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IRINA_888 [86]
2 years ago
7

Determine the slope of the line.

Mathematics
1 answer:
Akimi4 [234]2 years ago
7 0

Answer:

2

Step-by-step explanation:

→ Find 2 points from the line

( 0 , 6 ) and ( - 3 , 0 )

→ Find the change in y coordinates

0 - 6 = -6

→ Find the change in x coordinates

-3 - 0 = -3

→ Divide the 2 results

-6 ÷ -3 = 2

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terry opened a savings account in December with $132 and saved $27 each month beginning in January the value of terrys account i
liq [111]
Let S be the amount in a savings account. 
Let m be the number of months.

General equation
S = 132 + 27m

Specific question
July is the 7th month of the year including both January and July.
S = 132 + 7*27
S = 132 + 189
S = 321

Reasonableness?
Good question. You could estimate an answer.
Start with 150 dollars and say that you add 25 a month.
7 * 25 = 175
S = 150 + 175 = 325 All of this was done in my head. Since the exact answer obtained using the formula is 321, I think that's pretty reasonable using my estimate is a guide.
4 0
3 years ago
A small motorboat travels 12mph in still water. It takes 2 hours longer to travel 46 miles going upstream than it does going dow
Natasha_Volkova [10]

Using the relation between velocity, distance and time, it is found that the rate of the current is of 3.33 mph.

<h3>What is the relation between velocity, distance and time?</h3>

Velocity is distance divided by time, hence:

v = d/t

A small motorboat travels 12mph in still water. With the current, upstream, 46 miles are traveled in t hours, hence:

12 + r = 46/t

r = 46/t - 12

Downstream, the time is of t + 2 hours, hence:

12 - r = 46/(t + 2)

r = 12 - 46/(t + 2)

Hence, equaling the values for r:

46/t - 12 = 12 - 46/(t + 2)

46/t + 46/(t + 2) = 24

\frac{46t + 92 + 46t}{t(t + 2)} = 24

92t + 92 = 24t² + 48t

24t² - 44t - 92 = 0

Using a quadratic equation calculator, the solution is t = 3. Hence the rate is found as follows:

r = 46/t - 12 = 46/3 - 12 = 3.33 mph.

More can be learned about the relation between velocity, distance and time at brainly.com/question/28155966

#SPJ1

4 0
2 years ago
A right circular cylinder has a volume of 500 cu in. If the base has a radius of 4 in., what's the altitude of the cylinder? Rou
GarryVolchara [31]
<span>Cylinder Volume   =   </span><span>π <span>• r² • height
height = </span></span><span>Cylinder Volume / (PI * radius^2)
</span><span>height = 500 cubic inches / 3.14159 * 16
</span><span><span><span>height = 9.9471839432 </span> </span> </span>
<span>height = 9.95 (rounded)

</span>


4 0
3 years ago
Christy dove to a depth of 12 feet below the surface of the water. Write the depth as an integer
puteri [66]
-12 because surface is usually considered as "0" so 12 ft below the surface means -12.
6 0
3 years ago
8 ÷ (-2) = <br><br>-2 × (-3) =​
Vinvika [58]
Top answer is -4 because when you divide by a negative your answer will come out negative and bottom answer is 6 because when you multiply two negatives it turns into a positive
3 0
3 years ago
Read 2 more answers
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