Answer:
3mph
Step-by-step explanation:
Boat speed x
current speed 2
against current x-2 mph
with current x+ 2 mph
Distance= 5 miles
Time against + time with = 6 hours
5 /( x + 2 ) + 5 /(x - 2 ) = 6
LCD = (x - 2 ) ( x + 2 )
5 *( x - 2 ) + 5 (x + 2 ) = 6
5 x - 10 + 5 x + 10 = 6 ( x ^2 - 4 )
10 x = 6 x ^2 - 24
6 x ^2 - -10 x - 24
Find the roots of the equation by quadratic formula
a= 6 , b= -10 , c= -24
b^2-4ac= 100 + 576
b^2-4ac=676
x1=(10+26)/12
x1=3
x2=(10-26)/12
x2= -1.33
Ignore negative value
Speed of boat is 3 mph
Answer: c) increase
Step-by-step explanation:
- A sample is a finite subset of the entire population on which research statistical test regarding his/ her objective .
As the sample size increases it comes closer to the population size, and so converge to a better result of researcher's analysis.
It means the size of the sample is proportional to the power of their statistical tests.
∴ As the size of the sample increases the power of statistical test increases.
Hence, If a research team increases the sample size for a study, the power of their statistical tests will <u>increases</u>.
Therefore , the correct answer is : c) increase
So I did this:
y=x +2
y=3x-4
I used the first equation to plug into the second equation.
x+2= 3x -4
I subtracted 3 from both sides so I get
-2x+2=-4
So I subtract 2 from both sides so I get
-2x=-6
I divide -2 on both sides and so I get
x=3
Then I plug the x into either equation. I did the first equation.
y=3+2
y=5
So x=3 and y=5
Answer:
x > -40
Step-by-step explanation:
*see attachment for the figure described
Answer:
5 units
Step-by-step explanation:
==>Given the figure attached below, let where FH and EG intercepted be K.
Since FH are midpoints of parallel lines, KE = KG = x.
Given that the area of the kite EFGH = 35 square units, and we know the length of one of the diagonals = HF = KF + KH = 2 + 5 = 7, we can solve for x using the formula for the area of a kite.
Area of kite = ½ × d1 × d2
Where d1 = KH = 7
d2 = EG = KE + KG = x + x = 2x
Area of kite EFGH = 35
THUS:
35 = ½ × 7 × 2x
35 = 1 × 7 × x
35 = 7x
Divide both sides by 7
35/7 = x
x = 5
