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3 years ago

Use the point-slope equation to identify the slope and the coordinates of a point

Mathematics

2 answers:

ioda3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 4 = $\frac{1}{2}$ (x - 1) ← is in point- slope form

with slope m = $\frac{1}{2}$

and (a, b) = (1, 4 ) ← point on the line

bagirrra123 [75]3 years ago

7 0

Answer:

The slope of the line is m = 1/2

A point on the line is (1, 4)

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A sanitary landfill has available space of 16.2 ha at an average depth of 10 m. Seven hundred sixty-five (765) cubic meters of s

AfilCa [17]

Answer:

16.3 years

Step-by-step explanation:

1 ha = 10,000 m^2

The total capacity of the landfill is:

$C = 16.2*10,000*10 = 1,620,000\ m^3$

If waste is compacted to twice its delivered density, its volume is half of the delivered volume. Assuming that a year has 52 weeks, the volume of compacted solid waste dumped per year is:

$V=52*(5*0.5*765)\\V=99,450\ m^3$

The expected life of the landfill is given by its capacity divided by the yearly volume:

$L=\frac{C}{V}=\frac{1,620,000}{99,450} \\L=16,3\ years$

The landfill has an expected life of 16.3 years.

6 0

2 years ago

A tour director collected $258 for 13 tour packages tour packages a cost $18 into a package requires $22 how many of each tour p

Lena [83]

Answer:

Step-by-step explanation:

X+Y = 13

$18 + $22 = $258

18X+22Y=258

18X + 22(13 - X) = 258

18X + 286 - 22X = 258

286 - 4X = 258

-4X= 258 - 286

-4X = -28

X= 7

Y=6

7 of the X tour packages & 6 of the Y tour packages

4 0

2 years ago

How do i conjugate the binomial <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B6%20%2B%204%7D%20" id="TexFormula1" title=" \s

leonid [27]

We solve 6 + 4

6 + 4 = 10.

Square root of 10:

$\boldsymbol { \sqrt{6 + 4} = \sqrt{10} }\\
\\
\\
\boldsymbol { \sqrt{10}l\underline{ \ 3.16227766017}}\\
\boldsymbol { \underline{- 10}l \ 3.16227766017 \times 3.16227766017 }\\
\boldsymbol { \ \ \ 00}$

The square root of 10 is a periodic decimal (decimal that has infinite decimals, worth the redundancy)

What is that periodic decimal?

$\boxed{\textbf{3.16227766017} \boldsymbol{ \ \Leftarrow }\textbf{Square root of 10}}$

REGARDS!

3 0

3 years ago

7z - 3 + 2z = 33 What is 7?

Paladinen [302]

A constant because it a number

6 0

2 years ago

I need help with math please and thank you

Harrizon [31]

Answer:

I'm pretty sure its 1/4

Step-by-step explanation:

set up the composite function and evaluate

3 0

2 years ago