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3 years ago

Graham graphs the following system of equations to determine its solution.

Mathematics

1 answer:

V125BC [204]3 years ago

3 0

Answer: (2,2)

Step-by-step explanation:

I'm going to use substitution to solve this:

First, I use the second equation to solve for y in terms of x.

2x - y = 2

-y = 2 - 2x

y = 2x - 2

Then, I plug the value for y into the first equation:

2x + 4y = 12

2x + 4(2x - 2) = 12

2x + 8x - 8 = 12

10x - 8 = 12

10x = 20

x = 2

Now that we have x, we can plug it into either equation (I used the first) to get the value for y:

2x + 4y = 12

2(2) + 4y = 12

4 + 4y = 12

4y = 8

y = 2

We get the point (2,2) as a solution.

Note: This is the point where both lines intersect.

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Answer:

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2 years ago

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3 years ago

Given that h(x)=x³-2, evaluate h(4) pls help me!

ahrayia [7]

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

The problem want's to find h(4)

$\hookrightarrow \text{4 in this case is the x's value}\\$

$\hookrightarrow\text{This means that we must plug in x into x's position in h(x)'s equation}$

$h(4) = (4)^3-2=64-2=62$

Answer: h(4) = 62

Hope that helps!

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2 years ago

Is the triangle a right triangle? 4 6 7 Is this a right triangle?

Bingel [31]

Answer:

Step-by-step explanation:

Given :-

A triangle with some side measure .
The sides are 4 ,6,7.

And we need to tell whether it is a right angled triangle or not . It will be a right angled triangle if it follows the Pythagoras Theorem.

Pythagoras Theorem :-

In right angle triangle the sum of squares of the two smallest sides is equal to the square of the largest side .

Here the two smallest sides are 4 & 6 .

Sum of Squares of 4 and 6 :-

$:\implies$ 4² + 6²

$:\implies$ 24 + 36

$:\implies$ 60

Square of 7 :-

$:\implies$ 7²

$:\implies$ 49

And :-

They aren't equal. So the triangle is not a right angled triangle .

Hence the triangle is not a right angle triangle.

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3 years ago

Read 2 more answers

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