Answer:
jj
Step-by-step explanation:
32
52
jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
Let's call the short side "s"
short side = "s"
middle side = 3s
longest side = 2*3*s
perimeter = 45 cm
perimeter = s + 3s + 6s = 45
short side = 4.5
middle = 13.5
long side = 27
4.5 + 13.5 + 27 = 45
1) a^2 = c^2 - b^2
a^2 = 5^2 - 4^2
a^ 2 = 9
(Square root 9)
a = 3
2) a^ 2 + b^2 = c^2
8^2 + 4^2 = c^2
80 = c^2
(Square root of 80)
C = 8.9 cm
3) a^2 + b^2 = c^2
6^2 + 2^2 = c^2
40 = c^2
(Square root of 40)
C = 6.3 cm
4) a^2 + b^2 = c^2
10^2 + 24^2 = c^2
676 = c^2
(Square root of 676)
C = 26
5) a^2 + b^2 = c^2
6^2 + 5^2 = c^2
61 = c^2
C = 7.8cm
6) a^2 + b^2 = c^2
12^2 + 12^2 = c^2
288 = c^2
C = 16.97cm
7) 8^2 + 6^2 = c^2
100 = c^2
C = 10
8) a^2 = c^2 - b^2
a^2 = 25^2 - 20^2
a^2 = 225
a = 15
9) a^2 = 14^2 - 9^2
a^2 = 115
a = 10.7cm
10) a^2 = 20^2 - 15^2
a^2 = 175
a = 13.2cm
11) Does 15^2 + 8^2 = 17^2?
289 = 289
Yes it’s a right angled triangle because 15^2 + 8^2 = 17^2
Do the same for the others
12) 7^2 + 5^2 = 74
9^2 = 81
So it’s not a right angled triangle
13) 5^2 + 12^2 = 169
13^2 = 169
It is a right angled triangle
14) 9^2 + 12^2 = 225
16^2 = 256
Not a right angled triangle
15) 10^2 + 24^2 = 676
26^2 = 676
It is a right angled triangle
16) 2^2 + 2^2 = 8
3^2 = 9
Not a right angled triangle
Answer:
1) (x + 4)(x - ½) = 0
4x² + 16x = 0
2) 0.25x² + 0.8x - 8 = 0
3x² - 4x = 15
Step-by-step explanation:
1) (x + 4)(x - ½) = 0
x = -4, ½
4x² + 16x = 0
4x(x + 4) = 0
x = 0, -4
2) (x - 6)(x + 9) = 0
x = 6, -9
(x - 1)² = 4
(x - 1)² - (2)² = 0
(x - 1 - 2)(x - 1 + 2) = 0
(x - 3)(x + 1) = 0
x = 3, -1
These two are easier to solve using product = 0 property, while the other two would be easier using the quadratic formula
Y = mx + b
m = (y2 - y1)/(x2 - x1)
y = (26,600 - 18100)/(20 - 10)x + b
y = 850x + b
18100 = 850(10) + b
b = 9600
R(x) = 850x + 9600
