Answer:
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Step-by-step explanation:
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Find slope of line A:
Move into slope-intercept form y = mx+b
<span>5x + 8y = -9
8y = -5x - 9
y = (-5/8)x - 9/8
The slope of line A is -5/8.
If </span><span>Line B is perpendicular to line A, then
slope Line B = negative reciprocal of slope Line A</span>
<span>slope Line B = 8/5
So like B has the equation
y = (8/5)x + b
If it passes through (10,10), we know that when x = 10, y = 10. Use those values to solve for b:
</span>
<span>y = (8/5)x + b
10 = (8/5)·10 + b</span>
<span>10 = (8)·2 + b
10 = 16 + b
b = -6
So line B has equation </span>
<span>y = (8/5)x - 6
m = 8/5 and b = -6
so
m + b = 8/5 - 6 = 8/5 - 30/5 = -22/5
So m+b = -22/5 or -4.4 in decimal form
</span>
Answer:
14
Divide
12 and 1 over 412
1
4
÷ 7 over 8
7
8
= 392 over 28
392
28
Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
12 and 1 over 412
1
4
= ( 12 × 4 ) over 4
12 × 4
4
+ 1 over 4
1
4
= ( 48 + 1 ) over 4
48 + 1
4
= 49 over 4
49
4
Step 1 of 2: Divide, sub-step b: Divide.
Divide
49 over 4
49
4
÷ 7 over 8
7
8
= 49 over 4
49
4
× 8 over 7
8
7
= ( 49 × 8 ) over ( 4 × 7 )
49 × 8
4 × 7
= 392 over 28
392
28
To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.Divide
12 and 1 over 412
1
4
÷ 7 over 8
7
8
= 392 over 28
392
28
Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
12 and 1 over 412
1
4
= ( 12 × 4 ) over 4
12 × 4
4
+ 1 over 4
1
4
= ( 48 + 1 ) over 4
48 + 1
4
= 49 over 4
49
4
Step 1 of 2: Divide, sub-step b: Divide.
Divide
49 over 4
49
4
÷ 7 over 8
7
8
= 49 over 4
49
4
× 8 over 7
8
7
= ( 49 × 8 ) over ( 4 × 7 )
49 × 8
4 × 7
= 392 over 28
392
28
To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.
Okay so 3x + 3 - 244 = -238 so I think you would put -238 on the number line and then fill in the line to the negative spot I hope that helps
Answer:
- Decay rate, r = 0.014
- Initial Amount =120,000
- P(10)=104,220
Step-by-step explanation:
The exponential function for growth/decay is given as:
In this problem:
The city's initial population is 120,000 and it decreases by 1.4% per year.
- Since the population decreases, it is a Decay Problem.
- Decay rate, r=1.4% =0.014
- Initial Amount =120,000
Therefore, the function is:
When t=10 years
