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VashaNatasha [74]

3 years ago

9

Simultaneous Equations: Find the two intersects of x^2 + y^2 = 25 and y = 2x - 2

1 answer:

Yakvenalex [24]3 years ago

7 0

X^2 + y^2 = 25 (1)
y = 2x - 2 (2)

Subs (2) into (1)

x^2 + (2x - 2)^2 = 25
• Expand the eq like below

x^2 + (2x-2)(2x-2) = 25

x^2 + 4x^2 + 4x - 4x + 4 = 25
• Cancel out 4x-4x which is equals to zero

5x^2 = 25
• Divide both sides with 5

x^2 = 5
• To remove the square (^2) on the x, you need to square root both sides

x = 5 or x = -5

Subs x = 5 and x = -5 into (2)

y = 2x - 2
y = 2(5) - 2 = 10 - 2 = 8

y = 2x - 2
y = 2(-5) - 2 = -10 - 2 = -12

Therefore the intersection points are:

x=5, y= 8
x= -5, y= -12

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Rina8888 [55]

{0, 2, 1/2}

f(h) = 0 when any set of parenthesis equals zero

1. h = 0

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5 0

3 years ago

Rosa believes she can use a division expression to find the cost per pound of ground beef when 1 pound sells for $4. Which state

DiKsa [7]

Answer:

Rosa is correct in using a division expression because the term "per" implies the quotient of the quantities before and after that word.

Step-by-step explanation:

Given that

1 pound of ground beef sells for $4.

To find the cost per pound:

We need to divide the cost with the number of pounds.

i.e.

$\text{Cost per pound = }\dfrac{\text{Total Cost}}{\text{Number of pounds}}$

If 'Number of pounds' = 1, then cost per pound = Total Cost

Therefore, the above division expression can be used to find the Cost pound.

Putting the values given to find the 'Cost per pound':

$\text{Cost per pound = }\dfrac{\$4}{1} = \$4$

Therefore, Rosa's belief is correct that, a division expression can be used.

The correct answer is:

Rosa is correct in using a division expression because the term "per" implies the quotient of the quantities before and after that word.

6 0

3 years ago

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Aloiza [94]

Sorry if it’s wrong but I think it’s like that

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Scott earns $16.85 per hour at his job. He works 7 hours per day, 4 days per week. What is Scott’s gross monthly income for 4 we

Sladkaya [172]

His gross income for 4 weeks is:
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3 years ago

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dybincka [34]

we know that

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3 years ago