If the point ( x, √3/ 3) is on the unit circle, then the value of x will be √2/ 3. The correct option is D.
<h3>What is the equation of the circle with radius r units, centered at (x,y)?</h3>
If a circle O has a radius of r units length and it has got its center positioned at (h, k) point of the coordinate plane,
then, its equation is given as:
The equation of unit circle is
Thus, x = √2/ 3
If the point ( x, √3/ 3) is on the unit circle, then the value of x will be √2/ 3.
The correct option is D.
Learn more about the equation of a circle here:
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1" = 2.5'
2.5'(3.75") = 9.375'
3.75" = 9.375'
For every inch is 2.5ft
1 - 2.5 ft
2 - 5 ft
3 - 7.5 ft
.75' - 0.625 ft
7.5' + 0.625' = 9.375"
Answer:
A: second one or middle choice
B: (5x + 8)(3x - 2)
Step-by-step explanation:
First question (A)
It is a trinomial. You can't use the difference of squares on it. The difference of squares have two terms as an answer.
It is not a perfect square. 15 is not a perfect square and c would have to be positive not minus to even think about using a perfect square.
So the A answer is the second one. You need two different binomials to factor this.
Second Question
You could try all the possible pairings and solve them by brute force.
The are five choices the go with the first one (3x + 4). Eventually you would get the answer, you would have to try 5 + 4 + 3 + 2 + 1 = 15 attempts.
There must be a shorter way.
14 means that the expressions are fairly far apart. This was just luck on my part. There is no logic. 8 and 2 for 16 are fairly far apart.
(5x + 8)(3x - 2)
The middle term is 8*3x - 2*5x = 14x and that looks like the answer.
Answer:
1st picture: (0,4)
The lines intersect at point (0,4).
2nd picture: Graph D
2x ≥ y - 1
2x - 5y ≤ 10
Set these inequalities up in standard form.
y ≤ 2x + 1
-5y ≤ 10 - 2x → y ≥ -2 + 2/5x → y ≥ 2/5x - 2
When you divide by a negative number, you switch the inequality sign.
Now you have:
y ≤ 2x + 1
y ≥ 2/5x - 2
Looking at the graphs, you first want to find the lines that intersect the y-axis at (0, 1) and (0, -2).
In this case, it is all of them.
Next, you would look at the shaded regions.
The first inequality says the values are less than or equal to. So you look for a shaded region below a line. The second inequality says the values are greater than or equal to. So you look for a shaded region above a line.
That would mean Graph B or D.
Then you look at the specific lines. You can see that the lower line is y ≥ 2/5x - 2. You need a shaded region above this line. You can see the above line is y ≤ 2x + 1. You need a shaded region below this line. That is Graph D.
Answer: -24
-140/14+140/-10
-10/1+-14/1
-10+-14/1
=-24
