Answer:
x=8.5
Step-by-step explanation:
(6x+1)+(2x+10)=79
6x+2x 1+10
8x +11=79
-11 -11
8x=68
÷8 ÷8
x=8.5
Answer:
33 feet
Step-by-step explanation:
We can draw a triangle in this situation.
<u>Note:</u>
The height of the tree is the side "opposite" of the 35 angle. The squirrel's distance of 47 feet from the base of the tree is the side "adjacent" to the angle.
Which trig ratio relates "opposite" and "adjacent"?
It is Tan
Thus we can write and solve (let height of tree be h):
To the nearest foot, the height of tree is about 33 feet
Answer:
y=3x-3
Step-by-step explanation:
Any line that has the same slope but different y intercept will be parallel to that line
Answer:
(1, 1 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 5 → (1)
7x - 5y = 2 → (2)
Multiplying (1) by 5 and (2) by 3 and adding will eliminate the y- term
10x + 15y = 25 → (3)
21x - 15y = 6 → (4)
Add (3) and (4) term by term to eliminate y
31x = 31 ( divide both sides by 31 )
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (1)
2(1) + 3y = 5
2 + 3y = 5 ( subtract 2 from both sides )
3y = 3 ( divide both sides by 3 )
y = 1
Solution is (1, 1 )
√106 is equal to approximately 10.29563
Rounded of to 10.3
