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Afina-wow [57]
3 years ago
15

What is the equation of the following line? Be sure to scroll down first to see

Mathematics
2 answers:
PolarNik [594]3 years ago
6 0

Answer:

y=-3x

Step-by-step explanation:

we know that the equation of the line is:

y=mx+b

m= slope= (y2-y1)/(x2-x1)

we have two points giver from the graph:

point 1: (0,0)

point 2: (3,-9)

we to find the slope:

m=(-9-0)/(3-0)

m=-3/3

m=-3

we need to find "b"

using the point (0,0)

we have

0=0x+b

so we have b=0

finally we have

y=-3x+0

y =-3x

CaHeK987 [17]3 years ago
3 0

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, - 9) ← 2 points on the line

m = \frac{-9-0}{3-0} = \frac{-9}{3} = - 3

Since the line passes through the origin then c = 0

y = - 3x + 0, which is simply

y = - 3x → B

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Answer:

HI

Step-by-step explanation:

8 0
2 years ago
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Carmen saved 592 pennies. Her sister saved 128 pennies. Together, they put 250 pennies in wrappers and took them to the bank. Wh
Ne4ueva [31]

Answer:

500 pennies

Step-by-step explanation:

Given that

Carmen saved 592 pennies.

Her sister saved 128 pennies.

Together, they put 250 pennies in wrappers and took them to the bank

We need to find out the total number of pennies Carmen and her sister have left

So,

= 592 pennies + 128 pennies  - 250 pennies

= 470 pennies

= 500 pennies

7 0
3 years ago
Express the complex number in trigonometric form.<br> -6 + 6 sqrt3 i
11Alexandr11 [23.1K]

Answer:

The trigonometric form of the complex number is 12(cos 120° + i sin 120°)

Step-by-step explanation:

* Lets revise the complex number in Cartesian form and polar form

- The complex number in the Cartesian form is a + bi

-The complex number in the polar form is r(cosФ + i sinФ)

* Lets revise how we can find one from the other

- r² = a² + b²

- tanФ = b/a

* Now lets solve the problem

∵ z = -6 + i 6√3

∴ a = -6 and b = 6√3

∵ r² = a² + b²

∴ r² = (-6)² + (6√3)² = 36 + 108 = 144

∴ r = √144 = 12

∵ tan Ф° = b/a

∴ tan Ф = 6√3/-6 = -√3

∵ The x-coordinate of the point is negative

∵ The y-coordinate of the point is positive

∴ The point lies on the 2nd quadrant

* The measure of the angle in the 2nd quadrant is 180 - α, where

  α is an acute angle

∵ tan α = √3

∴ α = tan^-1 √3 = 60°

∴ Ф = 180° - 60° = 120°

∴ z = 12(cos 120° + i sin 120°)

* The trigonometric form of the complex number is

  12(cos 120° + i sin 120°)

 

4 0
3 years ago
Read 2 more answers
Harold wants to make a tomato patch. It will have 7 long rows of plants, each with 8 plants in the row, and 3 short rows of plan
xz_007 [3.2K]

Answer:

Pt. 1: D

Pt. 2: what are the options for part 2?

Step-by-step explanation:

8 0
3 years ago
An amount of $23,000 is borrowed for 11 years at 6.75% interest, compounded annually. If the loan is paid in full at the end of
Pavel [41]

Answer:

Given that,

An amount of $23,000 is borrowed for 11 years at 6.75% interest, compounded annually.

To find the Amount paid back after 11 years.

Explanation:

we know that,

The formula to find the,

Amount after n years of interest rate r% compounded annually is,

A=P(1+\frac{r}{100})^n

where P is the initial amount.

Here, we have that,

P=$23,000

r=6.75

n=11

Substitute the values we get,

A=23000(1+\frac{6.75}{100})^{11}

Solving this we get,

A=23000(1+0.0675)^{11}A=23000(1.0675)^{11}A=23000(2.05138)A=47181.805

Round to the nearest dollar.

A=47181.805\approx47182

Answer is: Amount paid back is $47182 after 11 years

7 0
1 year ago
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