Answer:
-2/5
Step-by-step explanation:
The slope of the line can be found by
m= (y2-y1)/(x2-x1)
= (8-10)/(36-31)
= -2/5
Answer:
x^2 -x -2 = (x -2)(x +1)
Step-by-step explanation:
To factor x^2 -x -2, you look for factors of -2 that have a sum of -1:
-2 = (-1)(2) = (1)(-2) . . . . . the latter pair has a sum of -1
Then these are the constants in the binomial factors:
x^2 -x -2 = (x +1)(x -2)
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<em>Comment on the question</em>
The fact that x^2 +3x -4 is modeled with algebra tiles seems to be irrelevant to the question that is actually asked.
Answer:
1.5
Step-by-step explanation:
Attached to this answer is the diagram of the box plot described in the question, and the means from the plot are calculated thus;
Students; no. of siblings
student 0 2
student 1 4
student 2 7
student 3 5
student 4 2
Total 20
Mean no. of siblings = (total number of siblings) ÷ (total number of students)
Note that number of students here are the once that had at least one sibling, others without siblings are not used in the calculation, hence 5 students (student-0 to student-4) make up total number of students, while the remaining 4 students (student-4 to student-9) are disregarded.
Therefore, mean = 20 ÷ 5 = 4 siblings.
Answer:
The frequency of the given sinusoidal graph is 4.
Step-by-step explanation:
The frequency of a sinusoidal graph is the number of cycles it completes in the interval 0 to 2π radians.
From the given sinusoidal graph it is noticed that the the graph complete its one cycle in the interval 0 to 
.
If the complete its one cycle in , then the number of cycles completed by the graph in the inteval 0 to 2π is
Therefore the frequency of the given sinusoidal graph is 4.
Angles three and four are a linear pair, meaning that they they form a line. When two angles make a line, the measures add up to 180°. Adding the two values together, we see that 3x+27x=180. Simplifying and solving for x, we get 30x=180 ⇒ x=6.
The question, however, is asking for the measure of angle 4. Thus, we plug x=6 into 7x to get 6(7)=42.
Hope this helped!
