Answer:
3. 18 + 18 + 7 + 7 = 50
4. 120 degrees
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given (h, k) = (0, - 7) and r = 11, then
(x - 0)² + (y - (- 7))² = 11², that is
x² + (y + 7)² = 121 → A
Answer:
To determine if two fractions are equivalent, cross multiply. To cross multiply, you multiple the numerator of the first fraction by the denominator of the second. Then you multiply the denominator of the first fraction by the numerator of the second. If the two numbers are equal, the fractions are equivalent
Step-by-step explanation:
Answer:
Yes, parallelogram OABC is a rectangle.
Step-by-step explanation:
The vertices of a parallelogram are O(0,0), A(-4,1), B(-3,5) and C(1,4).
A parallelogram is a rectangle if its any two adjacent sides are perpendicular to each other.
product of slopes of two perpendicular lines is -1.
Formula for slope is
Using the formula we get
It means OA is perpendicular to AB.
Since two adjacent sides are perpendicular, therefore the given parallelogram OABC is a rectangle.
Gradient =
Change in Y
———————
Change in X
Change in Y is 18 - 14 = 4
Change in X is -20 - 30 = -50
Therefore the gradient is 4/-50 which is then simplified to - (2/25)
