We know area of triangle = 
In triangle ABC , AB is the base and BC is the height
Now we find the distance between A and B
Distance formula is 
A(0,3), B(7,3)
Distance AB = 
= 
= 7
B(7,3), C(7,7)
Distance BC = 
= 
= 4
area of triangle =
area of triangle = 
= 
= 14 
Answer:
2.48
Step-by-step explanation:
Answer: Yes. The area is 1089 square feet.
Step-by-step explanation:
For a square, all the sides are equal: L = W
Hence, the perimeter of a square = 4 × L
Perimeter = 4L
132 = 4L
132 ÷ 4 = L
33 = L = W
Area of a square with 33 feet sides = L × L = 33 × 33 = 1089
1089 > 1000
Answer:10 gallons of 30% solution and 30 gallons of 70% solution should be mixed.
Step-by-step explanation:
Let x represent the number of gallons of the 30% solution that should be mixed.
Let y represent the number of gallons of the 70% solution that should be mixed.
The total number of gallons of the mixture to be made is 40. This means that
x + y = 40
The 30% solution of fertilizer is to be mixed with a 70% solution of fertilizer in order to get 40 gallons of a 60% solution. This means that
0.3x + 0.7y = 0.6 × 40
0.3x + 0.7y = 24- - - - - - - - - - - - - -1
Substituting x = 40 - y into equation 1, it becomes
0.3(40 - y) + 0.7y = 24
12 - 0.3y + 0.7y = 24
- 0.3y + 0.7y = 24 - 12
0.4y = 12
y = 12/0.4
y = 30
x = 40 - y = 40 - 30
x = 10
Step-by-step explanation:
the slope of a line function is always the factor of x.
in our case here : 1/5
it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.
in our case that means y increases by 1 for every increase of x by 5.
now, the perpendicular slope simply changes x and y upside-down and flips the sign.
so, here the perpendicular slope is : -5/1 = -5
the line function looks therefore like
y = -5x + b
b is the y-intercept, and we get it by using the coordinates of the point for x and y :
-8 = -5×0 + b = b
so, the full line function is
y = -5x - 8
