Answer:
a = 33ft
b= 66ft
c = 48 ft
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- a (shortest side)= a
- b (second side)=2a (twice the length of the shortest side)
- c (third side)= a+15 ( 15 feet more than the length of the shortest side)
Since:
Perimeter = a+b+c
Replacing with the values given:
147 = a+2a+(a+15)
147 = a+2a+a+15
147-15 = a+2a+a
132 = 4a
132/4 = a
33 ft= a
Substituting a =33 in the other expressions:
b=2a = 2(33) = 66 ft
c= a+15 = 33+15 = 48 ft
Double the side and subtract by 360
Answer:
y > 6x -100
Step-by-step explanation:
the slope intercept equation of the line is
y=mx+b
m is the slope = (y2-y1) / (x2-x1) so between the y-intercept (0,-100) and the given point (25, 50) we have m= -100-50/0-25 = -150/-25 = 6
y= 6x -100
now we have to figure the inequqlity part so take point (0, 0) that belongs to the solution and substitute in the equation
0 = 6*0 -100
0 = -100 for the equation to be true we have to make it 0 > -100, we also need to make it NOT greater or equal then because the line is doted not solid so the inequality is
y > 6x -100
The equation g(x) in vertex form of a quadratic function for the transformations whose graph is a translation 4 units left and 1 unit up of the graph of f(x) is (x-4)² + 1
Given a quadratic function for the transformations given the function f(x) = x²
If the function g(x) of the graph is translated 4 units to the left, the equation becomes (x-4)² (note that we subtracted 4 from the x value
- Translating the graph 1 unit up will give the final function g(x) as (x-4)² + 1 (We added 1 since it is an upward translation.)
Hence the equation g(x) in vertex form of a quadratic function for the transformations whose graph is a translation 4 units left and 1 unit up of the graph of f(x) is (x-4)² + 1
Learn more here: brainly.com/question/15381183
Answer:
B. 3
Step-by-step explanation:
Since you are given that chord AB's length is 8 and is bisected by segment XC, that means segment BC's length is 4 and ∠XCB is a right angle. From there, we use Pythagorean Theorem to solve for length XC:
4² + b² = 5² (Or remember 3-4-5 makes a Pythagorean triple)
c = √(5²-4²)
c = 3
