Answer: 
.
Step-by-step explanation:
If a line passing through two points, then
Endpoints of segment MN have coordinates (0, 0) and (5, 1).
Slope of MN 
The endpoints of segment AB have coordinates 
and 
.
.
Slope of AB 
Product of slopes of two perpendicular segments is -1.
Slope of MN × Slope of AB = -1
Therefore, the value of k is .
<span>The slope of the line is equal to (y - 7) / (x - 4)
Then we can set up this equation:
(y - 7) / (x - 4) = 3
y - 7 = 3 * (x - 4)
y - 7 = 3x - 12
y = 3x - 5
This is the equation of the line.</span>
Answer:
1) A
2) min; min; max; max
3) y = x² + 5x - 3
Step-by-step explanation:
f(x) = x² + 2(x)(5) + 5² - 5² + 24
f(x) = (x + 5)² - 25 + 24
f(x) = (x + 5)² - 1
In ax² + bx + c,
if a > 0, it's a min
if a < 0, it's a max
y = ax² + bx + c
Using (0,-3)
-3 = a(0)² + b(0) + c
c = -3
y = ax² + bx - 3
Using (1,3)
3 = a + b - 3
a + b = 6
Using (-1,-7)
-7 = a(-1)² + b(-1) - 3
-7 + 3 = a - b
a - b = -4
b = a + 4
a + (a + 4) = 6
2a = 2
a = 1
b = 5
y = x² + 5x - 3
Answer:
46/5 hope it helps!
Step-by-step explanation:
9x5= 45
45+1= 46
46/5
Step-by-step explanation:
∛9 × ∛-24
∛-216
∛(-6)³
-6
√(8y⁵) √(40y²)
√(320y⁷)
√(64y⁶ × 5y)
8y³√(5y)
