Answer:
predoc
Step-by-step explanation:
Pythagoras says
a squared = b squared + c squared so
xsquared= 21 squared +17 squared
x squared = 441 + 34
x squared = 475
x = squared root of 475
x= 21.79mi
<h3>
Answers: x = 8 and x = -8</h3>
========================================================
Work Shown:
x^2 + 15 = 79
x^2 = 79-15
x^2 = 64
x = sqrt(64) or x = -sqrt(64)
x = 8 or x = -8
As the steps above show, we first subtract 15 from both sides. Then we apply the square root to get the two results. Don't forget about the plus minus.
Answer:
Domain: All real numbers; Range: y > –2
Step-by-step explanation:
The function can take every x value, but does not reach values less than -2.
Answer:
7th graders- 100 students
8th graders- 110 students
Step-by-step explanation:
Let the number of 8th graders be represented by x and 7th graders be represented by y
<u>Equation based on number</u>
There difference between 8th and 7th graders is 10 hence equation becomes
x-y=10
<u>Equation based on contribution</u>
While x contribute each $8 and y contribute each $5, the total contribution is $1380 hence the equation becomes
8x+5y=1380
<u>Combining equations</u>
Having the two simultaneous equations which are
x-y=10
8x+5y=1380
Solving the equations.
5x-5y=50
8x+5y=1380
------------------
13x=1430
x=1430/13=110
Therefore, 8th graders are 110. Since the 8th graders were 10 more than 7th graders, the 7th graders will be 110-10=100 students
