<u>Answer:</u>
Given below.
<u>Explanation:</u>
Coordinates given: W( -4, -3 ) , X( 1 , -2 ), Y(2, -7 ) , Z( -3, -8)
To find the distance we will use the formula: distance=√((x2-x1)²+(y2-y1)²)
WX = √((1--4)²+(-2--3)²)
= √26
YZ = √((-3-2)²+(-8--7)²)
= √26
XY = √((2-1)²+(-7--2)²)
= √26
WZ = √(-3--4)²+(-8--3)²
= √26
WY = √(2--4)²+(-7--3)²
= 2√13
XZ = √(-3-1)²+(-8--2)²
= 2√13
Answer:
the x-coordinates of the intersection point of the lines y = 3x + 5 and y = 2x – 7
Step-by-step explanation:
When you set two equations or functions equal to each other that is saying you want to know when the graphs intersect. So the y and x intercept don't matter, unless you combined the terms like this.
3x + 5 = 2x – 7
x + 12 = 0 then that terms x intercept woudl be the x coordinate of the intersection of the other two terms. But remember, this is onlyif you combines the two functions.
Of your options you just want the ones dealing with the intersection point. And of those two we are plugging in x, so we want the x coordinate.
<u>Answer:</u>
D. |–c| = 3 and –|d| = 4
<u>Step-by-step explanation:</u>
We are given these values of two variables and asked which of the statements in the given options is true:
c = –3 and d = 4
In mathematics, we know that the absolute value or modulus of a real number x is the non-negative value of x despite of whatever sign it has, positive or negative.
Therefore, the modulus of c |–c| = 3 and modulus of –|d| = 4 so option D is the correct one.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
One of the cars are blue. it can travel 31 1/2 miles on 1 1/4 gallons of gasoline. Converting 31 1/2 miles to decimal, it becomes 31.5 miles. Converting 1 1/4 gallons of gasoline to decimal, it becomes 1.25 gallons of gasoline.
Therefore, the miles per gallon for the blue car is
31.5/1.25 = 25.2 miles per gallon.
Another car is red it can travel 28 4/5 miles on 4/5 gallon of gasoline.
Converting 28 4/5 miles to decimal, it becomes 28.8 miles. Converting 4/5 gallons of gasoline to decimal, it becomes 0.8 gallons of gasoline.
Therefore, the miles per gallon for the red car is
28.8/0.8 = 36 miles per gallon.
