Answer:
X=the smaller
y=the larger
The bigger of two numbers is four more than the smaller, then:
y=x+4
one more than twice the smaller is the same as the larger, then
1+2x=y
We have the following system of equations:
y=x+4
y=2x+1
We solve this system by equal values method:
x+4=2x+1
x-2x=1-4
-x=-3
x=3
We find the value of "y"now:
y=x+4
y=3+4
y=7
the values of x and y are:
x=3
y=7
Step-by-step explanation:
Answer:
k = -2
Step-by-step explanation:
f(x) = (x − h)² + k
(h, k) is the (x, y) coordinate of the vertex
For a vertex of (4, -2)
h = 4
k = -2
So pythagrorean theorem is the ideal way and easiest way to solve this
a^2+b^2=c^2
8.5^2+11^2=x^2
72.25+121=193.25
square root of 193.25=13.9014 or 13.9 in
9.5^2+15^2=x^2
90.25+225=315.25
square root of 315.25=17.7553 or 17.8 ft
(4x+1)(2x+3)=8x*2+12x+2x+3
= 8x*2+14x+3
Answer: 
Step-by-step explanation:
Let the smallest angle be x.
Then, the middle angle is x+30.
The largest angle is 2x+30.
Angles in a triangle add to 180 degrees, so:

So, the angles measure 