Answer:
a = 2, b = - 5
Step-by-step explanation:
Given
y = ax² + bx
is the measure of the slope at x = a
Differentiate each term with respect to x using the power rule
(a
) = na
= 2ax + b, hence
2ax + b = 3 at (2, - 2)
Substitute x = 2 into
4a + b = 3 → (1) and substitute x = 2 into y
4a + 2b = - 2 → (2)
Subtract ( 1) from (2)
b = - 2 - 3 = - 5
Substitute b = - 5 into (1)
4a - 5 = 3 ( add 5 to both sides )
4a = 8 ( divide both sides by 4 )
a = 2
Hi there! Hopefully this helps!
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<h2>Answer: r = 7.</h2><h2>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</h2>Swap sides so that all variable terms are on the left hand side.
Subtract 10 from both sides.
Answer:
Oh man! I totally understand why you are struggling!
Step-by-step explanation:
You want the textbook or the cheat sheet?
Lets go with the cheat sheet.
So, notice the line segments, correct?
The way to find those is Pythagorean Theorem.
The squares of the legs of the triangle add up to the length of the hypotenuse squared. Imagine that the lengths of the sides ARE Hypotenuses. Then, form a triangle, with the legs (Other sides of the triangle except the hypotenuse) either vertically or horizontally(I explain it better below).
In other words, we need to create a right triangle with AB as the hypotenuse to use Pythagorean Theorem. How do we do that?
Count the number of units both vertically and horizontally from point A to B. Essentially, make a horizontal line segment starting at A, and stop it over B. Then, make a vertical line that goes down to B from that ending point (Remember to count the number of units along the way).
Those are your legs. Then, use those measurements in the Pythagorean Theorem:
I'm confident you can solve this! If you know mathematics...
Then, repeat for either AD or BC.
Then, use the formula for area of the Rectangle. How do we know that it is a rectangle? Well, I'm skipping this part because it will take too long to do, but I can explain it later if you want!
Oh, well.
Hope this helps! Stay Safe!