Answer:
y = 1
Step-by-step explanation:
Given:
- equation of the parabola:
- points on the parabola: (-1, -9) and (1, 1)
Substitute point (1, 1) into the given equation of the parabola to find q:
Substitute the found value of q and point (-1, -9) into the given equation of the parabola to find a:
Therefore, the equation of the parabola is:
The maximum or minimum point on a parabola is the vertex.
Vertex form of a parabola: where (h, k) is the vertex.
Therefore, the vertex of the parabola is (1, 1) and so the maximum value of y = 1
Answer:
m∠c = 30°
Step-by-step explanation:
Given:
m∠e = 115° and m∠b = 85°
To find:
m∠c
Angle e and angle a are the linear pairs.
By the property of linear pair of angles,
m∠a + m∠e = 180°
m∠e = 180° - m∠a
115° = 180° - m∠a
m∠a = 180 - 115
= 65°
By the property of interior angles of a triangle,
m∠a + m∠b + m∠c = 180°
65° + 85° + m∠c = 180°
m∠c = 180 - 150
m∠c = 30°
Therefore, measure of angles c is 30°.
Answer:
i cant see the image so i cant help sorry
Step-by-step explanation:
Answer:
x³ - x²y
Step-by-step explanation:
x²(x - y) ← multiply each term in the parenthesis by x²
= x³ - x²y
<span>In the picture, we have two triangles. Since EDG was bisected, that means angle EDF and angle FDG are equal. We also see that the triangles contain 90 degree angles as well. Since two of three angles are the same, this means the third angle must also be the same. Because the triangles contain the same angle measurements, they are similar. Because they both share the same side, and all three angles, then the two triangles must be congruent.
This means that EF = FG
or, equivalently
n + 9 = 4n - 6
Solve this equation for n, then plug that value into FG</span>