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3 years ago

What is the equation of the line x - 3 y equals 18 in slope intercept form

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

8 0

X-3y=18
-x -x
-3y= -x+18
Divide -3 from both sides
Y=1/3x-6

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Slater begins saving for college tuition. He invests $1000 in an account that pays 2.5% simple interest. How many years before h

Brrunno [24]

The formula is Interest = principle times rate times time in years.
I=prt

p=1000
r= 0.025
t=x

To find the amount of interest that is earned in a specific time frame, subtract the final amount of money by the principal. 1500-1000=500.

500 = 1000(0.025)x
500 = 25x
x= 20 years

6 0

3 years ago

The hours of daylight, y, in Utica in days x from January 1, 2013 can be modeled by the equation y = 2.89sin(0.0145x-1.40) + 10.

Pie

Answer:

9.3 hours

Step-by-step explanation:

Given

$y = 2.89\sin(0.0145x-1.40) + 10.99.$

Required

Hours of sunlight on Feb 21, 2013

First, calculate the number of days from Jan 1, 2013 to Feb 21, 2013

$days = 52$

So:

$x = 52$

So, we have:

$y = 2.89\sin(0.0145x-1.40) + 10.99.$

$y = 2.89\sin(0.0145*52-1.40) + 10.99.$

$y = 2.89\sin(0.754-1.40) + 10.99.$

$y = 2.89\sin(-0.646) + 10.99.$

$y = 2.89*-0.6020 + 10.99.$

$y = -1.740 + 10.99.$

$y = 9.25$

$y = 9.3$ --- approximated

8 0

2 years ago

Please help me!!! Will give 100 points. Will give BRAINILEST

Oksana_A [137]

Step-by-step explanation:

The shape of the new pizza must meet the conditions:

Be an irregular polygon (different sides and/or angles).
Have at least five sides.
Have the approximately the same area as a 14" diameter circle.
Fit in a 14⅛" × 14⅛" square.
Be divisible into 8-12 equal pieces.

For simplicity, I will choose a polygon with 5 sides (a pentagon), and I will use 2 right angles (a "house" shape).

Split the pentagon into a rectangle on bottom and triangle on top. If we cut the rectangle into 8 pieces like a regular pizza, and the triangle in half, we get 10 triangles.

Now we just need to figure out the dimensions. The area of a 14" circular pizza is:

A = πr²

A = π (7 in)²

A ≈ 154 in²

That means the area of each triangle slice needs to be 15.4 in². If we make the total width of the pentagon 14", then the width of each triangle is 7", and the height of each triangle is:

A = ½ bh

15.4 in² = ½ (7 in) h

h = 4.4 in

Which makes the total height of the pentagon 3h = 13.2 in.

So, our 13.2" × 14" pentagon has at least 5 sides, is irregular, has the same area as a 14" diameter circle, fits in a 14⅛" × 14⅛" square, and can be divided into 8-12 equal pieces.

Of course, there are many possible solutions. This is just one way.