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3 years ago

Use the information given to enter an equation in standard form.

Mathematics

1 answer:

Kruka [31]3 years ago

3 0

Answer:

y=1.6x-8.4

Step-by-step explanation:

First, find the slope which is y 2 minus y 1 divided by x 2 minus x 1

Slope= 16/10 or 1.6

So now it is y=16/10x + b or y=1.6x+b

Now pick a random coordinate and substitute to find y intercept we can use the first one (29,38)

38=1.6(29)+b

y intercept = -8.4

Equation is y=1.6x - 8.4 or y=16/10x - 8.4

Hoped this helped :)

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A single die is rolled one time. Find the probability of rolling a number greater than 4 or less than 3.

Vika [28.1K]

Answer:

The probability of rolling a number greater than 4 or less than 3 is $\frac{2}{3}$

Solution:

In the given question there are two events as follows:

(a) Rolling a number greater than 4 i.e. A = {5,6}

(b) Rolling a number less than 3 i.e. B = {1,2}

Since a die has 6 numbers,

P(A) = $\frac{2}{6}$ where P(A) is the probability of occurrence of event A and P(B) = $\frac{2}{6}$

Since, Event A and Event B has nothing in common therefore they are mutually exclusive events.

P(A∪B) = P(A) + P(B)

$=\frac{2}{6}+\frac{2}{6}$

$=\frac{4}{6}$

$=\frac{2}{3}$

Therefore the probability of getting a number greater than 4 or less than 3 is $\frac{2}{3}$

7 0

3 years ago

Find the perimeter RST. Round answer to the nearest tenth Show all the work

kow [346]

Answer:

35.1 units

Step-by-step explanation:

Imagine a right-angled triangle with RS as hypotenuse. The base would be 3 units and the height would be 6 units. By Pythagorus:

RS²=3²+6²

RS= $\sqrt{45}$ ≈6.7 units

Imagine a right-angled triangle with RT as hypotenuse. The base would be 9 units and the height would be 12 units. By Pythagorus:

RT²=9²+12²

RT= $\sqrt{225}$ = 15 units

Imagine a right-angled triangle with TS as hypotenuse. The base would be 12 units and the height would be 6 units. By Pythagorus:

TS²=12²+6²

TS= $\sqrt{180}$ ≈13.4 units

Perimeter=RS+RT+TS

=6.7+15+13.4

=35.1 units

6 0

3 years ago

Stuck on #3 Need help on formula

hram777 [196]

6x4= 24

24 possible outcomes

8 0

3 years ago

What should be subtracted from -8xy + 2x^2 + 3y^2 to get x^2 + 2

Minchanka [31]

Answer:

x^2 - 8xy + 3y^2 - 2

Step-by-step explanation:

(-8xy + 2x^2 + 3y^2) - unknown = x^2 + 2

- unknown = x^2 + 2 + 8xy - 2x^2 - 3y^2

- unknown = -x^2 + 8xy - 3y^2 + 2

Unknown = x^2 - 8xy + 3y^2 - 2

Check:

(-8xy + 2x^2 + 3y^2) - (x^2 - 8xy + 3y^2 - 2)

= -8xy + 2x^2 + 3y^2 - x^2 + 8xy - 3y^2 + 2

= -8xy + 8xy + 2x^2 - x^2 + 3y^2 - 3y^2 + 2

= x^2 + 2

8 0

3 years ago

Can someone check my anserws pls

Kay [80]

Answer:

Which of the following are prime numbers: (3, 4, 5, 6, 7)

The answer is B 3, 5, 7

Which of the following are prime numbers: (21, 23, 25, 27, 29)

The answer is D 23, 29

Fill in the blanks: All_____ numbers are considered composite except for the number__.

The answer is B even, 2

Which of the following are composite numbers: (31, 33, 35, 37, 39)

The answer is C 33, 35, 39

What is a composite number?

The answer is C A number with more than two factors

What are the factors of 12?

The answer is A 1, 2, 3, 4, 6 & 12

Which of the following are composite numbers: (70, 71, 71, 73, 74)

The answer is B 71, 73

What would you consider the number 1?

The answer is D neither

Step-by-step explanation:

A prime number has only two factors, no more no less.

A composite number has more than two factors.

The number 1 is neither because it doesn't have two factors to be a prime number, nor does it have more than two factors to be a composite number. It has only one factor.

I hope this helped.

7 0

2 years ago