Answer:
c and d
Step-by-step explanation:
the x intercepts are the solutions
E=mc^2 if m=3 and c=6
e=3(6^2)
e=3(36)
e=108
Answer:
x=6
Step-by-step explanation:
I would look at this triangle and notice that x can be solved by setting up a ratio.
I generally put the short side of the triangle on the top and the long side on the bottom
4/x = x/9
You then cross multiply to get 36=x^2, or +-6=x
A length of a triangle cannot be negative, so we are left with the answer x=6
Answer:
the scale factor and the ratio of their perimeters is 8/9
Step-by-step explanation:
k^2=area 1/area 2
k^2=64/81
=square root if k^2=square root of 64/81
=<u>k</u><u>=</u><u>8</u><u>/</u><u>9</u>
<h3>
Answer: 80 meters</h3>
This is an isosceles triangle. The dashed line is the height which is perpendicular to the base 120. The height is always perpendicular to the base. The dashed line cuts the base into two equal pieces (this only works for isosceles triangles when you cut at the vertex like this).
So we have two smaller triangles each with a base of 60 and a height of x. Focus on one of the right triangles and use the pythagorean theorem to solve for x.
a^2 + b^2 = c^2
x^2 + (60)^2 = (100)^2
x^2 + 3600 = 10000
x^2 = 10000 - 3600
x^2 = 6400
x = sqrt(6400)
x = 80
Each smaller right triangle has side lengths of 60, 80, 100
Note the ratio 60:80:100 reduces to 3:4:5. A 3-4-5 right triangle is a very common pythagorean primitive.
