Answer:
Step-by-step explanation:
y ∝ x^2
Introducing the proportionality constant, we have
y = kx^2
Given : y= 18 when x = 3
substitute the given values in order to get the constant
i.e 18 = k x 3^2
18 = 9k
k = 2
therefore the formula connecting x and y
⇒ y = 2x^2
To find y if x is 4, just substitute x = 4 into the formula connecting x and y
i.e y = 2 x 4^2
= 2 x 16
= 32
This one is the Law of Sines again.
The Law of Sines relies on the standard labeling of triangle ABC with vertices A, B, and C and respective opposite sides of a, b and c. Then
Here we have A=150 degrees (opposite side a), b= 10 cm and B = 12 degrees. We seek a.
So we need the first equation of the Law of Sines:
Answer:
24.08 cm
Step-by-step explanation:
a²+b²=c²
16²+18²=c²
256+324=c²
580=c²
24.08=c
Answer:
1) D: All of the above.
2) A: No solution
3) B: One solution
Step-by-step explanation:
<h3>1. The systems of linear equations can be solved through the following methods: </h3>
Graphing method: Using the slope and y-intercepts of each equation to plot points and graph the lines to see whether the given system has a <u>point of intersection</u> as a solution.
Elimination method: this involves either <u>adding</u> (when the coefficients have opposite signs) or <u>subtracting</u> (when the coefficients have the same sign).
Substitution method: involves solving for one of the variables of either equations, and substituting the values of that expression into the other linear equation in the system.
Therefore, the correct answer is Option D: All of the above.
<h3>2. Graph of Parallel Lines:</h3>
Given the graph of parallel lines, which means that they will never have a point of intersection. Therefore, the given systems of linear equations have no solution. Therefore, the correct answer is Option A: No solution.
<h3>3. Graph of Two Intersecting lines</h3>
Given the graph of two non-perpendicular intersecting lines, it means that they have <u>one point of intersection</u> that represents the <em>solution</em> to the given system.
Therefore, the correct answer is Option B: One solution.
I did it on paper just now. Sorry for the sloppy handwriting, but you should be able to answer the two questions with the info I got. If you don't know what five number summary is, just google it.
Basically, arrange the list of numbers in order, and then find the minimum, 1st quartile, median, 3rd quartile, and maximum.
