Answer:
1. Quadrant 2
2. Quadrant 1
3. Quadrant 2
4. Quadrant 4
5. Quadrant 4
6. Quadrant 2
7. Quadrant 2
8. Quadrant 3
Step-by-step explanation:
For this problem, we just need to follow the pattern of positive and negatives associated with each quadrant.
The first quadrant (+, +)
The second quadrant (-, +)
The third quadrant (-, -)
The fourth quadrant (+, -)
Using these patterns we can state what order pair correlates to which quadrant.
(-2.5, 2.1) --> Q2
(1/2, 3/4) --> Q1
(-10, 13) --> Q2
(2.5, -5.5) --> Q4
(9, -10) --> Q4
(-12, 3.4) --> Q2
(-5/8, 5) --> Q2
(-6.4, -6.3) --> Q3
Cheers.
As for the domain, the only restriction comes from the logarithm. The argument of a logarith must be strictly positive, so we have
As for the range, we have:
- The range of
are all real numbers - If we change to
we're translating the function horizontally, so the range remains the same - If we change to
we're stretching the function horizontally, so the range doesn't change - If we change to
we're translating the function 1 unit up, but the range is already all the real numbers, so it doesn't change.
Step-by-step explanation:
Distance between 2 towns 360 miles showed length 3 inches
1800 miles = ? inches
360 miles = 3 inches
1 miles = 3/360 inches
1800 miles = 3/360 × 1800
= 15 inches
Answer: length = 8cm
Width = 4cm
Step-by-step explanation:
Let the width of the rectangle be represented by x.
Since the length of a rectangle is twice as long as the width of the rectangle, then the length will be: = 2 × x = 2x
Note that, Area of a rectangle = Length × Width
Therefore,
2x × x = 32
2x² = 32
Divide both side by 2
2x²/2 = 32/2
x² = 16
x = ✓16
x = 4
Therefore, width = 4cm
Since length = 2x
Length = 2 × 4cm = 8cm
Check: length × width = Area
8cm × 4cm = 32cm²
-- You have two angles.
-- They're complementary . . . they add up to 90 degrees.
-- One is 4 times as big as the other one.
___________________________________________
-- The smaller angle has 1 share of the 90 degrees.
-- The bigger angle has 4 shares of the 90 degrees.
-- (The smaller one is 1/4 the size of the bigger one.
The bigger one is 4 times the size of the smaller one.)
-- When you add them together, you get 5 shares, totaling 90 degrees.
-- What's the size of each share ? It's 90/5 = 18 degrees.
-- The smaller angle gets one share . . . 18 degrees.
-- The bigger angle gets 4 shares. (4 x 18) = 72 degrees.
____________________________________
Check:
-- Is the small one 1/4 the size of the big one ? 18/72 = 1/4 Yes.
-- Are they complementary ? Do they add up to 90 degrees ?
18 + 72 = 90 Yes.
yay !
