I will solve one for you to get you a idea so next u can solve all
To know whether line is tangent toa circle or not we should know that that line is a tangent line of a circle if it intersects circle at single point.
and this will always be perpendicular at radius
so in problem
1)
diameter is given 7.5
and u can see they make a right triangle ABC if that is perpendicular so segment AB is tangent to a circle.
Lets see by applying <span>Pythagorean Theorem
</span>this is method we can say that this is in fact a right triangle
a^2=b^2=c^2
a,b are shorter side c is longer side
(7.5)^2+(8)^2=(17)^2
56.25+64=289
120.25=289
both are not equal so they are not forming right triangle so segment AB is not a tangent line.
Answer:
3 hours.
Step-by-step explanation:
divide 1620 by 540.
Looking at your answer your function is correct.
If the software is telling you something's wrong, it has to be with the formatting; maybe they want you to simplify the second part of the function. If that is the case, use the distributive property:
0.25(x-200)+15
0.25*x-0.25*200+15
0.25x-50+15
0.25x-35
Answer:
f(x) = - 2 (x + 2)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 2, 6), thus
y = a(x - (- 2))² + 6, that is
y = a(x + 2)² + 6
To find a substitute the point (0, - 2) into the equation
- 2 = a(0 + 2)² + 6 ( subtract 6 from both sides )
- 8 = 4a ( divide both sides by 4 )
- 2 = a
f(x) = - 2(x + 2)² + 6 ← in vertex form
Answer: Option 'B' is correct.
Step-by-step explanation:
Since we know that
<u>Simple events</u> are those events where one experiment occurs at one time and it will have a single outcome.
Option 'A' says Getting doubles on a roll of two dice : It has more than one outcome.
i.e. (1,1), (2,2), (3,3), (4,4), (5,5), (6,6).
Similarly, In option 'C' and 'D' both have more than one outcomes.
But Option 'B' says Getting a 4 on a roll of one die : It has single outcome and its probability will be
Hence, Option 'B' is simple event.
Therefore, Option 'b' is correct.