Answer:
Step-by-step explanation:
In this question, you are combining like terms, meaning doing equations to numbers that fit with only each other.
<u>So we should start on the number without variables:</u>
23 and 27
<u>Match them up together and you should find your first equation:</u>
23 - 7
==> -4
So we should have -4 + 8m + 4n - 5m
Now we should combine the numbers with the variable of m:
8m and 5m
<u>Match them up together and you should find your first equation:</u>
<u></u>
8m - 5m
==> 3m
So we should now have -4 + 3m + 4n
<u></u>
<u>Since there are no other variables of n, we are all done:</u>
<u>-4 + 3m + 4n is your final answer </u>
Find the total of male students:
4 + 6 + 2 + 2 = 14 total males.
There are 2 male juniors.
The probability of a male being a junior is 2/14 = 1/7 = 0.143 = 14.3 = 14%
Answer:
The value of the side PS is 26 approx.
Step-by-step explanation:
In this question we have two right triangles. Triangle PQR and Triangle PQS.
Where S is some point on the line segment QR.
Given:
PR = 20
SR = 11
QS = 5
We know that QR = QS + SR
QR = 11 + 5
QR = 16
Now triangle PQR has one unknown side PQ which in its base.
Finding PQ:
Using Pythagoras theorem for the right angled triangle PQR.
PR² = PQ² + QR²
PQ = √(PR² - QR²)
PQ = √(20²+16²)
PQ = √656
PQ = 4√41
Now for right angled triangle PQS, PS is unknown which is actually the hypotenuse of the right angled triangle.
Finding PS:
Using Pythagoras theorem, we have:
PS² = PQ² + QS²
PS² = 656 + 25
PS² = 681
PS = 26.09
PS = 26
Answer:
<h2>-11y - 4.1x</h2>
Step-by-step explanation:
Answer:
1. Slide over the Y-Axis
2. Reflection over the Y-Axis
3. Reflection over the y axis first as well as a rotation
