Answer:
Sorry for the sloppiness of the drawing
Step-by-step explanation:
Answer:
Step-by-step explanation:
y = -1/3x + 2
m1 = -1/3
Slope of the perpendicular line = -1/m1 = -1 ÷
= 
Equation of the required line : y = mx +b
y = 3x + b
Plugin x = 2 and y 10 in the above equation
10 = 3*2+ b
10 = 6 +b
10 - 6 = b
b = 4
Equation: y = 3x + 4
I will one only and you do the rest.
Let x = -2
Plug into given function.
f(-2) = 2 - 5(-2)
f(-2) = 2 + 10
f(-2) = 12
So, when x = -2, f(x) = 12.
Table:
x............ f(x)
-2 12
-1
0
1
2
Find the rest the same way.
Answer:
Total distance = 30.3 units
Step-by-step explanation:
Coordinates for the location of Alanah, Mia, Teresa and Arena are,
Alanah → (2, 8)
Mia → (8, 16)
Teresa → (8, 2)
Arena → (14, 4)
Distance between two points
and
is given by the formula,
d = 
Distance between Alanah and Mia = 
= 
= 10 units
Distance between Mia and Teresa = 
= 14 units
Distance between Teresa and Arena = 
= 
= 6.3 units
Total distance of Alanah's trip to Arena = 10 + 14 + 6.3
= 30.3 units
Answer:
x-intercepts are (0, 0) and (-6, 0)
Step-by-step explanation:
equation of a parabola in vertex form: y = a(x - h)² + k
where (h, k) is the vertex
Substituting the given vertex (-3, -18) into the equation:
y = a(x + 3)² - 18
If the y-intercept is (0, 0) then substitute x=0 and y=0 into the equation and solve for a:
0 = a(0 + 3)² - 18
⇒ 0 = a(3)² - 18
⇒ 0 = 9a - 18
⇒ 9a = 18
⇒ a = 2
Therefore, y = 2(x + 3)² - 18
To find the x-intercepts, set the equation to 0 and solve for x:
2(x + 3)² - 18 = 0
Add 18 to both sides: 2(x + 3)² = 18
Divide both sides by 2: (x + 3)² = 9
Square root both sides: x + 3 = ±3
Subtract 3 from both sides: x = ±3 - 3
so x = 3 - 3 = 0
and x = -3 - 3 = -6
So x-intercepts are (0, 0) and (-6, 0)