Answer:
1. V = 18
2. P = 5
3. B = 8
4. N = 6
5. M = -16
6. X = -6
7. M = -4
8. P = 1
9. V = -12
10. N = -7
11. X = -13
12. B = 4
13. B = -108
14. N = 4
Step-by-step explanation:
- Move all terms not containing the variable to the right side of the equation.
- Solve the variable by simplifying both sides of the equation, then isolating the variable.
- Divide each term and simplify.
- Isolate the variable by dividing each side by factors that don't contain the variable.
<span>1. c, b
2. c, b
1.
To solve this problem, you really need to get a piece of graph paper and draw the triangles. For the triangle RST, you'll see that it's a right triangle with R being the right angle. The long leg of the triangle is close to the origin and the short leg is immediately below R. Then when you draw the triangle R'S'T', you'll see that it's still a right triangle. But now the long leg is parallel to the y axis and S' is now above R' instead of S being to right of R in the original triangle. So it looks like the triangle was rotated 90 degrees counter clockwise which is choice "c". So, draw a new triangle R"S"T" by rotating triangle RST 90 degrees counter clockwise. You'll see that point R" is at (1,-4), S" at (1,-1), and T" at (2,-4). All three of those points are located 2 units below the points R' S' T'. So you need to translate the triangle 2 units higher, which is choice b.
2. This is the exact same question with the exact same choices as #1 above. So the answer is exactly the same.</span>
<h3>
Answer: B) Hampton apartments</h3>
Divide the number of one-bedroom apartments over the number of two-bedroom apartments.
For Centerville, we have 42/50 = 0.84
For Hampton, we have 27/41 = 0.659 approximately
Hampton's ratio is the smaller of the two ratios.
Answer: 54-7n
Step-by-step explanation:
When we talk about mathematical language, the <u>difference </u>between two numbers, quantities or terms is the <u>substraction operation.</u>
For example, the <u>difference</u> between a and b is:
a-b
On the other hand, if we read a numer c <u>times</u> a number n, this means both numbers are multiplied.
For example:
c <u>times</u> n is:
(c)(n)
So, according to the explained above, “the difference of fifty-four and seven times a number n” is:
54-7n
<h3>
Answer: Choice D) </h3>
y + 2 = -(x - 4)
============================================
Explanation:
The slope of this line is -1 because each time we move down 2 units, we move to the right 2 units. So slope = rise/run = -2/2 = -1
The slope formula says the same thing more or less. Let's pick the two points (0,2) and (2,0) to find the slope through them
m = (y2-y1)/(x2 - x1)
m = (0-2)/(2-0)
m = -2/2
m = -1
-------------
Using that slope and a point on the line, we can form the equation. We can pick any point really as long as it's on the line. However, to have it match with the answer choices, we'll have to pick the point (4,-2)
Turn to point slope form
y - y1 = m(x - x1)
y - y1 = -1(x - x1) ... plug in the slope
y - (-2) = -(x - 4) ... plug in the point (x1,y1) = (4, -2)
y + 2 = -(x - 4)
