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2 years ago

Find the equation of the line that

Mathematics

2 answers:

sladkih [1.3K]2 years ago

7 0

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$\blue{\textsf{\textbf{Question:-}}}$

What is the equation of the line parallel to y=-5x-9 and contains the point (-3, -3)?

$\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}$

First of all, parallel lines have the exact same slope.

So we know the slope of the line:- -5.

(enter -5, It's the number that belongs in the green box)

How about the y-intercept?

Well, since we're given the slope and a point that the line intersects, we can write the line's equation in point-slope form:-

y-y1=m(x-x1)

y-(-3)=-5(x-(-3)

y+3=-5(x+3)

y+3=-5x-15

y=-5x-18

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Blababa [14]2 years ago

6 0

Answer:

Step-by-step explanation:

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.hoi I need a lil help

mihalych1998 [28]

Answer:

Step-by-step explanation:

4+5=9 and 1/2+1/2 =1 so 9+1=10

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3 years ago

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Suppose you deposit $1,200 into a bank account. The account earns yearly simple interest at a rate of 1 3/4%. How many years wil

igor_vitrenko [27]

Answer:

6 years

Step-by-step explanation:

1.75% of 1,200 = 21

so 1 year= 21

21+21= 42 2 years

42+21=63 3 years

63+21=84 4 years

81+21=105 5 years

105+21=126 6 years

Or you can do

21x6=126 so it has to equal 6 years

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2 years ago

Please explain how to do this well I really need help

astraxan [27]

Simply the radical expression

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3 years ago

8 1/2 x 4/11 please solve

irakobra [83]

Answer:

3 1/11

Step-by-step explanation:

8 1/2 x 4/11

Change to an improper fraction

(2*8+1)/2 * 4/11

17/2 * 4/11

68 /22

Divide the top and bottom by 2

34/11

Change back to a mixed number

11 goes into 34 3 times with 1 left over

3 1/11

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3 years ago

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If anybody answers these questions I will get them brainliest and if somebody else verifies that it is the correct answer I can

valina [46]

Part (a)

<h3>Answer: x^3 + 12x^2 + 47x + 60</h3>

--------------------------

Work Shown:

Let's say we have

L = length = x+5
W = width = x+4
H = height = x+3

To find the volume of the block, we multiply the length width and height.

So,

volume = (length)*(width)*(height)

V = L*W*H

V = LW*(x+3) .... replace H with (x+3)

V = LW*x + LW*3 .... distribute

V = Lx*(W) + 3L*(W)

V = Lx(x+4) + 3L(x+4) .... replace W with x+4

V = Lx^2 + 4Lx + 3Lx + 12L .... distribute

V = Lx^2 + 7Lx + 12L

V = x^2*(L) + 7x*(L) + 12*(L)

V = x^2*(x+5) + 7x*(x+5) + 12*(x+5) .... replace L with x+5

V = x^3 + 5x^2 + 7x^2 + 35x + 12x + 60 .... distribute

V = x^3 + 12x^2 + 47x + 60

x^3 + 12x^2 + 47x + 60 is the polynomial in standard form that represents the volume of the block.

=======================================================

Part (b)

<h3>Answer: 336 cubic feet</h3>

--------------------------

Work Shown:

We can plug x = 3 into the polynomial we found

V = x^3 + 12x^2 + 47x + 60

V = (3)^3 + 12(3)^2 + 47(3) + 60

V = 27 + 12(9) + 47(3) + 60

V = 27 + 108 + 141 + 60

V = 336

Or we could find the volume like this

V = L*W*H

V = (x+5)*(x+4)*(x+3)

V = (3+5)*(3+4)*(3+3)

V = (8)*(7)*(6)

V = 336

Either way, we get the same volume of 336 cubic feet.

3 0

3 years ago