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castortr0y [4]
2 years ago
15

A number from 1-30 is randomly selected, followed by a letter from the word TARGET. What is the probability of selecting a perfe

ct square, then the letter T?
Mathematics
1 answer:
Arisa [49]2 years ago
6 0

Answer:

21

Step-by-step explanation:

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Given the parabola below, find the endpoints of the latus rectum. (x-2)^2=-20(y+2)
Shtirlitz [24]

Answer:

The endpoints of the latus rectum are (12, -7) and (-8, -7).

Step-by-step explanation:

A parabola with vertex at point C(x, y) = (h,k) and whose axis of symmetry is parallel to the y-axis is defined by the following formula:

(x-h)^{2} = 4\cdot p \cdot (y-k) (1)

Where:

y - Independent variable.

x - Dependent variable.

p - Distance from vertex to the focus.

h, k - Coordinates of the vertex.

The coordinates of the focus are represented by:

F(x,y) = (h, k+p) (2)

The <em>latus rectum</em> is a line segment parallel to the x-axis which contains the focus. If we know that h = 2, k = -2 and p = -5, then the latus rectum is between the following endpoints:

By (2):

F(x,y) = (2, -2-5)

F(x,y) = (2,-7)

By (1):

(x-2)^{2} = -20\cdot (-7+2)

(x-2)^{2} = 100

x - 2 = \pm 10

There are two solutions:

x_{1} = 2 + 10

x_{1} = 12

x_{2} = 2-10

x_{2} = -8

Hence, the endpoints of the latus rectum are (12, -7) and (-8, -7).

4 0
2 years ago
What's 9+10=?<br>What's 9+10=?<br>What's 9+10=?<br>What's 9+10=?​
dangina [55]

Answer:

19

Step-by-step explanation:

Its 19

9+10 is 19

Yeah

im just putting random words so it'll let me post this

7 0
2 years ago
Read 2 more answers
What is the value of 16 - 3k + 5 when k = 4?
DENIUS [597]

Answer:

9

Step-by-step explanation:

Substitute 4 as k into the equation.

16 - 3(4) + 5

simplify

16 - 12 + 5

4 + 5

9

The answer is 9.

7 0
3 years ago
Read 2 more answers
The ratio of boys to girls in a class is 3:4. There are 35 students in the class. How many students are girls?
ASHA 777 [7]
There would be 20 girls
7 0
3 years ago
Read 2 more answers
Please help!! I have no idea what I’m doing here
Maurinko [17]

Hello from MrBillDoesMath

Answer:   SAS,  the second choice

Discussion:

The sides with  a single "tick mark" in each triangle have the same length.

The sides with  two "tick marks"  in each triangle have the same length.

Finally the angle shown in each triangle is the same.

Hence we have congruence by  S(ide)-A(ngle)-S(ide) which is the second bullet point from the top of the list.


Thank you,

Mr. B

8 0
3 years ago
Read 2 more answers
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