Least to greatest:
0.138, 1.1, 1.412, 1.414213.
Answer:
Let's talk through this a one step at a time.
*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.
*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.
*At this point, f(x-5) has its vertex at (5,0).
*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]
*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence
Answer:
C
Step-by-step explanation:
Well You can tell right away its a positive line since its rising from left to right so the answer has to be positive
If the slope were to be 4 the line would be a Little more titleted becuasea slope of 4 is going up 4 and going tot he right 1.
ANd you can’t heck from any given point and just try all the positivw possibilties.
Or you can just use rise over run, start form a point, rise which means go up until you reach the second layer of the line and just run (go To The right) until you hit a point.
You’ll get 1/4
The triangle is isosceles so m∠A and m∠C are the same.
So to find ∠B, we do 74 + 74 + b = 180
148 + b = 180
b = 180 - 148
b = 32
Answer B is the right choice.
Answer:
Step-by-step explanation:
we know that
DGH ~ DEF ---> given problem
Remember that
If two triangles are similar, then the rtio of its corresponding sides is proportional and its corresponding angles are congruent
so
substitute the given values
