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3 years ago

Write an equation of the line with a slope of −3 and y-intercept of 0

Mathematics

2 answers:

Aleksandr-060686 [28]3 years ago

7 0

Answer:

y = -3x

Step-by-step explanation:

formula of slope is y=mx+b

you substitute the equation and you'll get

y = -3x

kipiarov [429]3 years ago

7 0

Answer:

y = -3x + 0

OR (choose one of them)

y = -3x

Step-by-step explanation:

slope intercept form: y = mx + b

slope M = -3

y-intercept B = 0

y = -3x + 0

y = -3x

(When you don't put nothing after the slope the eqaution understands that the y-intercept is at the middle which is zero, so if there is nothing after the slope there is an invisible 0. So there is an invisible ( + 0) you can choose to add the + 0 or not, either way it's correct the only place where it's mandatory is if the y-intercept is NOT 0, then you write it out because the person can't guess what the y-intercept is lol.)

Ace

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PLS PLS PLS HELP!!!! True or false: 6x² - 4y - 3x + 6x² + 8x= 12x² + 5x - 4y

tigry1 [53]

Answer:

True

Step-by-step explanation:

6x² - 4y - 3x + 6x² + 8x = 12x² + 5x - 4y

Regroup terms on left

6x² + 6x² - 3x + 8x - 4y = 12x² + 5x - 4y

Combine like terms

on left

12x² + 5x - 4y = 12x² + 5x - 4y True

7 0

2 years ago

A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones. Th

Olegator [25]

Answer:

(a) 74553

(b) 172120

Step-by-step explanation:

Given

$y = \frac{340110}{1 + 377e^{-0.259t}}$

Solving (a): 1998

Year 1998 means that:

$t =1998 - 1980$

$t =18$

So, we have:

$y = \frac{340110}{1 + 377e^{-0.259*18}}$

$y = \frac{340110}{1 + 377e^{-4.662}}$

$y = \frac{340110}{1 + 3.562}$

$y = \frac{340110}{4.562}$

$y = 74553$ --- approximated

Solving (b): 2003

Year 2003 means that:

$t = 2003 - 1980$

$t =23$

So, we have:

$y = \frac{340110}{1 + 377e^{-0.259*23}}$

$y = \frac{340110}{1 + 377e^{-5.957}}$

$y = \frac{340110}{1 + 0.976}$

$y = \frac{340110}{1.976}$

$y = 172120$ --- approximated

Solving (c): 2006

Year 2006 means that:

$t = 2006 - 1980$

$t =26$

So, we have:

$y = \frac{340110}{1 + 377e^{-0.259*26}}$

$y = \frac{340110}{1 + 377e^{-6.734}}$

$y = \frac{340110}{1 + 0.4485}$

$y = \frac{340110}{1.4485}$

$y = 234802$ --- approximated

3 0

2 years ago

Arielle is building the wooden framework for the roof of a house. she needs the angle created by the vertical and horizontal boa

Brums [2.3K]

Answer:

Option A is correct

it is an acute triangle. about 0.8 foot needs to be removed from the 20-foot board to create a right triangle.

Step-by-step explanation:

She want to build a right angle frame

Then to proof it is right angle, we will apply Pythagoras theorem to the sides of the rectangle,

Since the vertical height of board is 12ft

And, the horizontal length of board is 15ft.

Then the beam that support the two beams which also form the hypotenuse is give as

(beam support)²=(horizontal board)²+(vertical board)²

x²=12²+15²

x²=144+225

x²=369

x=√369

x=19.2ft

Then the beam support is 19.2ft

To get the angle of the beam support to the horizontal

Applying trigonometric

Tanθ=opposite / adjacent

Tanθ= vertical / horizontal

Tanθ=12/15

Tanθ=0.8

θ=arctan(0.8)

θ=36.7°

This shows that it is an acute triangle.

We are told that the support beam is 20ft but this is not true because the support beam is calculated to be 19.2ft,

So, 0.8ft must be removed from the 20ft support beam to create the right angle.

Then, the best option is a

we need to cut the support beam by approx 0.8 feet to make right angle between vertical board and horizontal board.

5 0

3 years ago

Simplyfy 5 x a x 5 x a

prohojiy [21]

Step-by-step explanation:

5×a×5×a

collect like terms

5×5×a×a

25×a^2

25a^2

8 0

2 years ago

A rectangle has length X +5 and width X +4 if the perimeter of the rectangle is 42 m what are the length and width of the rectan

Maru [420]

The perimeter is 2(length) + 2(width), so 2(x+5) + 2(x+4) = 42 m. In solving for x, you find 6. Plug 6 back into your length and width where x originally was, and you find your length to be 11m, and your width to be 10m. Hope this helps!

6 0

3 years ago

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