Answer:
The number is 12
Step-by-step explanation:
4 times a number is 8 more than 40
Write the equation
4n=40+8
4n =48
Divide each side by 4 to isolate n
4n/4 = 48/4
n = 12
Answer:
306
Step-by-step explanation:
6*9=54
54*4=216
216+90=306
Since <span>y = x2 - 8x + 12 is a quadratic equation, it is the same of y=ax²+bx+c
the main formula of the vertex is x= -b/2a, and y=f(-b/2a)
for our case x= -(-8) / 2=4, and f(4)= -4
the answer is </span><span>B. (4, -4)</span>
Answer:
x + 49 + 28 = 180
Step-by-step explanation:
The angle adjacent to x on the left is vertically opposite 49° and is congruent.
The 3 angles then lie on a straight line and sum to 180° , that is
x + 49 + 28 = 180
This is the good part of Trigonometry, actually measuring triangles. It's much better than all the identities around sine and cosine and the rest, which actually have more to do with circles than triangles.
This part of trig has a short menu:
Law of Cosines. Three ways to write it, one is 
Law of Sines: 
Triangle angles: 
and two special cases of the Law of Cosines, the Pythagorean Theorem

and the Collinear Points Theorem:


Here we choose Triangle Angles followed by Law of Sines:
A = 180 - 105 -15 = 60 degrees


Answer: 1.8 cm
When I was a student we'd be expected to get
exactly and get

But that was before online homework.