Well I THINK triangle ABC is just a stretched out version of triangle DEF.
To find the area of a triangle, you multiply base and height, and divide by 2.
Area of DEF is 6, so that means that (4 * x)/2 = 6.
6*2 = 12....
4 * x = 12........
4 * 3 = 12.
x = 3.
Comparing DEF to ABC: ABC's base is 3 times as long as DEF's. So that means the height must be three times as long.
3*3 = 9.
(12 * 9)/2 =54
Plug in 6.5 for x.
-8.5x-3.5x=-78
-8.5(6.5)-3.5(6.5)=-78
-55.25-22.75=-78
-78=-78
3x+4x+5x=90
combine like terms
12x = 90
divide by 12
x = 7.5
sides: 3(7.5) ,4(7.5) ,5(7.5)
22.5, 30, 37.5
Answer:
2/ 15
Step-by-step explanation:
since the probability is 16/ 120
then we simplify it till it gets 2/15
hope this helps
and good luck!
Answer:
(0,27)
Step-by-step explanation:
x2 + 27 = 0
Solutions based on quadratic formula:
x1
= −0 − √ 02 − 4×1×27
2×1
= 0 − 6 × √ 3 i
2
≈ −5.196152i
x2
= −0 + √ 02 − 4×1×27
2×1
= 0 + 6 × √ 3 i 2
≈ 5.196152i
Extrema:
Min = (0, 27)
