Answer:
The answer is below
Step-by-step explanation:
The equation x² - 3x - 2 cannot be factorized, I think the correct question is:
factorize x² - 3x + 2
Solution:
A quadratic equation is a polynomial equation of the second degree (that is there is at least one term with a degree of 2).
The standard form of a quadratic equation is given by the equation:
ax² + bx + c = 0
Where a, b, and c being constants and x is the unknown variable.
Given:
x² - 3x + 2
= x² - 2x - x + 2
= x(x - 2) -1(x - 2)
= (x - 1)(x - 2)
In a typical 30-60-90 triangle (which happens to be a right triangle, by the way), the sides, in increasing order, would be multiples of 1, sqrt(3) and 2.
Here, sqrt(3) is the longer leg (it's longer than 1).
Thus, the ratio of the length of the longer leg to the length of the hypotenuse
is sqrt(3)
----------
2
The range is y values and domain is x values
y intercept here is 5 and since the function is increasing thus the range would be all real values bigger than or equal to 5
And the domain would be all real numbers.
Hi! I'm happy to help!
Point slope form states that y-
=m(x-
). m represents your slope (rise/run) and and represent your first y and x points, and y and x represent your second y and x points. We already have our equation here:
y - 4 = 1/4(x- 8)
Now, let's dive into what slope-intercept form is. Slope intercept form states that y=mx+b. m represents our slope, b represents our y intercept, y represents a y point, and x represents the corresponding x point.
Since we know our m, we can solve for b, by using our other numbers. Let's use our first set of coordinates.
4=1/4(8)+b
4=2+b
2=b
Now our second set to double check:
2=1/4(0)+b
2=0+b
2=b
We know that b must equal 2, so our equation must be y=1/4x+2, which is option 3.
<u>You should pick option 3.</u>
<u>(y-intercept is where the line hits the y-axis(when x=0). We could've used our second coordinates (0,2), where x equals 0 to know that 2 is the y-intercept (b). This shortcut only works on specific problems though.)</u>
I hope this was helpful, keep learning! :D
Answer:
student a because the line has a negative slope not a positive slope
Step-by-step explanation:
