Answer:
The original triangle has sides of 18 cm, 18 cm and 10 cm
Step-by-step explanation:
Let x cm be the length of the leg of the original triangle and y cm be the length of the base of the original triangle.
1. Since the perimeter of the original triangle is 46 cm, then
x+x+y=46.
2. If it's base were lengthened by 3 cm, then it becomes y+3 cm. If each leg were shortened by 5 cm, then each leg becomes x-5 cm. All three sides became equal, then
y+3=x-5.
3. Solve the system of two equations:
Then 
Answer:
Step-by-step explanation:
63= 3 * 3 * 7
63 will come in 7th table. 7*9. here 7 is a prime and 9 is composite number. 3*3 = 9. So 63 = 3*3*7
The graph of g(x) = -x^2 is a reflection in the x-axis of the graph of f(x) = x^2. Both graphs have one x-intercept as both graphs have their vertices at the origin, (0,0).
First we find the vertex of parabola
The vertex of parabola is
Here,
b = coefficient of x term
a = coefficient of x² term
For given parabola, b = 0 , a = -12
So,
And,
Thus the vertex of parabola is (0, 7)
To find another point on parabola, substitute x by 1.
So the second point on parabola is (1,-5)
The plot of parabola is shown in image below:
Answer:
The answer to your problem will be A.
Step-by-step explanation:
