Answer:
perimeter = 50
Step-by-step explanation:
Tangents to a circle from an external point are congruent , then
perimeter = (8 + 8) + (10 + 10) + (7 + 7) = 16 + 20 + 14 = 50
Answer:
132 cm²
Step-by-step explanation:
Consider the shape as a trapezoid with a rectangle added on top.
The area of the trapezoid is (7+19)/2 × 8 =104
The area of the rectangle is 7×4 = 28
Add the two areas: 104+28= 132
OR consider the shape as a tall rectangle with the two triangles added to the sides.
The area of the rectangle is 7(4+8) = 84
The area of the triangles is 8(19-7)/2= 48
[Each triangle is 24 cm²]
Add those areas
84+48=132
Same result: 132 cm²
Answer:
It is an irrational number, 
as a decimal rounded to the tenth place is 1.7
Step-by-step explanation:
All square roots are irrational numbers
The general form of a parabola when using the focus and directrix is:
(x - h)² = 4p(y - k) where (h, k) is the vertex of the parabola and 'p' is distance between vertex and the focus. We use this form due to the fact we can see the parabola will open up based on the directrix being below the focus. Remember that the parabola will hug the focus and run away from the directrix. The formula would be slightly different if the parabola was opening either left or right.
Given a focus of (-2,4) and a directrix of y = 0, we can assume the vertex of the parabola is exactly half way in between the focus and the directrix. The focus and vertex with be stacked one above the other, therefore the vertex will be (-2, 2) and the value of 'p' will be 2. We can now write the equation of the parabola:
(x + 2)² = 4(2)(y - 2)
(x + 2)² = 8(y - 2) Now you can solve this equation for y if you prefer solving for 'y' in terms of 'x'
