We have the following points and their coordinates:
![\begin{gathered} S(-3,10), \\ T(-2,3). \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20S%28-3%2C10%29%2C%20%5C%5C%20T%28-2%2C3%29.%20%5Cend%7Bgathered%7D)
We must compute the distance ST between them.
The distance ST between the two points is given by:
![ST=\sqrt[]{(x_S-x_T)^2+(y_S-y_T)^2_{}},](https://tex.z-dn.net/?f=ST%3D%5Csqrt%5B%5D%7B%28x_S-x_T%29%5E2%2B%28y_S-y_T%29%5E2_%7B%7D%7D%2C)
where (xS,yS) are the coordinates of the point S and (xT,yT) are the coordinates of the point T.
Replacing the coordinates of the points in the formula above, we find that:
![\begin{gathered} ST=\sqrt[]{(-3_{}-(-2)_{})^2+(10_{}-3_{})^2_{}}, \\ ST=\sqrt[]{1^2+7^2}, \\ ST=\sqrt[]{50}\text{.} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20ST%3D%5Csqrt%5B%5D%7B%28-3_%7B%7D-%28-2%29_%7B%7D%29%5E2%2B%2810_%7B%7D-3_%7B%7D%29%5E2_%7B%7D%7D%2C%20%5C%5C%20ST%3D%5Csqrt%5B%5D%7B1%5E2%2B7%5E2%7D%2C%20%5C%5C%20ST%3D%5Csqrt%5B%5D%7B50%7D%5Ctext%7B.%7D%20%5Cend%7Bgathered%7D)
Answer: ST = √50
Answer:
The correct answer is A
Step-by-step explanation:
The secant is the distance from the center to the vertical tangent in a certain direction.
Answer:
240
Step-by-step explanation:
ok, so first you look closely at the problem. convert pounds to ounces, since you dont have enough to do it the other way. so if 1 pound is 16 ounces, 3 pounds is 48. he has 48 ounces. if 10 ounces makes 60, 40 ounces makes 240. now you have 8 left. now im not sure about this part, but if you took the 8 left over, and if 10 ounces makes 60, 8 ounces makes 48 more.
Answer:
43. I'm not really sure about this one but here's what I got:
The average height of a 4th grader is 58 inches. (Maybe that'll help) Also if it's by the number of kids in the class....I would assume that there are at most 33 kids in the class....I'm not sure what it's asking...sorry :(
46. There are 8 total marbles so if you were selecting a green marble the probability of getting a green marble would be 3/8. If there are 2 blue marbles then the probability would be 2/8 or 1/4
LINK: https://mathbitsnotebook.com/Geometry/Probability/PBIndependentDependent.html
48. In a deck of cards there are 26 black cards and 26 red cards. Number of event occurrences. Total number of trials. For example, if a dice is rolled 6000 times and the number '5' occurs 990 times, then the experimental probability that '5' shows up on the dice is 990/6000 = 0.165. That should help with this one
LINK:
https://explorable.com/experimental-probability
49. Since there are 6 sides and each side is a number 1-6, the probability of rolling a six is 1:6
50. This one is easy if you read the question right. There are no pink marbles....
I'm not that great with graphs
I hope this helped a little....some of the questions I didn't understand.
Answer:
k = 10
Explanation:
The initial polynomial is:
![f(x)=3x^3+13x^2+19x+k](https://tex.z-dn.net/?f=f%28x%29%3D3x%5E3%2B13x%5E2%2B19x%2Bk)
If f(-2) = 0, then when we replace x by -2, the result will be 0. It means that we can write the following equation:
![\begin{gathered} f(-2)=3(-2)^3+13(-2)^2+19(-2)+k=0 \\ 3(-2)^3+13(-2)^2+19(-2)+k=0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28-2%29%3D3%28-2%29%5E3%2B13%28-2%29%5E2%2B19%28-2%29%2Bk%3D0%20%5C%5C%203%28-2%29%5E3%2B13%28-2%29%5E2%2B19%28-2%29%2Bk%3D0%20%5Cend%7Bgathered%7D)
Therefore, we can solve for k as follows:
![\begin{gathered} 3(-8)+13(4)+19(-2)+k=0 \\ -24+52-38+k=0 \\ -10+k=0 \\ -10+k+10=0+10 \\ k=10 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%203%28-8%29%2B13%284%29%2B19%28-2%29%2Bk%3D0%20%5C%5C%20-24%2B52-38%2Bk%3D0%20%5C%5C%20-10%2Bk%3D0%20%5C%5C%20-10%2Bk%2B10%3D0%2B10%20%5C%5C%20k%3D10%20%5Cend%7Bgathered%7D)
So, the value of k is 10