5y=4x+10 /:5
y=4/5 x+2
y=mx+k
m₁*m₂=-1
4/5 *m=-1
m=-5/4
y=-5/4 x+k
-5/4*(-15)+k=8
75/4 + k=8
k=32/4 - 75/4
k=-53/4=-13.25
y=-5/4 x - 53/4
Answer:
45%
40 yellow chips
Step-by-step explanation:
Total chips: 9 + 11 = 20
P(Male) = 9/20 × 100 = 45%
60% of 100
60/100 × 100
60 red
100 - 60 = 40 yellow chips
Answer:
see below
Step-by-step explanation:
<em>Which of the equations from part A represent adding two rational numbers?</em>
Equations A, C, E
<em>What hypothesis can you make about the sum of two rational numbers?</em>
The sum of two rationals will always be rational
<em>Will the addition result in a rational or an irrational number?</em>
Our hypothesis is that the result is always rational. This can be justified by the fact that the sum of two rationals a/b + c/d, where a, b, c, d are integers and bd≠0, is (ad+bc)/(bd), a rational, based on closure of integers for multiplication and addition.
<em>Which equations represent the sum of a rational and an irrational number?</em>
Equations B, F
<em>What hypothesis can you make about the sum of an irrational and a rational number?</em>
The sum of a rational and irrational number is always irrational.
Answer:
Step-by-step explanation:
The initial value is the value when x = 0.
For x = 0,
Answer:
Mid-point: 
Equation: 
Step-by-step explanation:
To find the mid-point of AB, simply add up their x and y coordinates and divide by 2 respectively to find their middle point.
To find the perpendicular slope that passes through the mid-point, we need to know the slope between AB first.
Slope of AB: 
= 
= 
= 
Multiplying slopes that are perpendicular with each other always results in -1.
By the point slope form:
Plug in the coordinates of the mid-point:
Equation:
