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:
2 is the answer that I would give. The question says <u>distinct</u> solutions does this graph have.
Step-by-step explanation:
You are asked only how many times this crosses the x axis. You are not asked for an exact value. So the thing to do is graph the polynomial.
y = x^3 - 3x^2 + 4
The graph says that x = -1 with a multiplicity of 1
It also says that x=2 is a solution with a multiplicity of 2 (meaning there are 2 roots are the same).
So this polynomial factors into y = (x + 1)(x - 2)(x - 2)
Answer:
x equals 11 and y is 11 root 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: 
where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)
Given that the slope is 3, we can plug this into y=mx+b as <em>m</em>:
Now, to solve for <em>b</em>, simply plug in the given point:
Therefore, the y-intercept is 5. Plug this back into the equation:
I hope this helps!
