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nata0808 [166]
3 years ago
9

What is the equation of the line, in slope-intercept form, that passes through (4.2) and (-2, -3)?

Mathematics
1 answer:
Keith_Richards [23]3 years ago
3 0

Answer:

y = 5/6x + -8

Step-by-step explanation:

you first need to find the gradient using the formula m = (y2 - y1)/(x2 - x1)

the gradient would be 5/6.

the slope intercept form equation is y = mx + c. so by taking one of the points, 2 = 5/6(4) + c

12 = 5(4) + c

12 = 20 + c

c = 12 - 20

c = -8

hence, y = 5/4x + -8

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Consider this sphere side the inder
Serhud [2]

Answer:a,c,e

Step-by-step explanation:

5 0
3 years ago
I dont understand can someone help?
nalin [4]
First you need to find area of square which is side x side which is 8x8 which is 64. Then you find the side of the triangle which is 14-8 which is 6 then you need to find the height of the dotted line I’m pretty sure there’s a formula but it looks like it’s 8 because it looks like a square so then the formula of a triangle is base times height divided by two so the base is 6 and height is 8 so 6x8 which is 48 and divided by two is 24 then you add the area of the triangle and the area of the square which is 64 so 64+24 which is 88 so I’m pretty sure the area is 88 then just put whatever units after :)
3 0
2 years ago
What is the 9th term of the geometric sequence 5 -25 125
OLga [1]

Answer:

Step-by-step explanation:

hello :

the n-ieme term is : An=A1×r^(n-1)

A1 the first term       r : the common ratio

in this exercice : A1 =5       r = 125/-25=-25/5 = - 5         n = 9

A9=5×(-5)^(9-1) = 5×5^8 = 5^9     because :   ((-5)^(8)= 5^8)

7 0
3 years ago
there are 120 seats in the balcony of theatre .if this 1/5 of the total seats, what's the total number of seats in the theater​
natka813 [3]

Answer:

600 seats

Step-by-step explanation:

We know there is 120 seats on a balcony and that is   \frac{1}{5}   of the total seats, we want to find the total number of seats so,

120 seats    =      \frac{1}{5}

We know that a whole fraction sums to 1 so for example   \frac{1}{5} +\frac{4}{5} =\frac{5}{5} =1

120 seats    =      \frac{1}{5}

Multiply  both sides to make it a whole fraction

600 seats =     \frac{5}{5} =1

So if there is 120 seats and that number is only    \frac{1}{5}    of the total number of seats then the total number of seats is 600

3 0
3 years ago
Read 2 more answers
Find the smallest integer n for an O(xn) estimate of order of the function f(x)
alexdok [17]

Answer with explanation:

f(x)=\frac{(x^3+x^2+5)(x^4-3x^2)}{(2x^2+2x-3)(4x^2+7)}\\\\f(x)=\frac{x^3\times (x^4-3x^2)+x^2 \times (x^4-3x^2)+5 \times (x^4-3x^2)}{2x^2\times (4x^2+7)+2x(4x^2+7)-3\times (4x^2+7)}\\\\f(x)=\frac{x^7-3x^5+x^6-3x^4+5x^4-15x^2}{8x^4+14x^2+8x^3+14 x-12x^2-21}\\\\f(x)=\frac{x^7+x^6-3x^5+2x^4-15x^2}{8x^4+8x^3+2x^2+14 x-21}

The largest degree of numerator is 7 , while the largest degree of denominator is 4.So, as we know

 \frac{x^a}{x^b}=x^{a-b}\\\\\frac{x^7}{x^4}=x^{7-4}\\\\=x^3

→So, order of the function is the highest degree in the function raised to power.Highest degree is 3,when you will reduce the function in Expression form.

So, Degree=3

Order=1

6 0
3 years ago
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