<h2>
Hello!</h2>
The answer is:
The second option,
Zackery, because AB=BC
<h2>Why?</h2>
To identify which type of triangle is the triangle formed by the given points, first, we need to calculate the distance between the points.
So, finding the distances we have:
From A to B: (2,3) and (4,4)
![distance=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}\\\\distance=\sqrt{(4-2)^{2} +(4-3)^{2}}=\sqrt{2^{2} +1^{2} }=\sqrt{4+1}=\sqrt{5}=2.24units](https://tex.z-dn.net/?f=distance%3D%5Csqrt%7B%28x_2-x_1%29%5E%7B2%7D%20%2B%28y_2-y_1%29%5E%7B2%7D%7D%5C%5C%5C%5Cdistance%3D%5Csqrt%7B%284-2%29%5E%7B2%7D%20%2B%284-3%29%5E%7B2%7D%7D%3D%5Csqrt%7B2%5E%7B2%7D%20%2B1%5E%7B2%7D%20%7D%3D%5Csqrt%7B4%2B1%7D%3D%5Csqrt%7B5%7D%3D2.24units)
From B to C: (4,4) and (6,3)
![distance=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}\\\\distance=\sqrt{(6-4)^{2} +(3-4)^{2}}=\sqrt{2^{2} +(-1)^{2} }=\sqrt{4+1}=\sqrt{5}=2.24units](https://tex.z-dn.net/?f=distance%3D%5Csqrt%7B%28x_2-x_1%29%5E%7B2%7D%20%2B%28y_2-y_1%29%5E%7B2%7D%7D%5C%5C%5C%5Cdistance%3D%5Csqrt%7B%286-4%29%5E%7B2%7D%20%2B%283-4%29%5E%7B2%7D%7D%3D%5Csqrt%7B2%5E%7B2%7D%20%2B%28-1%29%5E%7B2%7D%20%7D%3D%5Csqrt%7B4%2B1%7D%3D%5Csqrt%7B5%7D%3D2.24units)
Hence, since the distances AB and BC are equal, the triangle is an isosceles triangle, so the answer is:
Zackery, because AB=BC
Have a nice day!
Step-by-step explanation:
10-5y=3x
1. add 10 to both sides
-5y=3x+10
2. divide everything by -5
y=-3/5x-2
3. your point would start at -2 on the y axis and you would go down 3 and over 5 to get to the next point
Answer:
The data item is ![X = 580](https://tex.z-dn.net/?f=X%20%3D%20580)
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 400 and a standard deviation of 60.
This means that ![\mu = 400, \sigma = 60](https://tex.z-dn.net/?f=%5Cmu%20%3D%20400%2C%20%5Csigma%20%3D%2060)
z=3
We have to find X when Z = 3. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![3 = \frac{X - 400}{60}](https://tex.z-dn.net/?f=3%20%3D%20%5Cfrac%7BX%20-%20400%7D%7B60%7D)
![X - 400 = 3*60](https://tex.z-dn.net/?f=X%20-%20400%20%3D%203%2A60)
![X = 580](https://tex.z-dn.net/?f=X%20%3D%20580)
The data item is ![X = 580](https://tex.z-dn.net/?f=X%20%3D%20580)
Based on the venn diagram of siblings, the probability of having a brother and sister is c. 0.33.
<h3>What is the probability of brother and sister?</h3>
The probability of having a brother and sister can be found as:
= Number of those with brother and sister / Total number of people in poll
Solving gives:
= 10 / (8 + 10 + 5 + 7)
= 10 / 30
= 0.33
In conclusion, the probability of having a brother and sister is 0.33.
Find out more on Venn diagrams at brainly.com/question/9085273
#SPJ1
(2x^2 + 16x + 30) / (5x^2 + 13x -6)
Start by factoring the numerator and denominator.
Cancel any like factors.
2(x^2 + 8x + 15)
2(x + 5)(x + 3) / (5x -2)(x + 3
2(x + 5) / (5x - 2)
The third choice