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>
The area is 186.03. lw = 15.9(11.7) = 186.03
Answer: 7 is in tens place
Step-by-step explanation: 8928 ÷ 24 = 372
Ones place - 2
Tens place - 7
Hundreds place - 3
The 7 is in the tens place
Collinear points are two or more points that lie on the same line.
this question came out in a juniour olympiad nigeria
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If the radius of the circle is 6 feet. Then the area of the circle will be 113.097 square feet.
<h3>What is a circle?</h3>
It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
The radius of the circle is 6 feet.
Then the area of the circle will be
Area = πr²
where r is the radius of the circle. Then we have
Area = π × 6²
Area = 36π
Area = 113.097 square feet
More about the circle link is given below.
brainly.com/question/11833983
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