Answer:
(3,1)
Step-by-step explanation:
y=-4x^2+24x-35
x-intercept of the vertex formula:
v=-b/2a
a=-4
b=24,
c=-35
v = - 24/2(-4)
v = -24/-8
v = 3
substitute x as v
y= -4(3)^2 + 24(3) - 35
y= -4(9) + 72 - 35
y = -36 +72 - 35
y = 36 - 35
y = 1
therefore the vertex is
(3,1)
Answer:
12
Step-by-step explanation:
x² - 16x + 60 = -12
→ Add 12 to both sides
x² - 16x + 72 = 0
Answer:
x = 1
, y = 3 thus: A is your Anser
Step-by-step explanation:
Solve the following system:
{2 x + y = 5 | (equation 1)
x + y = 4 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{2 x + y = 5 | (equation 1)
0 x+y/2 = 3/2 | (equation 2)
Multiply equation 2 by 2:
{2 x + y = 5 | (equation 1)
0 x+y = 3 | (equation 2)
Subtract equation 2 from equation 1:
{2 x+0 y = 2 | (equation 1)
0 x+y = 3 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 1 | (equation 1)
0 x+y = 3 | (equation 2)
Collect results:
Answer: {x = 1
, y = 3
By translating a shape, you are basically moving it around the graph. For example, one of the points of your shape could be on the origin (0,0). You could then translate it 4 units up and 6 units to the left. You would write this translation as (x-6, y+4). If you were starting at (0,0) your point translation would be at (-6, 4), but if you were to translate a point at (1, 1) your translated point would be at (-5, 5).
P’(-10,-12) Q’(-2,4) R’(8,8)
