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2 years ago

Solve the system of equations. y = 6x y= x^2 +5

Mathematics

2 answers:

kirza4 [7]2 years ago

4 0

Answer:

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Step-by-step explanation:

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MrRa [10]2 years ago

3 0

You can solve using substitution for system of equations.

So you have
y = 6x
and y = x^2 + 5

But it is also true that
y = y
since they are the same variable.

That means both y value equations are equal too:

y = 6x = y = x^2 + 5
So
6x = x^2 +5

Solve for x.
x^2 - 6x + 5 = 0
Factor to
(x-1)(x-5) = 0
x-1 = 0, x = 1
x-5 = 0, x = 5
So the two x-coordinate values will be (1,y value) and (5,y value)

Now to find y we use the original equations and we plug in the x values we found.

y = 6(1) = 6
y = (1)^2 + 5 = 6
So when x = 1, y = 6,
the coordinate is (1,6)

y = 6(5) = 30
y = (5)^2 + 5 = 30
When x = 5, y = 30
The coordinate is (5,30)

The answer is (1,6) and (5,30), which is A

You might be interested in

. Given that O is the centre of the following circle, find the values of the unknowns.

alex41 [277]

Given:

Radius of circle is 13 cm

Height of triangle is 5 cm

To find:

Value of 'a' and 'b'

Steps:

To find value of 'a', we will use Pythagoras theorem as the triangle is a right angle triangle,

A² + B² = C²

$a^{2} + 5^{2} = 13^{2}$

$a^{2} + 25 = 169$

$a^{2} = 169 - 25$

$a^{2} = 144$

$\sqrt{a^{2}}=\sqrt{144}$

$a = 12$

Now to find the value of 'b', i will use law of cosine,

$c=\sqrt{a^{2}+b^{2}-2ab(cos\beta ) }$

$12 = \sqrt{13^{2}+5^{2}-2(5)(13)(cos\beta )}\\12=\sqrt{169 + 25-130(cos\beta )}\\12=\sqrt{194-130(cos\beta )}\\144 = 194 - 130(cos\beta )\\50 = 130(cos\beta )\\cos\beta = 0.3846\\\beta = cos^{-1}(0.3846)\\\beta = 67.38$

Therefore, the values of 'a' and 'b' is 12 and 67.38 respectively

Happy to help :)

If u need any help feel free to ask

3 0

3 years ago

If set D is not the empty set but is a subset of set E, then which of the following is true?

MrRa [10]

D∩E=D This is because since D is a subset of E then the elements they will have in common are the elements in D and D is not a null set

3 0

3 years ago

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Help me out really quick<br> is 18/28 passing?<br> thx again

ioda

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Step-by-step explanation:

8 0

3 years ago

Choose the equation for the relationship shown in the graph.

uysha [10]

Answer:

B) y = x - 50

Step-by-step explanation:

It is B because the graph's y-intercept lies on the point (0, -50), hence the equation, y = x <u>- 50</u>. In addition, you can verify that B is the correct answer because the slope of the graph is positive, and so the x-value also must be positive.

7 0

1 year ago

I dont understand it (7×5)+(6×4)

Levart [38]

Step-by-step explanation:

7 × 5 = 35

6 × 4 = 24

35 + 24 = 59

because 4 + 5 is 9 and 3 + 2 is 5

so 59

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2 years ago

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