Answer:
x = 1/20 y^2
Step-by-step explanation:
This is a rightward opening (sideways ) parabola
Directrix = x = -5
Distance formula form point x,y to directrix and focus are equal:
(x - -5)^2 = (x-5)^2 + y^2
x^2 + 10x + 25 = x^2 - 10x + 25 + y^2
20x = y^2
x = 1/20 y^2
The one that makes the most sense is C
Answer:
z = 70°
y = 103°
Step-by-step explanation:
From the picture attached,
110° + z° = 180° [Supplementary angles]
z = 180 - 110
z = 70°
Since sum of interior angles of a polygon = (n - 2)×180°
where n = number of sides of the polygon
For a quadrilateral (n = 4),
Sum of interior angles = (4 - 2) × 180°
= 360°
z° + y° + 100° + 87° = 360°
70° + y° + 187° = 360°
y = 103°
Therefore, measure of the angles x = 70° and y = 103°.
Answer:
30
Step-by-step explanation:
This problem can be done without the Distance Formula (which is a way to find the distance between any two points in the plane).
The attached image shows the points and segments joining them.
PQ = 5 because the points are on the same horizontal line, and you can count spaces between them (or subtract x-coordinates: 4 - (-1) = 5).
PR = 12 because the points are on the same vertical line; count spaces or subtract y-coordinates, 7 - (-5) = 12.
The triangle is a right triangle, so the Pythagorean Theorem can be used to find the length of the hypotenuse.
The perimeter of the triangle is 5 + 12 + 13 = 30
Answer:
Step-by-step explanation:
3a + 26 = 86
3a = 86 - 26 = 60
a = 60/3 = 20