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erma4kov [3.2K]
3 years ago
8

Explain in a minimum of 2 sentences how to graph the equation of the absolute value function given a vertex of (-1,3) and a valu

e of “a” equal to ½.
Mathematics
1 answer:
VladimirAG [237]3 years ago
7 0
This would be y = |x+1| + 3
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Determine the points of intersection of the line y=2x+5 and the circle x²+y²=36
Vladimir79 [104]

The two intersection points are (-2.79,  -0.58) and (0.79,  6.58).

<h3>How to find the points of intersection?</h3>

Here we want to solve the system of equations:

y = 2x + 5

x² + y² = 36

To solve this, we need to replace the first equation into the second one:

x² + (2x + 5)² = 36

Now we can solve this for x:

x² + 4x² + 10x + 25 = 36

5x² + 10x - 11 = 0

This is a quadratic equation, to solve it we use the general formula:

x = \frac{-10 \pm \sqrt{10^2 - 4*5*(-11)} }{2*5} \\\\x = \frac{-10 \pm 17.9 }{10}

So we have two solutions for x:

x = (-10 - 17.9)/10 = -2.79

x = (-10 + 17.9)/10 = 0.79

To get the y-values of the solutions, we evaluate the linear equation in these values of x:

y = 2*(-2.79) + 5 = -0.58

y = 2*( 0.79) + 5 = 6.58

Then the two intersection points are (-2.79,  -0.58) and (0.79,  6.58).

If you want to learn more about intersection points:

brainly.com/question/17206319

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5 0
2 years ago
How do i answer this question 5*(8-4)/4-2
NemiM [27]

the answer is 3

but a way to work these problems out is to use PEMDAS

p-parentheses

e-exponent

m-multiplication

d-division

a-addition

s-subtraction

they  have to be donr in that order or the answer will come out different  

6 0
3 years ago
Bailey saves money at the end of each month. The function f(x) = 10x + 50 models the total amount he has saved after 'x' months.
kozerog [31]

Answer:

  • D) all non-negative integers

Step-by-step explanation:

The function f(x) = 10x + 50 models the total amount he has saved after 'x' months.

The domain is x-values, which is the number of the months.

x can only be zero or positive integers (since you can save after the month is complete), therefore the last option is correct.

6 0
3 years ago
Read 2 more answers
What is the distance around a triangle that has sides measuring 2/18 feet 3/12 feet and 2/12 feet
Minchanka [31]
The distance around an object is called the perimeter. To get the perimeter, you add up the sides. So, 2/18 + 3/12 + 2/12 = your answer.


4 0
3 years ago
At the time she had $237 ,the cost of a lesson rose to &amp;19.how many lesson can she pay for with remaining &amp;237
ad-work [718]
12.5, just divide 237 by 19
8 0
3 years ago
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