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Rainbow [258]
3 years ago
15

What is the equation in point−slope form of the line passing through (0, 6) and (1, 3)? (5 points)

Mathematics
1 answer:
Andrews [41]3 years ago
6 0

The slope-point formula:

y-y_1=m(x-x_1)

m=\dfrac{y_2-y_1}{x_2-x_1}

We have (0, 6) and (1, 3),

Substitute:

m=\dfrac{3-6}{1-0}=\dfrac{-3}{1}=-3\\\\y-6=-3(x-0)

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Consider th following formula used to find a cone v= 3.14r^2 h/3
lys-0071 [83]
Here's the volume formula (and the area formula) typed a little neater than that.
(I'm guessing you forgot to type in your question?)

7 0
3 years ago
The question is in the picture.
dangina [55]
<h2><u>Part A:</u></h2>

Let's denote no of seats in first row with r1 , second row with r2.....and so on.

r1=5

Since next row will have 10 additional row each time when we move to next row,

So,

r2=5+10=15

r3=15+10=25

<u>Using the terms r1,r2 and r3 , we can find explicit formula</u>

r1=5=5+0=5+0×10=5+(1-1)×10

r2=15=5+10=5+(2-1)×10

r3=25=5+20=5+(3-1)×10

<u>So for nth row,</u>

rn=5+(n-1)×10

Since 5=r1 and 10=common difference (d)

rn=r1+(n-1)d

Since 'a' is a convention term for 1st term,

<h3><u>⇒</u><u>rn=a+(n-1)d</u></h3>

which is an explicit formula to find no of seats in any given row.

<h2><u>Part B:</u></h2>

Using above explicit formula, we can calculate no of seats in 7th row,

r7=5+(7-1)×10

r7=5+(7-1)×10 =5+6×10

r7=5+(7-1)×10 =5+6×10 =65

which is the no of seats in 7th row.

8 0
3 years ago
Simplify<br> x^2(y^3)^4/xy^5=x^a•y^b
givi [52]

Answer: a = 1 b = 7

Step-by-step explanation:

x^2(y^3)^4/x.y^5 = x^a.y^b

x^2(y^12) = x^a.y^b

(x^2).(y^12)/x^y^5 = x.y^7

x.y^7= x^a . y^b -> <u>x^1.y^7</u>

7 0
3 years ago
If you add two negative integers, what will the sign on the sum be? Explain.
KengaRu [80]

Answer:

Negative

Step-by-step explanation:

If both are negative, they can't grow when you add them. If I owe someone 3 dollars, then I owe them 3 more, I don't owe them 0, I owe them 6. The equation would be My amount of money-3-3

4 0
3 years ago
Find the area of polygon ABCDE with vertices A(0, 0), B(0, 4), C(8, 8), D(14, 0), and F(9, −2).
sammy [17]
It is C 108 square units
7 0
3 years ago
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