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Leto [7]
3 years ago
8

Use the graph to write a linear function that relates y to x .

Mathematics
1 answer:
sergiy2304 [10]3 years ago
8 0

Answer:

2y = x + 2

Step-by-step explanation:

Looking at the graph, we can see from one point to the next (from right to left), the x-value rises by 2 and the y-value by 1;

From this we can work out the gradient between two points using the formula, i.e. the change/difference in y divided by the change/difference in x:

m = \frac{dy}{dx} = \frac{1}{2}

Joining the points gives a straight line, which means a constant gradient of ¹/₂

Use the line equation formula to get the function:

y - y₁ = m(x - x₁)

m = ¹/₂

x₁ = 0

y₁ = 1

y - 1 = ¹/₂.(x - 0)

y - 1 = ¹/₂.x

2y - 2 = x

2y = x + 2

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Answer this please please please please please ​
Sergio [31]

Answer:

4.5 cm

Step-by-step explanation:

Circunference = 2π*radius = 2*3.14*radius = 6.28*radius = 28.26

so radius = 28.26/6.28 = 4.5 cm

8 0
1 year ago
Find two consecutive whole numbers that square root 97 lies between
lora16 [44]

Answer: 9 and 10

Step-by-step explanation:

To understand this question we need to first understand how to solve square root equations! The easiest way to learn how to solve square root problems is by finding the reverse of the problem.

For example, if you tried to find the square root of 25, you would reverse the problem to do 5^2 = 5 x 5 = 25.

So if we were to implement this problem, we would look at these two whole numbers.

9^2 = 9 x 9 = 81

10^2 = 10 x 10 = 100

Thus meaning that the only two numbers that the square root of 97 lies between can be 9 and 10!

It's important to rely on your knowledge of multiplication to develop a strong base for square roots.  

8 0
2 years ago
Read 2 more answers
Five times the sum of number and 27 is greater than or equal to six times the sum of that number and 26. What is the
raketka [301]

Answer:

x \geq -21

Step-by-step explanation:

Let the number be x.

Translating the word problem into an algebraic equation, we have;

5(x + 27) \geq 6(x + 26)

Opening the bracket, we have;

5x + 135 \geq 6x + 156

Collecting like terms, we have;

6x - 5x \geq 135 - 156

x \geq -21

8 0
2 years ago
Idenify the numbers that are located below -3.5 on a vertical number line
belka [17]

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The numbers that are located below -3.5 on a vertical number line are (-∞,-3.5).

<h3>What is a number line?</h3>

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.

The numbers that are located below -3.5 on a vertical number line are all the numbers that are less than -3.5. The numbers that are located below -3.5 on a vertical number line are (-∞,-3.5).

Learn more about the Number line:

brainly.com/question/557284

#SPJ1

6 0
2 years ago
Which of the following points are solutions to the system of equations
JulsSmile [24]

Answer:

A,D

Step-by-step explanation:

I KNOW BECAUSE I KNOW THAT HOW

7 0
2 years ago
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