A ∪ B is {1, 2, 3, 4, 5, 7}
Set up the union notation of set {1,2,3,4} and {2,5,7}.
{1,2,3,4}∪{2,5,7}
The union of two sets is the set of elements which are in either sets.
{1,2,3,4,5,7}
The equation of the line for given values is y = -5x - 7.
<h3>Given a point and a slope, how do you build an equation for a line?</h3>
When you know the slope of the line to be investigated and the provided point is also the y intercept, you may utilize the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.
The standard equation of straight line is y = mx + c.
Given m = -5 and y - intercept is -7
So, the equation of the line becomes y = -5x - 7
To learn more about equation of the line from given link
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Answer:
The price been reduced by a percentage of 40%
Step-by-step explanation:
we know that
$39.95 -----> represent the 100%
so
The difference of prices is equal to ($39.95-$23.97)=$15.98
Using proportion
Find the percentage of the difference
100/39.95=x/15.98
x=100*15.98/39.95
x=40%
Answer:
b
Step-by-step explanation:
b
Answer:
The answer is below
Step-by-step explanation:
Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse side is equal to the sum of the square of the remaining sides. The hypotenuse is the longest side (that is side opposite to the 90° angle).
In right angle triangle ABD:
AB² = AD² + BD² (1)
In right angle triangle ACD:
AC² = AD² + CD² (2)
Also:
AC² + AB² = BC² (3)
But BC = BD + CD
AC² + AB² = (BD + CD)² (4)
Adding equation 1 and 2 gives:
AB² + AC² = (AD² + BD²) + (AD² + CD²)
AB² + AC² = 2AD² + BD² + CD²
substituting AC² + AB² = (BD + CD)²:
(BD + CD)² = 2AD² + BD² + CD²
BD² + 2(BD)(CD)+ CD² = 2AD² + BD² + CD²
2AD² = 2(BD)(CD)
AD² = BD * CD
