25^(n-3)=5^(n+8)
Remember: 25=5²
Therefore:
5^[(n-3)²]=5^(n+8)
5^(2n-6)=5^(n+8)
Then:
2n-6=n+8
2n-n=8+6
n=14
Answer: n=14
≈9.38
13² - 9² = x²
189 - 81 = 88
√88 = x
Answer:
C(50;-20)
Step-by-step explanation:
The question is asking for the midpoint of the line.
The triangle is formed by placing a line directly from the y-axis to the x-axis.
The midpoint theorem is[ (x1+x2)/2 ; (y1+y2)/2 ].
your coordinates at A is (0;-40), because the x value is 0 on the line as shown in the diagram above point A.
Your coordinates for B are (100;0)
C[(x1+x2)/2 ; (y1+y2)/2 ]
C [(0+100)/2 ; (-40+0)/2 ]
C[ 100/2 ; -40/2]
C (50 ; -20)
1) Formula: area = height * base / 2
2) Call x the height:
height = x
base = 2x
3) State the equation:
(x)(2x) = 49 in^2
4) Solve the equation:
2x^2 = 49 in^s
x^2 = (49/2) in^2
x = √(49/2) in
x = 7√2 / 2 in = 3.5 √2 in
5) Solution:
height = 3.5 √2 in and base = 7√2 in
6) Verification: area = (7√2 in) (3.5√2 in) = 49 in^2
Answer: height = 3.5√2 in and base = 7√2 in.
