Answer:
The slope is 0.3.
Step-by-step explanation:
1.5x + 4.5y = 18
<u>4.5y</u> = <u>18 - 1.5x</u>
4.5 4.5
y = 4 - 0.3x
Answer:
"A translation of 7 units to the left followed by a translation of 1 unit down".
Step-by-step explanation:
There are multiple transformations that map one point into another, here is one example that works particularly for translations, which are the simplest (and usually the most used) transformations.
Suppose that we have the point (a, b) which is transformed into (a', b')
Then we have a horizontal translation of (a' - a) units followed by a vertical translation of (b' - b) units.
(the order of the translations does not matter, is the same having first the vertical translation and then the horizontal one).
Here we have the point A (3, 4) transformed into (-4, 3)
Then we have a horizontal translation of ((-4) - 3) = -7 units followed by a vertical translation of (3 - 4) = -1 units.
Where a horizontal translation of -7 units is a translation of 7 units to the left, and a vertical translation of -1 unit is a translation of 1 unit down.
Then we can write this transformation as:
"A translation of 7 units to the left followed by a translation of 1 unit down".
<span>60
Sorry, but the value of 150 you entered is incorrect. So let's find the correct value.
The first thing to do is determine how large the Jefferson High School parking lot was originally. You could do that by adding up the area of 3 regions. They would be a 75x300 ft rectangle, a 75x165 ft rectangle, and a 75x75 ft square. But I'm lazy and another way to calculate that area is take the area of the (300+75)x(165+75) ft square (the sum of the old parking lot plus the area covered by the school) and subtract 300x165 (the area of the school). So
(300+75)x(165+75) - 300x165 = 375x240 - 300x165 = 90000 - 49500 = 40500
So the old parking lot covers 40500 square feet. Since we want to double the area, the area that we'll get from the expansion will also be 40500 square feet. So let's setup an equation for that:
(375+x)(240+x)-90000 = 40500
The values of 375, 240, and 90000 were gotten from the length and width of the old area covered and one of the intermediate results we calculated when we figured out the area of the old parking lot. Let's expand the equation:
(375+x)(240+x)-90000 = 40500
x^2 + 375x + 240x + 90000 - 90000 = 40500
x^2 + 615x = 40500
x^2 + 615x - 40500 = 0
Now we have a normal quadratic equation. Let's use the quadratic formula to find its roots. They are: -675 and 60. Obviously they didn't shrink the area by 675 feet in both dimensions, so we can toss that root out. And the value of 60 makes sense. So the old parking lot was expanded by 60 feet in both dimensions.</span>
They would have 2 because is it 10:1 just double it to be 20:2
Answer:
See explanation
Step-by-step explanation:
Among 806 people asked which is there favorite seat on a plane, 492 chose the window seat, 8 chose the middle seat, and 306 chose the aisle seat, then
a) One randomly selected person preferes aisle seat with probability
b) Two randomly selected people both prefer aisle seat (with replacement) is
c) Two randomly selected people both prefer aisle seat (without replacement) is
