Answer:
Option (2)
Step-by-step explanation:
Option (1)
In the interval [-1, 1] Or -1 ≤ x ≤ 1, value of the function will be represented by the y-values.
Since, the graph is below x-axis in the interval -1 ≤ x ≤ 0.5, function will be negative.
And in the interval 0.5 ≤ x ≤ 1, graph is above the x-axis, function will be positive.
Option (2)
In this option, graph is below the x-axis in the interval [-1, 1].
Therefore, the given graph is negative in this interval.
Option (3)
In this graph, function is negative and positive both in the interval -1 ≤ x ≤ 1.
Option (4)
In this graph function is completely above the x-axis in the interval -1 ≤ x ≤ 1.
So this function is positive in the interval [-1, 1].
Therefore, Option (2) will be the answer.
Answer:
3) B) 90°
4) A) 75°
Step-by-step explanation:
3) interior angles of a triangle =180°
So
40+50+?=180
? =180- 90
? =90
4) same rule
40+65+?=180
? =180 - 105
? = 75
Answer:
A. y=1/3x+1
Step-by-step explanation:
When finding a line that is perpendicular to another line, all you have to do is find the "opposite reciprocal" of the slope. In this case that means writing the slope as the fraction -3/1, and then flipping the fraction over (1/-3) and taking away the negative sign which gets you 1/3 for the slope of your new line. Now, all you have of your new equation is the slope. You need to take your new equation (y=1/3x+b) and plug in the x and y coordinates to that equation, and then solve for the last variable which is b. That solving process goes as follows:
3=1/3*6+b
3=2+b
1=b
now you can replace the b with 1 in your equation to get your final answer of y=1/3x+1
Answer:
24π or about 75.4 mm
Step-by-step explanation:
The circumference of a circle is denoted by C = 2πr, where r is the radius.
Here, we see that r = 12, so plugging this in:
C = 2πr
C = 2π * 12 = 24π ≈ 75.4 mm
The answer is thus 24π or about 75.4 mm.
<em>~ an aesthetics lover</em>
2/3 / 5/6 + 5 (3)^2
= 2/3 * 6/5 + 45
= 12/15 + 45
= 45 4/5 Answer
