F ( x ) = x + 4
x = 3 p
f ( 3 p ) = 3 p + 4
Answer. D )
The ordered pair is:
( x, y ) = ( 3 p, 3 p + 4 )
Thank you.
Answer:
<h3>
A Geometric sequence with common ratio 3</h3>
Step-by-step explanation:
A sequence of number is called Geometric sequence if the first number is being multiplied with a constant to get the rest of the numbers
ratio between 2 adjacent numbers in a sequence will be a constant and is called common ratio.
in the given sequence the ratio between any pair of adjacent numbers is 3.
∵ this is a geometric sequence with common ratio 3
Answer:
67
Step-by-step explanation:
Complementary angles add to 90 degrees
<A + <B = 90
x+10 + 3x+28 = 90
Combine like terms
4x+38 =90
Subtract 38 from each side
4x+38-38 = 90-38
4x = 52
Divide by 4
4x/4 = 52/4
x = 13
We want to find <B
<B = 3x+28
= 3(13) +28
= 39+28
=67
Answer:
A. (8/30)(22/29)(21/28)
Step-by-step explanation:
The key is in reading the question really thoroughly, like, way more than you would expect. The <em>first</em> person is from the group of 8, thus (8/30), but the other <em>two</em> <u>cannot</u> be from the group of 8. 30(students total) minus 8 (the 8 people from science class)=22 (remaining in math). You choose one person who is <em>not</em> from the group of 8, and you are left with 21 other people. The number of students available to be in a group goes down each time: 30 down to 29 down to 28 (the denominators). Kaboom, A. (8/30)(22/29)(21/28).
Given:
Consider the below figure attached with this question.
m(arc(SW)) = (12x-5)°, m(arc(TV))= (2x+7)°,and measure of angle TUV = (6x-19)°.
To find:
The m(arc SW).
Solution:
Intersecting secant theorem: If two secants intersect outside the circle, then the angle on the intersection is half of the difference of the larger subtended arc and smaller subtended arc.
Using Intersecting secant theorem, we get




Multiply both sides by 2.




Divide both sides by 2.

Now, the measure of arc SW is:




Therefore, the measure of arc SW is 151 degrees.