Answer:
y = -3/2x + 2
Step-by-step explanation:
Since you know it has a point at (0, 2) - the y intercept, put those values into the equation and solve. To be perpendicular it seems the reciprocal of the slope with the opposite sign, so 2/3 is the original slope, and -3/2 becomes the new slope.
y = 2/3x + 8 becomes
2 = -3/2(0) + b We substitute in the x and y values, but we have to figure out what the last number will be.
2 = 0 + b
b = 2
So put the whole equation together
y = -3/2x + 2
Answer:
i. The ratio of the areas of the two triangles is 5:8.
ii. The area of the larger triangle is 24 in².
Step-by-step explanation:
Let the area of the smaller triangle be represented by
, and that of the larger triangle by
.
Area of a triangle =
x b x h
Where; b is its base and h the height.
Thus,
a. The ratio of the area of the two triangles is:

Area of smaller triangle =
x b x h
=
x 5 x h
=
h
Area of the lager triangle =
x b x h
=
x 8 x h
= 4h
So that;
Ratio = 
= 
The ratio of the areas of the two triangles is 5:8.
b. If the area of the smaller triangle is 15 in², then the area of the larger triangle can be determined as;
= 
= 
5
= 15 x 8
= 120
= 
= 24
The area of the larger triangle is 24 in².
Answer: 18x^2 + 48x - 50
Step-by-step explanation: In order to determine the area of the rectangle not covered by the turtle pond, we shall calculate the area of the square pond and subtract it from the area of the rectangle.
The area of the square is given as
Area = L x B, where A and B are of equal measurement (sides of a square)
Area = 8 x 8
Area = 64 ft^2
Next we calculate the area of the rectangle which is given as
Area = L x B, where L = 6X + 2 and W = 3X + 7
Area = (6X + 2) (3X +7)
Area = 18X^2 + 42X + 6X + 14
Area = 18X^2 + 48X + 14
We can now subtract the area of the square from the area of the rectangle
That is Area of the shaded region
= 18X^2 48X + 14 - 64
= 18X^2 + 48X - 50
Therefore, the area of the shaded region = 18X^2 + 48X - 50
The equation looks like this
y≤ -1/3x + 4
And it looks like
Answer:
4(x + 3) / 4x + 12
Step-by-step explanation:
the image linked is showing 4 green whihc means 4x and 12 squares so I multiply 4 x 3 whihc is 12