Answer:
A) y=3/2x-12
Step-by-step explanation:
Slope intercept formula is y=mx+b
mx is the slope.
B is the y intercept
The distance between the points A to B is 899.9 feet. After rounding off the nearest integer we get 900 feet as the final answer.
Given we know that CD is perpendicular to AD.
The distance between CD is 139 feet.
As from points A the boat's crew measure the angle of elevation to the beacon as 6°
therefore, m∠A = 6°
Another time the angle of elevation is measured from point B which is 19°.
therefore, m∠DBC = 19°
tan 19° = CD/BD
BD = CD/tan19°
BD = 136/tan 19°
now for tan 6° = CD/AD (tangent is opposite over adjacent)
AD = CD/tan 6°
AD = 136/tan 6°
AB = AD ₋ BD
AB = 136/tan 6° ₋ 136/tan 19°
AB = 1295.2 ₋ 395.3
AB = 900 feet
hence the distance from point A to B is 900 feet.
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Answer:
Amount invested at 7% = 16000
Amount invested at 9% = 12000
Step-by-step explanation:
Let x be the amount invested at 7% and y be the amount invested at 9%.
Since the total amount invested is $28000, therefore, we can set up the first equation as:
Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:
Now we need to solve these two equations to get the values of x and y.
First of all, we multiply the second equation with 100 in order to get rid of decimal values.
Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.
Therefore, amount invested at 7% is $16000 and amount invested at 9% is 28000-16000=$12000.
The mean - add all the numbers (data) divided by the amount. 4+3+1+1+2+4+1 =16 16/7 = 2.28
The median - the middle number.
The mode - the most common number.
Answer: 4x^6y^10
Explanation:
(-2x^3)^2 x y x y^10
= 4x^3 x 2 x y^1+9
4x^6 x y^10
= 4x^6y^10
