Hello,
Answer A: None
0a+9=8
==>9=8 equation impossible 0 solution
Referring to the graph of this equation:
All the choices match except the first one ... y-intercept is NOT (0,3)
It is (0,2)
I hope that
helps!
Step-by-step explanation:
I didn't know this off of the top of my head, and I used Google to help me. Simply searching "30 60 90 right triangle" gave me a few very helpful links. For future reference, if no one is answering here, Google may be your friend.
The (credible) site that I found tells me
"The basic 30-60-90 triangle ratio is:
Side opposite the 30° angle: x
Side opposite the 60° angle: x * √3
Side opposite the 90° angle: 2x"
The side opposite the 30 degree angle is a value called "x" according to this site. This would mean that y is x, which is confusing, so we can just say that the value of y is y (if you want to go a little more in depth, I will simply be referring to what the site refers to as "x" as "y"). To begin, the side opposite the 30 degree angle, which is 8√3, is y * √3. This means that y is 8. Then, the remaining side is 2*y, which is 16.
Please let me know if you have any further questions or concerns.
B. y = 3x - 2
Step-by-step explanation:
A linear regression line is in form of Y=A+Bx where B is the slope of the line and A is the intercept when x=0
Form a table as shown
x y xy x² y²
1 4 4 1 16
2 1 2 4 1
3 5 15 9 25
4 10 40 16 100
5 16 80 25 256
6 19 114 36 361
7 15 105 49 225
28 70 360 140 984 ------sum
From the table;
n=7 ---number of data points
∑x = 28
∑y=70
∑xy =360
∑x² =140
∑y² = 984
Applying equations for A and B
A=(∑y)(∑x²) - (∑x)(∑xy) / n (∑x²)-(∑x)²
A=(70)(140) - (28)(360) / 7(140)-(28²)
A=9800 - 10080 / 980-784
A= -280 /196
A= -1.43
B= n(∑xy)-(∑x)(∑y) / n(∑x²)-(∑x)²
B=7(360)-(28)(70) / 7(140) - (28²)
B=2520-1960 /980-784
B=560/196
B=2.86
The equation will be;
Y=A+Bx
Y=-1.43+2.86x
Y=2.86x-1.43
Learn More
Regression line : brainly.com/question/12280902
Keywords : equations, regression line, data, table
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Answer:
Number of messages Salma sent = 7
Number of messages Brian sent = 16
Number of messages Chang sent = 32
Step-by-step explanation:
Let
Number of messages Salma sent = n
Number of messages Brian sent = n + 9
Number of messages Chang sent = 2(n + 9)
Total messages sent = 55
n + (n + 9) + 2(n + 9) = 55
n + n + 9 + 2n + 18 = 55
4n + 27 = 55
4n = 55 - 27
4n = 28
n = 28/4
n = 7
Number of messages Salma sent = n = 7 messages
Number of messages Brian sent = n + 9 = n + 9 = 16 messages
Number of messages Chang sent = 2(n + 9)
= 2(7 + 9)
= 2(16)
= 32 messages
