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aksik [14]
4 years ago
15

Recall the equation for a circle with center ( h , k ) (h,k) and radius r r. At what point in the first quadrant does the line w

ith equation y = 2.5 x + 2 y=2.5x+2 intersect the circle with radius 6 and center (0, 2)?
Mathematics
1 answer:
garri49 [273]4 years ago
7 0
Equation of this circle is
x^2 + (y - 2)^2 = 36
y = 2.5x + 2

Substitute for y in the equation of the circle:-

x^2 + (2.5x + 2 - 2)^2 = 36

x^2 + 6.25x^2 = 36

x^2 = 36 / 7.25  

x = +/-   6  /  2.693  =  +/- 2.228

when x = 2.228 y = 2.5(2.228) + 2 =  7.57    to nearest hundredth

when x = -2.228 y = 2.5(-2.228) + 2 =   -3.57

So they intersect at 2 points but the intersect in the first quadrant is at (2.23, 7,57)        to nearest hundredth.
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HIJK is a rectangle. Find the value of x and find the length of each diagonals. If hj=19+2x and ik=3x+22
viva [34]
Hj  and ik are  opposite sides of the rectangle so they areequal in length.

19 + 2x = 3x + 22
19-22 = 3x-2x
x = -3 

We can't find the length of the diagonals as we have no information about the width.
8 0
4 years ago
2(x-3) = (x-1) + 7<br><br> Please show your steps!!
andre [41]
Simplify the equation.

First, distribute the 2 in the left side of the equation.
Resulting in: 2x-6 = (x-1) + 7

Second, remove the parentheses form the right side of the equation (there is nothing to distribute there).
Resulting in: x - 1 + 7

Now simplify the right side of the equation by subtracting the 1 from the 7.
Resulting in: x + 6

Our goal is to isolate the x to the left side, and the numerals to the right side.
With that in mind, add the 6 (from the right side) to both sides. This cancels out the 6 on the right side.
Resulting in: 2x = 12

Lastly, in order to fully isolate the variable (x), we divide both sides by 2.
Resulting in: x = 6

Hope this helps.
6 0
3 years ago
Read 2 more answers
Solve this equation 1/3t - 8 = -6
VARVARA [1.3K]

Answer:

t=6

Step-by-step explanation:

5 0
3 years ago
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Point G is the point (3,-1). Which point is 5
Georgia [21]

Answer:

pretty sure the answer is B hope this helps!

5 0
3 years ago
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A spinner is divided into two equal parts, one red and one blue. The set of possible outcomes when the spinner is spun twice is
Hunter-Best [27]

A 2-column table that has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 5, 0. 25.

<h3>What is Probability?</h3>

The probability helps us to know the chances of an event occurring.

\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

We know about the probability, therefore, let's find the probability of each of the cases.

When the number of success of the spinner landing on blue is none, therefore, the spinner does not land on the blue color at all.

\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

Now, as it is given that there is only one case when the spinner does not land on the blue side(RR) in the set, S = {RR, RB, BR, BB}. therefore,

\rm{Probability(X=0)=\dfrac{1}{4} = 0.25

When the number of success of the spinner landing on blue is just once, therefore, the spinner does land on the blue color only once out of the two spin.

\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

Now, as it is given that there are two cases when the spinner does land on the blue side(RB, BR) in the set, S = {RR, RB, BR, BB}. therefore,

\rm{Probability(X=1)=\dfrac{2}{4} = 0.25

When the number of success of the spinner landing on blue is twice, therefore, the spinner does land on the blue color both the times the spinner is spun.

\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

Now, as it is given that there is only one case when the spinner does land on the blue side twice(BB) in the set, S = {RR, RB, BR, BB}. therefore,

\rm{Probability=\dfrac{1}{4} = 0.25

Now, if we draw the table of the data and the probability we will get the following table,

x             P(X)

0           0.25

1            0.50

2           0.25

Hence, the table that is correct is table A, which is  A 2-column table that has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 5, 0. 25.

Learn more about Probability:

brainly.com/question/795909

8 0
2 years ago
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