Answer:
The best thing to do here is to put each of these into fractions, with the total (31) as the denominator.
14/31= silver
6/31= black
8/31= copper
3/31= various colours.
As you're looking for the keys that are silver or copper, you've got to add the two denominators together, which gives you 14+8= 22.
This cannot be simplified further, therefore, the probability of choosing either a silver or copper key is 22/31.
Hope this answer helps you :)
Have a great day
Mark brainliest
if it is solution point (4, –2) must satisfy both equations
(1) –3x – 2y = –8-->-3*4-2*(-2)=-8
-12+4=-8 then-->-8=-8 ok
(2) y = 2x – 5
-2=2*4-5=3---------->-2 is not 3
the point (4, –2) is not solution of the system of equations
Answer:
68.302
Step-by-step explanation:
68302/1000=68.302
hope this helps :)
Answer:
the slope is 4/1 because it's 4x and the y intercept is -4
Longer leg = x + 4
Shorter leg = x
Hypotenuse = x + 8
Using Pythagorean Theorem:
a^2 + b^2 = c^2
(x + 4)^2 + x^2 = (x + 8)^2
x^2 + 8x + 16 + x^2 = x^2 + 16x + 64
2x^2 + 8x + 16 = x^2 + 16x + 64
2x^2 +8x = x^2 + 16x + 48
2x^2 - 8x = x^2 + 48
x^2 - 8x = 48
x^2 - 8x - 48 = 0
You can complete the square from here or use the quadratic formula.
Completing the square:
x^2 - 8x = 48
x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2
x^2 - 8x + 16 = 48 + 16
(x - 4)(x - 4) = 64 or (x - 4)^2 = 64
x - 4 = +√64 OR x - 4 = -√64
x - 4 = +8 OR x - 4 = -8
x = 12 OR x = -4
However, you can't use negative 4 as a length because your length needs to be a positive.
So x will be 12.
Shorter leg: 12
Longer leg: 12 + 4
Hypotenuse: 12 + 8
