Answer:
a = 2
Step-by-step explanation:
Let's find the equation of the line using the 2 points given.
Let's call -1 as x_1 and -5 as y_1
also, 4 as x_2 and 5 as y_2
The equation of line is :

<em>Let's plug the points and get the equation of the line:</em>

Now, to find a, we substitute a in x and 1 in y of the equation of the line we just got:

Answer:
Correct choice is 2. 
Step-by-step explanation:
We have been given a graph of the quadratic function. Now we need to use that graph to find the equation of the graph in vertex form. By the way given choices written in intercept form so to be accurate we are going to find the equation in intercept form.
from graph we see that x-intercepts are at 5 and -2.
we know that if x=a is x-intercept then (x-a) must be factor.
So (x+2)(x-5) is the factor.
when leading coefficient is positive then graph opens upward.
so that means leading coefficient is 0.4
Hence correct choice is 2. 
It would be 6.5. The 5 after the decimal would stay the same since the number after it isn't greater than 5
Answer:
Measure angle B = 65 degrees AB = 34 AC = 30
Step-by-step explanation:
Triangle Sum Theorem: 180 - 90 - 25 = 90 + 25 + 65 = 180
Tangent 25 = 16/x
AB = 34
Pythagorean Theorem Equation:
![b =[]\sqrt{34^{2} - 16^{2}}= \sqrt{900}= 30](https://tex.z-dn.net/?f=b%20%3D%5B%5D%5Csqrt%7B34%5E%7B2%7D%20-%2016%5E%7B2%7D%7D%3D%20%5Csqrt%7B900%7D%3D%2030)
AC = 30