Answer:
- y = -3/5x - 6 or 3x + 5y = -30
Step-by-step explanation:
<u>Given line:</u>
<u>Converting into slope-intercept form:</u>
- 3x + 5y = 15
- 5y = - 3x + 15
- y = -3/5x + 3
<u>Parallel lines have the same slope, so the parallel line will be:</u>
<u>Using given point (-5, -3) finding the y-intercept:</u>
- -3 = -3/5(-5) + b
- -3 = 3 + b
- b = -3 - 3
- b = -6
<u>So the line is:</u>
<u>Or converted into standard form:</u>
- y = - 3/5x - 6
- 3/5x + y = -6
- 3x + 5y = -30
Answer:
a = x-intercept(s): (
3
,
0
)
y-intercept(s):
(
0
,
6
)
B = x-intercept(s):
(
10
,
0
)
y-intercept(s):
(
0
,
4
)
Step-by-step explanation:
#
Answer:
The pattern form is 8,15,34,71 which follows the rule 
Step-by-step explanation:
Given : Rule
To find : Create a number pattern that follows the rule. Use at least three terms in the pattern ?
Solution :
Rule
Put n=1,
Put n=2,
Put n=3,
Put n=4,
The pattern form is 8,15,34,71 which follows the rule
Your drawing was much more helpful and informative than your statements in words and symbols.
I see that you want to evaluate (3/2)^2 times (8/15)^2.
You could combine these two expressions into one, as follows:
3*8
( ----------- )^2
2*15
This, in turn, can be simplified by reduction:
( 4/5 )^2. Expanded, this result gives us 16/25.
Next problem
----------------------------
( 9/4 )^4 * ( 4/3 )^3
9^4 4^3
First, focus on ( ------- ) * ( ----------- )
4^4 3^3
Now reduce 4^3 / 4^4: The end result is 1/4.
Reduce 9^4 / 3^3. To do this, rewrite that 9 as (3^2), resulting in:
3^8 / 3^3. The end result is 3^5.
Putting this expression back together, we get 3^5 / 4 (answer)
With inverse functions you just swap 'x' and 'y' and solve for 'y'.
Swap 'x' and 'y':
Add 7 to both sides:
Take the square root of both sides:
