Solve the system of equations using substitution or graphing.

Name

kaheart [24]

Answer:

Slope is -2/7

Step-by-step explanation:

Slope formula is y₂-y₁/x₂-x₁

So...

(x₁,y₁) and (x₂,x₂) →(2,2) and (-5,4)

4-2= 2

-5-2= -7

2/-7

3 0

3 years ago

Read 2 more answers

You are making a scale drawing with a scale of 2 in. = 17 ft. Explain how you find the length of the drawing of an object that h

makkiz [27]

Answer:

Step-by-step explanation:

If 2in represented 17ft

Then 51ft will give (51×2)/17 in

= 6in

4 0

2 years ago

A _[blank 1]_ is a number whose only factors are 1 and itself. If a number has other factors besides 1 and itself, it is called

kykrilka [37]

Numbers whose only factors are 1 and itself is known as prime numbers , numbers whose factors besides 1 and itself are composite numbers, we can use the sieve of Eratosthenes to determine whether the number is prime or composite.

Given a paragraph in which there are blanks:

A _____ is a number whose only factors are 1 and itself. If a number has factors besides 1 and itself, it is called a _____. You can use divisibility rules or _______ to help you determine whether a number is prime or composite.

We are required to fill the blank with appropriate options.

We have to fill "prime numbers" in the first blank.

We have to fill "composite numbers" in the second blank.

We have to fill "the sieve of Eratosthenes" in the third blank.

Hence numbers whose only factors are 1 and itself is known as prime numbers , numbers whose factors besides 1 and itself are composite numbers, we can use the sieve of Eratosthenes to determine whether the number is prime or composite.

Learn more about prime numbers at brainly.com/question/145452

#SPJ1

3 0

1 year ago

A Chemist needs to mix a 20% acid solution with a 50% acid solution to obtain 15 liters of a 34% acid solution. How many liters

Nuetrik [128]

8 litres (amount of 20% solution needed) and 7 litres for (amount of 50% solution needed)

<u>Step-by-step explanation:</u>

Let consider ‘x’ for 20% acid solution and (15 – x) for 50% acid solution. And so, the equation would be as below,

20% in x + 50% in (15 – x) = 15 litres of 34%

Convert percentage values, we get

0.20(x) + 0.50 (15 – x) = 15 (0.34)

0.20 x + 7.5 – 0.50 x = 5.1

-0.3 x + 7.5 = 5.1

0.3 x = 7.5 – 5.1

0.3 x = 2.4

$x = \frac{2.4}{0.3} = 8 litres (amount of 20 \% solution needed)$

Apply ‘x = 8’ value in (15 – x) we get,

15 – 8 = 7 litres

The value of 7 litres for (amount of 50% solution needed)

8 0

2 years ago

A regular octagon has a radius of 6 ft and a side length of

Svetlanka [38]

Answer:

<h2>Area of the regular octagon is approximately 102ft²</h2>

Step-by-step explanation:

Given the radius and length of a side of regular octagon as shown;

radius = 6ft and length of side = 4.6ft

Area of a regular octagon is expressed as $A = 2(1+\sqrt{2} )a^{2}$ where a is the length of one side. Given a = 4.6ft

Area = $A = 2(1+\sqrt{2} )(4.6)^{2}\\$

$= 2(1+\sqrt{2} )*21.16\\= (2+2\sqrt{2})*21.16\\ = 4.83*21.16\\= 102.20ft^{2} \\$

Area of the regular octagon is approximately 102ft²

3 0

3 years ago