Answer: C
Step-by-step explanation:
Segments AC and CE are collinear, meaning they must have equal slopes.
Answer:
(x + 12)² + (y + 32)² = 1031
Step-by-step explanation:
137 + 64y = -y² - x² - 24x
Arrange the terms in descending powers of x and y.
x² + 24x + y² + 64y = -137
Complete the squares for x and y
(x² + 24x + 144) + (y² + 64y + 1024) = -137 + 144 + 1024
Write the equation as the squares of binomials of x and y
(x + 12)² + (y + 32)² = 1031
This is the equation of a circle with centre at (-12, -32) and radius r = √1031.
Answer:
there are holes at x= 3/2 and x=-1/3
Step-by-step explanation:
In this question, it is given that
A triangle has a height of 8 feet and an area of 48 square feet.
Let the base is represented by b feet .
And the formula of area of triangle is
Substituting the given values, we will get
So the height of the triangle is 12 feet .
Answer:
4√3 feet
Step-by-step explanation:
Here, a ladder is resting against a house makes a 60° with the ground,
Consider x be the distance of the top of ladder from the foot of house and y be the distance of bottom of ladder from the house. ( shown in the below diagram )
Using trigonometric ratio,
We have, length of ladder = 8 ft,
Hence, the house would reach 4√3 feet up.