Answer:
A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder.
Example:
2 is a factor of 8.
8 is a multiple of 2.
Step-by-step explanation:
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Answer:
C. (4,28)
Step-by-step explanation:
The substitution method requires you to input a specified number in place of a variable. In this case, the variable 'x' should be replaced by the number 4. Using the order of operations, we know that multiplication should be applied before subtraction. When we replace 'x' with 4, we get the equation 'y=8(4)-4'. Multiplying 8 and 4 gives us 32. If we subtract 4 from 32, we get 28. The answer ends up being 'y=28'.
That is the first part of our solution. What we are actually looking for is an ordered pair. We know ordered pairs are written in the form (x, y). First, we need to find the 'x'. The 'x' has been given to us from the beginning, it is 4. Next is the 'y'. This is what we needed to find using substitution. We ultimately concluded that the 'y' is equivalent to 28. Therefore our ordered pair is (4, 28), the letter choice C.
I hope this helped you and that I clearly elaborated on the answer choice.
The language art teacher wants to know the opinion of the ENTIRE school, so it would be fair if the teacher takes a sample from the ENTIRE school population. She can use the stratified sampling method where she can take a proportionate sample from each grade.
Correct answer: All students in each grade
Answer:
9s^2 + 17g - 12
Explanation:
(basically combine like terms)
the s^2 are like terms, so that would get you 18s^2 - 9s^2 = 9s^2
then the g’s are like terms,
15g + 2g = 17g
then the -12 is all on its own
if you put it all together:
9s^2 + 17g - 12
The area of the shaded region is 
.
Solution:
Given radius = 4 cm
Diameter = 2 × 4 = 8 cm
Let us first find the area of the semi-circle.
Area of the semi-circle = 
Area of the semi-circle = 
cm²
Angle in a semi-circle is always 90º.
∠C = 90°
So, ABC is a right angled triangle.
Using Pythagoras theorem, we can find base of the triangle.
cm
Base of the triangle ABC = 
cm
Height of the triangle = 4 cm
Area of the triangle ABC = 
Area of the triangle ABC = 
cm²
Area of the shaded region
= Area of the semi-circle – Area of the triangle ABC
= 
=
Hence the area of the shaded region is .
