Answer:
The least common denominator is 12.
Step-by-step explanation:
1/6 and 5/12.
Skip count by 6and 12.
6: 6,12,18,24,30.....
12: 12,24, 36,48...
12, appeared first, so 12 is the least common denominator.
hope it helps.
Answer:SAS
Explanation:In triangle ABC:
a would be the side opposite to angle A
c would be the side opposite to angle C
Combining the given, we would fine that we have the measures of two of the sides and the measure of the angle included between them.
This means that we have SAS information.
Check the attached image for visual illustration.
Hope this helps :)
Answer:
5,040 cars
Step-by-step explanation:
Each truck weighs 7.2 tons, and there are already 480 trucks loaded. This means that the cargo ship is currently carrying 3,456 tons.:
480 x 7.2 = 3,456
The limit is 21,600 tons, so 21,600 - 3,456 = 18,144.
Divide the remaining capacity by how much a car weighs:
18,144 / 3.6 = 5,040
Answer: x = 38, y = 81, z = 75
Step-by-step explanation:
First, because it's a quadrilateral, we know that (z - 3) + 108 + (y - 9) + (3x - 6) = 360.
Then, we also know that (3x - 6) = 108, because in a parallelogram the two opposite angles are congruent. So, we know that x = 38.
Next, we also know that (z - 3) = (y - 9), because (again) the opposite angles are congruent. But since there are 2 variables and 1 equation, we cannot solve it yet.
But, we also know that (y - 9) + (3x - 6) = 180, because the same side angles are supplementary. We already know that (3x - 6) = 108, so (y - 9) = 180 - 108 = 72. y = 81.
Then, we can also figure out (z - 3) because it's the same as (y - 9), so (z - 3) = 72. z = 75.
So, x = 38 degrees, y = 81 degrees, and z = 75 degrees.
<em>P.S. If this is wrong, please tell me! I'll try my best to fix it. </em>
If it has x intercepts at r1,r2,r3 then the factored form is
f(x)=a(x-r1)(x-r2)(x-r3)
where a is a constant not equal to 0
so
intercepts of -2,0, 1
f(x)=a(x-(-2))(x-0)(x-1)
f(x)=a(x+2)(x)(x-1)
passes through the point (2,16)
find a buy subsituting the point (2,16) into it
16=a(2+2)(2)(2-1)
16=a(4)(2)(1)
16=8a
2=a
the function is
f(x)=2(x+2)(x)(x-1)