8\\\\AB = 128 \text{ units}[/tex]

-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

[tex]\text{Since Point M is the midpoint of AB, then:}\\\\AM = MB\\\\[/tex]

[tex]\text{Set the two equations equal to each other:}\\\\3x + 40 = x^{2} \\\\[/tex]

[tex]\text{Move all terms over to one side to simplify more easily:}\\\\0 = x^{2} - 3x - 40[/tex]

[tex]\text{Factor by finding numbers that sum up to -3 and multiply into -40:}\\\\0 = (x - 8)(x + 5)\\\\x = -5, 8[/tex]

[tex]\text{The length of a segment cannot be negative, so choose the positive solution:}\\\\x = 8[/tex]

[tex]\text{Substitute in this value of x into either AM or MB to solve for AB:}[/tex]

[tex]AB = 2(MB)\\\\AB = 2(x^{2} )\\\\AB = 2(8^{2})\\ \\AB = 2(64)\\\\AB = 128 \text{ units}[/tex]

Answer:

c the 3rd one

Step-by-step explanation:

hope this helps you.

Answer: Rational number

Step-by-step explanation:

Let's write out the properties of rational and irrational numbers.

Rational

Irrational

------------------------------------------------------------------------------------------------------------

Looking at the list we made, we can say that -20 is a rational number. -20 is an integer and a whole number. Therefore, it is a rational number.

Answer:

a) 249 = 249 or 2.49 × 10²

b) - 100 = - (10)²

c) 10 + 7169 = 7179

Step-by-step explanation:

Answer:

Whatever y is you turn it to what x is plus a negative Ex: T(10, 9) U(0,9) V(0,0) W(10,0) Those are the answers.

Step-by-step explanation:

Did this help???

Step-by-step explanation:

a. Your answer is correct.  The trend is that obesity rate increases with the number of fast food restaurants per capita.  Since Mississippi has a high obesity rate and number of fast food restaurants per capita, it goes against the trend.  It is an outlier in terms of the relationship.

b. The number of restaurants per capita is between 2 and 6 for most states.  Mississippi's number of restaurants per capita is within this range, so it is not an outlier.

c. The obesity rate is between 22 and 38 for most states.  Mississippi's obesity rate is within this range, so it is not an outlier.

Well, this should be a bit easy.

We can move the negative sign to the denominator:[tex] \frac{3}{-8}[/tex]

We can also multiply the entire fraction by an integer.

( I would perfer [tex] \frac{3}{-8}[/tex] as the answer)

:)

Answer:

[tex]\frac{36}{7}[/tex]hours

Step-by-step explanation:

First let's get the flat fee of 14 out of the way, because he wants to earn 86 dollars and the 14 dollar fee is the y intercept.

[tex]86-14 = 72[/tex]

We would then divide 72 by the slope (14 per hour) to see how many hours he has to work:

[tex]72/14 \approx5.14285714286[/tex]

I would just simplify because this decimal isn't exact

[tex]72/14 = 36/7[/tex]

So 36/7 hours

Answer:

280 miles

Step-by-step explanation:

We want to determine what speed Camden is going first so we can find the distance. To do so, you can divide the total miles (320) by the number of hours (8) to find he is driving 40 miles per hour. Then, you can take that and multiple it by the number of hours he will drive (7) to get 280 miles. I hope this helps! :)

Answer:

4 blueberries and 6 strawberries

Step-by-step explanation:

Steps to solve:

-3x - 9y = 18

~Add 3x to both sides

-9y = 18 + 3x

~Divide -9 to everything

y = -1/3x - 2

Best of Luck!

Answer:

The decimal 0.9988 to a fraction is 9988/10000

Answer:

9988

_____

10,000

Step-by-step explanation:

I got it correct on test :)))

Answer:

33

Step-by-step explanation:

I am did my diagnostic too.

The required chance of that a random donor has type A blood is given as 11/25. Option B is correct.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Total blood donor = 31 + 33 + 9 + 2 = 75
Donors has type A blood = 33

Now, the chance that a random donor has type A blood,

= Donors has type A blood / Total blood donor

= 33 / 75
= 11 / 25

Thus, the required chance of that a random donor has type A blood is given as 11/25.

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Answer:

112 difference in tempature

Step-by-step explanation:

multiply 4x28

Answer:

12z−32

Step-by-step explanation:

Distribute:

=(−4)(z)+(−4)(3)+(−4)(5)+(−4)(−4z)

=−4z+−12+−20+16z

Combine Like Terms:

=−4z+−12+−20+16z

=(−4z+16z)+(−12+−20)

=12z+−32

Answer:

37:60

Step-by-step explanation:

Change 1 hour into minutes= 60 minutes

37 minutes: 60 minutes

The ratio of times Dan and David take as a ratio in its simplest form is,

60 : 37.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, Dan and David are marking exam papers.

Each set takes Dan 37 minutes and David 1 hour or 60 minutes.

Therefore, The ratio of time taken by Dan and David is

60 : 37.

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Answer:

Look below

Step-by-step explanation:

9(-4) is the same as 9*(-4) so it equals -36.

-36/-3=positive 12 so ye. The answer is 12

Answer:

80.80

Step-by-step explanation:

3394/42 simplified would be 1697/21

as a mixed form it would be 80 and 17/21

As a decimal, 80.809...

Hope this helps :)

Answer:

You haven't attached a picture but this is what your line should look like

Step-by-step explanation:

For this equation you simply have to graph it.

First, you have to remember that these equations follow a formula: y=mx+b. m is the slope of you line and b is the y-intercept.

Next, you need to graph it. First, graph your b, in this case 2. You would go up 2 on you graph (graph (0,2)). Then, you would graph your slope which is 3.

Now, remember that slope equals y/x, so think of the number 3 being like 3/1. You would start at (0,2) and go up 3 points in the graph, then over 1 point (graph where you end up). You repeat that from each new point you make until you have enough points to create a straight line.

Hope this helps a bit,

Flips

The value of graph of function y = 3x + 2 is shown in figure.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

The equation of line is,

y = 3x + 2

Now, The value of y - intercept of the equation is,

⇒ 2

⇒ (0, 2)

Thus, The value of graph of function y = 3x + 2 is shown in figure.

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