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elena-s [515]
3 years ago
3

What is the distance between (5, –1) and (5, –4)? On a coordinate plane, points are at (5, negative 1) and (5, negative 4). 1 un

it 3 units 4 units 5 units
Mathematics
2 answers:
dimulka [17.4K]3 years ago
7 0

Usually, the formula to find the distance between points

A=(A_x, A_y),\quad B=(B_x, B_y)

is

d=\sqrt{(A_x-B_x)^2+(A_y-B_y)^2}

However, if two points share one coordinate, this formula simplifies a lot. In this case, for example, we have A_x=B_x. So, the formula becomes

d=\sqrt{(A_x-A_x)^2+(A_y-B_y)^2}=\sqrt{(A_y-B_y)^2}=|A_y-B_y|

And the absolute value of the difference of the y coordinates is

|-1-(-4)|=|-1+4|=3

So, the two points are 3 units apart.

emmasim [6.3K]3 years ago
4 0

Answer:

Your answer is B

Step-by-step explanation:

Hope this helps!!

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Step-by-step explanation:

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3 0
3 years ago
(6a + 5b + 4c) + (–6c + 15b) + (–8a)
kenny6666 [7]

Answer:

-2a + 20b - 2c

Step-by-step explanation:

(6a + 5b + 4c) + (–6c + 15b) + (–8a) = 6a + 5b + 4c - 6c + 15b - 8a

                                                          = 6a - 8a + 5b + 15b + 4c - 6c

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6 0
3 years ago
Determine the payment to amortize the debt. (Round your answer to the nearest cent.) Monthly payments on $170,000 at 4% for 25 y
Makovka662 [10]

Answer:

The payment would be $ 897.32.

Step-by-step explanation:

Since, the monthly payment of a loan is,

P=\frac{PV(r)}{1-(1+r)^{-n}}

Where, PV is the present value of the loan,

r is the monthly rate,

n is the total number of months,

Here,

PV = $170,000,

Annual rate = 4 % = 0.04

So, the monthly rate, r = \frac{0.04}{12}=\frac{1}{300}  ( 1 year = 12 months )

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So, the number of months, n = 12 × 25 = 300

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3 0
3 years ago
Find the Volume of the cylinder​
JulsSmile [24]

\huge{\underline{\underline{\sf{\red{Required\:Solution:-}}}}}

<h3>Volume of cylinder B is greater.</h3>

<h2>For Cylinder A :-</h2>

\displaystyle{\sf{\:\:\:\:\:\:\:\:r(radius)\:=\: \dfrac{7}{2}cm}}

\displaystyle{\sf{\:\:\:\:\:\:\:\:h(height)\:=\: 14cm}}

\displaystyle{\boxed{\sf{ Volume\:=\: \pi r^{2}h}}}

Substitute the values and simplify it

\displaystyle{\sf{\:\:\:\:\:\:\:\:\:\:= \dfrac{22}{7} \times \bigg(\frac{7}{2}^{2} \bigg)\times14}}

\large{\boxed{\sf{\orange{= 539 cm^{3}}}}}

<h2>For Cylinder B:-</h2>

\displaystyle{\sf{\:\:\:\:\:\:\:\:r(radius)\:=\: \dfrac{14}{2}cm=7cm}}

\displaystyle{\sf{\:\:\:\:\:\:\:\:h(height)\:=\: 7cm}}

\displaystyle{\boxed{\sf{ Volume\:=\: \pi r^{2}h}}}

Substitute the values and simplify it.

\displaystyle{\sf{\:\:\:\:\:\:\:\:\:\:= \dfrac{22}{7} \times (7^{2})\times7}}

\large{\boxed{\sf{\green{= 1078 cm^{3}}}}}

<h3>By actual calculation of volumes of both the cylinders, it is verified that the volumes of cylinder B is greater.</h3>

━━━━━━━━━━━━━━━━━━━━━━━━━━

8 0
3 years ago
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