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3 years ago

True or false: The following table is linear.

Mathematics

2 answers:

sattari [20]3 years ago

7 0

The table is linear because it goes up at a consistent rate each time.

USPshnik [31]3 years ago

5 0

Answer:

True

Step-by-step explanation:

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Graph the line passing through the given point and having the given slope (0,3), m=4

andriy [413]

Hint :-

To find out the equation of the line we can use the point slope form of the line which is $y - y_1 = m(x-x_1)$

Solution :-

The given point to us is , $(0,3)$ and the slope of the line is 4 . On using the point slope form , we have ,

$\implies y - y_1= m(x-x_1) \\\\\implies y-3 = 4(x-0) \\\\\implies y -3 = 4x \\\\\implies \boxed{ 4x - y + 3 =0}$

Hence the equation is 4x - y + 3 = 0 

( for graph , see attachment ) .

3 0

2 years ago

Find an equation for those points P such that the distance from P to A(0, 1, 2) is equal to the distance from P to B(6, 4, 2). W

suter [353]

Answer: The required equation for points P is $4x+2y=17.$

Step-by-step explanation: We are give two points A(0, 1, 2) and B(6, 4, 2).

To find the equation for points P such that the distance of P from both A and B are equal.

We know that the distance between two points R(a, b, c) and S(d, e, f) is given by

$RS=\sqrt{(d-a)^2+(e-b)^2+(f-c)^2}.$

Let the point P be represented by (x, y, z).

According to the given information, we have

$PA=PB\\\\\Rightarrow \sqrt{(x-0)^2+(y-1)^2+(z-2)^2}=\sqrt{(x-6)^2+(y-4)^2+(z-2)^2}\\\\\Rightarrow x^2+y^2-2y+1+z^2-4z+4=x^2-12x+36+y^2-8y+16+z^2-4z+4~~~~~~~[\textup{Squaring both sides}]\\\\\Rightarrow -2y+1=-12x-8y+52\\\\\Rightarrow 12x+6y=51\\\\\Rightarrow 4x+2y=17.$

Thus, the required equation for points P is $4x+2y=17.$

8 0

3 years ago

HELP Sam measures the height of 7 different scoops of ice cream. The mean of the heights was 3.8 cm. Which of the following best

OLga [1]

Sam measures the height of 7 different scoops of ice cream. The mean height was 3.8 cm. If all the scoops are evenly distributed, they would all be 3.8 cm tall.

<h3>How to find the mean value of a data set?</h3>

The mean value of the data set is the ratio of the sum of the data set's values to the number of values it has.

If the data set consists of values

x_1, x_2, ..., x_n

, then we get the mean value as:

$\overline{x} = \dfrac{x_1 + x_2 + \cdots + x_n}{n}$

Sam measures the height of 7 different scoops of ice cream. The mean height was 3.8 cm.

$\overline{x} = \dfrac{x_1 + x_2 + \cdots + x_n}{n}$

mean= $\dfrac{(a+b+c+d+e+f+g)}{7}$

Therefore, If all the scoops are evenly distributed, they would all be 3.8 cm tall.

Learn more about mean;

brainly.com/question/23008823

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8 0

2 years ago

Read 2 more answers

I don't really understand what I suppose to do here so please help me with the question

AlekseyPX

Answer:

look at the time for example, B's time is constant because it isn't skipping numbers like 1, 5, 3,etc.

the height is also constant because it is dividing each number by 2, 60÷2=30, 30÷2=15, 15÷2=7.5. You will notice A is not constant so (no) but B is so (yes)

5 0

3 years ago

Daniel has $5000 in a savings account, has $7000 in investments, owns a

scoundrel [369]

Answer:

Step-by-step explanation:

Not A. Not B. Not D. C.

4 0

3 years ago

Read 2 more answers