To find the vertex of a quadratic equation, determine the coefficients of the equation, then use the vertex x-coordinate formula to find the value of x at the vertex. Once the x-coordinate is found, plug it into the original equation to find the y-coordinate.
Hello there, I'm Steel42, and I am here to help you today.
Let's look at some key words:
Equivalent - somethings that is equal in amount, value, or function
Fractions - It represents a part of a whole
Now, our problem,
Q:How do you find equivalent fractions?
A: If you can multiply or divide the top and bottom numbers by the same number, there equal.
Lets see if any are equal:
1 whole equals two 1/2
1 whole equals three 1/3
1 whole equals four 1/4
1 whole equals five 1/5
1 whole equals six 1/6
1 whole equals seven 1/7
1 whole equals eight 1/8
one 1/2 equals two 1/4
one 1/2 equals three 1/6
one 1/2 equals four 1/8
two 1/2 equals one whole
one 1/3 equals two 1/6
three 1/3 equals 1 whole
one 1/4 equals two 1/8
four 1/4 equals one whole
two 1/4 equals one whole
two 1/6 equals one 1/3
six 1/6 equals one whole
three 1/6 equals one 1/2
three 1/6 equals two 1/4
three 1/6 equals four 1/8
two 1/8 equals one 1/4
four 1/8 equals one 1/2
four 1/8 equals two 1/4
four 1/8 equals three 1/6
eight 1/8 equals one whole
Hope This helps you today : )
Answer:
B
Step-by-step explanation:
The first step of any problem solution is <em>look at the given information</em>. Here, we are given the equation of a line in (almost) standard form, and we want to match the equation with a graph. We notice that the coefficients of the variables are factors of the constant, so the intercepts are integer values easily found.
We can compare the line's intercepts to those shown on the graphs to choose the correct graph.
<u>x-intercept</u>
The x-intercept is found by setting y=0 and solving for x:
-3x +5(0) = -15
x = -15/-3 = 5
Only one graph shows a line with an x-intercept of (5, 0): graph B.
<u>y-intercept</u>
We can confirm graph B by finding the y-intercept. For this, we set x=0 and solve for y.
-3(0) +5y = -15
y = -15/5 = -3
Graph B also has a y-intercept of (0, -3), confirming it is the correct choice.
_____
<em>Additional comment</em>
Part of "look at the given information" is "look at the answer choices." What you look for is <em>what makes one choice different from the others</em>. Here, the lines have x- and y-intercepts of ±3 and ±5. The y-intercepts are the same for graphs A and B, and for graphs C and D.
However, the x-intercepts are different for all of them. This tells you that finding the x-intercept is the fastest way to find the correct graph.
Answer:
x^2 + y^2 = 25
Step-by-step explanation:
The standard form of a circle equation is:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center and r is the radius.
We can see that the center is (0, 0) by looking at the graph, and the radius is 5 because it is marked. Plugging these in we get:
x^2 + y^2 = 25
There are 5 variables in the expression. the answer is 5
