Factors: Numbers that can multiply into a certain number.
The factors of 45 are:
1 (x 45)
3 (x 15)
5 (x 9)
9 (x 5)
15 (x 3)
1 (x 45)
Answer:
A. The data show a negative linear relationship.
Step-by-step explanation:
According to the attached image as we can see that the temperature is in Y axis and volume of ice cubes is in X axis
So the following statements considered to be true
a. The volume represents the explanatory variable
b. Temperature would be strongly correlated to the ice cubes volume
c. As the correlation coefficient is near to -1
But it does not show the negative linear relationship
Therefore the correct option is a.
<em>c = 10</em>
Step-by-step explanation:
We can find out the missing side of a right triangle by using the Pythagorean theorem.
The Pythagorean theorem is...

We can even double check the first problem by plugging in everything into the theorem and solving, everything will come out correct. We can plug in the numbers from the second problem into the theorem and find c, also please note that the hypotenuse of a triangle will <em>always </em>be c. It doesn't matter which you put in for a or b, but since the problem gives us which one is a and which one is b, I'll just be plugging it in like that.



A lot of people will stop here and think that the answer is 100, but you need to find the square root of 100, since c is squared. The square root of 100 is 10, so...
<em><u>c = 10</u></em>
If triangles PQR and STU are similar then PQ corresponds to ST and PR corresponds to SU. Therefore, PQ/ST=PR/SU
Considering that, PQ= 7-x, ST= 13-x, PR= x²+5 and SU= x² +20
therefore, (7-x)/(13-x)= (x²+5)/(x²+20)
cross multiplying,
7x² +140-x³+20x =13x²+65-x³-5x
combining the like terms,
6x² +15x -75=0
solving for x,
x = 5/2 or -5