Answer:
m=-2
entire equation in slop int. form is: 7=-2x+5
Yes since the four sides are always parallel in a square <span />
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:
39,096,288
Step-by-step explanation:
as we know that
The number of ways to pick 5 numbers from 45 are
= 1,221,759.
There are 32 ways to pick a gold ball so total number of ways to get 6 matching numbers is
1221759×32
= 39,096,288
The lines that intersect to form square corners that are right angles are called: C. perpendicular lines.
<h3>What are Perpendicular Lines?</h3>
Perpendicular lines are lines that intersect each other at a point and forms for square corners that are right angles at that point of intersection.
An example of perpendicular lines is shown in the image attached below.
Thus, the lines that meet to form right angles are called: C. perpendicular.
Learn more about perpendicular lines on:
brainly.com/question/1202004
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