Y = a(x - h)² + k • (h, k) is the vertex • x = h is line of symmetry so y = ax² - 2x - 3 y/a = x² - 2/ax - 3/a y/a + 3/a = x² - 2/ax y/a + 4/a= x² - 2/ax + (-1/a)² ← completing the square y/a + 4/a= (x - 1/a)² y/a = (x - 1/a)² - 4/a y = a(x - 1/a)² - 4 so since you've been given h = 1 then 1/a = 1 and so a = 1
Answer:
x=53
x+2= 53+2= 55
Step-by-step explanation:
(x+2) + x + 72 = 180 (angles of triangle supplementary)
2x+ 74 = 180
2x = 180- 74
2x= 106
x= 106/2
x= 53
Answer:
x=7
Step-by-step explanation:
isolate the variables by dividing each side by factors that dont contain the variable x=7
Answer: The answer is c- y=-2x+4
Explanation:
Answer:
Step-by-step explanation:
<h3>Given</h3>
- H is the circumcenter of triangle BCD,
- BC = 18
- HD = 14
<h3>To find </h3>
<h3>Solution</h3>
- Triangle BHD is isosceles, therefore BH = HD
- Point E is midpoint of BC, therefore BE = 1/2BC
<u>Using Pythagorean, finding the value of EH:</u>
- EH = √(BH² - BE²) = √(14² - (18/2)²) = √(196 - 81) = √115 = 10.72
