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3 years ago

What is the equation of the line that passes through the point (3,2) and has a slope of -5/3?

1 answer:

8 0

Answer= Y=-5/3x+7

First substitute (3,2) into the equation y=-5/3x +b which gives you 2=-5/3x+b. Solve for b, then put the equation into slope-intercept form.

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The volume of 10,000drops of a liquid is 10 fluid ounces. what is the volume of 100 drops.

KIM [24]

We can write a proportion for this problem

10,000drops of a liquid is 10 fluid ounces

100 drops of a liquid is x fluid ounces

x=100*10/10000 =1/10 = 0.1 fluid ounces

8 0

3 years ago

Consider the equation below.

Korvikt [17]

Answer:

Equation in square form:

$y=3(x+5)^2-4$

Extreme value:

$(h,k)=(-5,-4)$

Step-by-step explanation:

We are given

$y=3x^2+30x+71$

we can complete square

$y=3(x^2+10x)+71$

we can use formula

$a^2+2ab+b^2=(a+b)^2$

$y=3(x^2+2\times x\times 5)+71$

now, we can add and subtract 5^2

$y=3(x^2+2\times x\times 5+5^2-5^2)+71$

$y=3(x^2+2\times x\times 5+5^2)-3\times 5^2+71$

$y=3(x+5)^2-75+71$

So, we get equation as

$y=3(x+5)^2-4$

Extreme values:

we know that this parabola

and vertex of parabola always at extreme values

so, we can compare it with

$y=a(x-h)^2+k$

where

vertex=(h,k)

now, we can compare and find h and k

$y=3(x+5)^2-4$

we get

h=-5

k=-4

so, extreme value of this equation is

$(h,k)=(-5,-4)$

6 0

3 years ago

Read 2 more answers

Mr. Burn's class is taking a field trip to the planetarium. The trip will cost $27 for each

marysya [2.9K]

Answer:

$486

Step-by-step explanation:

all you do is multiply 27 and 18. i feel like using compatible numbers bc the numbers you have will give you your answer.

7 0

3 years ago

Read 2 more answers

Please help me with math please and explain and thanks

lyudmila [28]

Answer:

Step-by-step explanation:

there are 4 44s in the data set and that is the most repeated so uts the mode

7 0

2 years ago

Read 2 more answers

The perimeter of a rectangular playground can be no greater than 120 meters. The width of the playground cannot exceed 22 meters

Juli2301 [7.4K]

Answer:

because The perimeter of a rectangular playground can be no greater than 120 meters, The width of the playground cannot exceed 22 meters

=> the length of the playground cannot exceed: (120/2)-22= 38(meters)

Step-by-step explanation:

8 0

2 years ago