Answer:
D: 25 miles
Step-by-step explanation:
Pythagorean Theorem:
36^2 + b^2 = 39^2
1,296 + b^2 = 1,521
b^2 = 225
b = 25
We are given the following:
- parabola passes to both (1,0) and (0,1)
<span> - slope at x = 1 is 4 from the equation of the tangent line </span>
<span>First, we figure out the value of c or the y intercept, we use the second point (0, 1) and substitute to the equation of the parabola. W</span><span>hen x = 0, y = 1. So, c should be equal to 1. The</span><span> parabola is y = ax^2 + bx + 1 </span>
<span>Now, we can substitute the point (1,0) into the equation,
</span>0 = a(1)^2 + b(1) + 1
<span>0 = a + b + 1
a + b = -1 </span>
<span>The slope at x = 1 is equal to 4 which is equal to the first derivative of the equation.</span>
<span>We take the derivative of the equation ,
y = ax^2 + bx + 1</span>
<span>y' = 2ax + b
</span>
<span>x = 1, y' = 2
</span>4 = 2a(1) + b
<span>4 = 2a + b </span>
So, we have two equations and two unknowns,<span> </span>
<span>2a + b = 4 </span>
<span>a + b = -1
</span><span>
Solving simultaneously,
a = 5 </span>
<span>b = -6</span>
<span>Therefore, the eqution of the parabola is y = 5x^2 - 6x + 1 .</span>
Answer: 231
Step-by-step explanation: We can use PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) in order. Multiply 34 and 6: 204.
50 + 204 - 23. Add 50 and 204: 254. Subtract 254 and 23: 231.
Answer:
I think B option is correct ..I m 95% sure
Answer:
3y +22
Step-by-step explanation:
y + 6 + 2(y + 8)
Distribute the 2
y+6+2y+16
Combine like terms
3y +22
