Answer:
5 units
Step-by-step explanation:
±√(- 2 - 1)^2 + (- 1 - 3)^2 = ±5 (rej - 5 since distance > 0)
Apply distance formula
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Answer: (v-14) (v+4)
Step-by-step explanation: find something that multiplies to -56 but adds/subtracts to 10. I got -14 and 4. Those are your factors.
The function that models Mason's yearly income is 42,500(1 + 0.035)^x.
Mason's income after 5 years would be $48,084.85.
<h3>What would be Mason's income after 5 years?</h3>
The function that models Mason's income is an exponential function that has the form:
p(1 + r)^x
Where:
- r = percentage increase
- x = number of years
- p = present income
42,500(1 + 0.035)^x
Income after 5 years: 42,500(1 + 0.025)^5 = $48,084.85
To learn more about exponential functions, please check: brainly.com/question/26331578
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Answer:
13 is the number.
Step-by-step explanation:
Given:
Twice the difference of a number and 9 equals 8.
Let the unknown number be 'x'.
Therefore, as per question:
The difference of 'x' and 9 = 
Twice the difference means 2 times the difference. So, we multiply 2 to the difference. Therefore,

Now, the above expression is equal to 8. So, we equate the above expression to 8. This gives,

Solving for 'x', we get:
Using distributive property of addition and distributing 2 inside the bracket. This gives,

Therefore, the unknown number is 13.
Now, we can verify our answer.

Therefore, the answer is correct.
Answer:
g = 36
Step-by-step explanation:
We have the equation
+ 7 =19
Subtract 7 from both sides:
= 19 - 7 = 12
= 12
Now, multiply by 3 to both sides: 3 ×
= 3 × 12
g = 36