<em>Step #1: </em>
Make sure the equation is in the form of [ Ax² + Bx + C = 0 ].
Yours is already in that form.
A = 1
B = 2
C = -2
<em>Step #2:</em>
The 'discriminant' for that equation is [ B² - 4 A C ].
That's all there is to it, but it can tell you a lot about the roots of the equation.
-- If the discriminant is zero, then the left side of the equation is a perfect square,
and both roots are equal.
-- If the discriminant is greater than zero, the the roots are real and not equal.
-- If the discriminant is less than zero, then the roots are complex numbers.
The discriminant of your equation is [ B² - 4 A C ] = 2² - 4(1)(-2) = 4 + 8 = 12
Your equation has two real, unequal roots.
The answer to this question is x=-7
Solutions
We know that a rectangle has four sides and the perimeter of a rectangle is the distance around the outside of the rectangle.The opposite sides of a rectangle are congruent To find the perimeter you have to use the formula 2 × <span>(Side A + Side B).
</span>
We have the side lengths 7.7 mm and 17.2 mm.
Solve
2 × <span>(Side A + Side B)
2 </span>× <span>( Side A (7.7) + Side B (17.2) )
</span>= (7.7 x 2) + (17.2 x 2)
= 49.6
<span>The perimeter is 49.6 mm². </span>
We are given 4 points.
![(\frac{1}{2},2)](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7D%2C2%29)
![(\frac{5}{8},\frac{5}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7B5%7D%7B8%7D%2C%5Cfrac%7B5%7D%7B2%7D%29)
![(\frac{3}{4},3)](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B4%7D%2C3%29)
![(\frac{7}{8},\frac{7}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7B7%7D%7B8%7D%2C%5Cfrac%7B7%7D%7B2%7D%29)
Using this, we can make an equation.
![y=4x](https://tex.z-dn.net/?f=y%3D4x)
I got
by using the slope formula.
![m=\frac{2.5-2}{0.625-0.5}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B2.5-2%7D%7B0.625-0.5%7D)
![m=\frac{0.5}{0.125}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B0.5%7D%7B0.125%7D)
![m=4](https://tex.z-dn.net/?f=m%3D4)
So the equation we have is ![y=4x](https://tex.z-dn.net/?f=y%3D4x)
Now, we can solve for how much peanut butter is used to make 25 packages by plugging in 25 for
, which is the number of cracker packages.
![25=4x](https://tex.z-dn.net/?f=25%3D4x)
![x=\frac{25}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B25%7D%7B4%7D)
We need to use
teaspoons of peanut butter to make 25 packages of crackers.
Hope this helps.
頑張って!
Answer:
Exact form is ![\frac{16}{5} +\frac{3^2}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B5%7D%20%2B%5Cfrac%7B3%5E2%7D%7B5%7D)
the decimal form is 5
Step-by-step explanation: