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3 years ago

This line has a slope of -3 and passes through the point (4, -10)

Mathematics

2 answers:

ANEK [815]3 years ago

8 0

Answer:

Step-by-step explanation:

y= mx+c

-10= -3 x 4 +c

-10= -12 +c

c= 2

then, y= -3x+2 would be the answer, if you were wanting the equation of the line.

atroni [7]3 years ago

3 0

Answer:

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

linear equation i.g point-slope form
PEMDAS

<h3>given:</h3>

slope or m=-3

(x1,y1)=(4,-10)

point-slope form of linear equation

<h3>let's solve:</h3>

point-slope form of a linear equation is

$first \: step \colon \: \\ substitute \: the \: given \: values \: of \: m \: and \: (x,y) = (4,- 10)$

<h3 />

$y - ( - 10) = - 3(x - (4))$

$last \: step \colon \: simplify$

$y + 10 = - 3(x - 4)$

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valkas [14]

Answer:

Step-by-step explanation:

for the first one is

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Range:

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the second one is

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3 years ago

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notka56 [123]

Answer:

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3 years ago

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Mamont248 [21]

The answer will be 5-11i

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3 years ago

a toy manufacturer has designed a new piece for use in building models. It is a cube with side lengths 7 mm and has a 3 mm in di

Ray Of Light [21]

Given that the cubical piece has side (s) 7 mm, and a cylindrical hole of diameter (d) as 3 mm.

The volume of the piece can be calculated as,

$\begin{gathered} \text{Volume of piece}=\text{ Volume of cube}-\text{ Volume of cylinder} \\ V=s^3-\frac{\pi}{4}d^2s \\ V=7^3-\frac{\pi}{4}(3)^2(7) \\ V=343-\frac{63\pi}{4} \\ V\approx293.52mm^3 \\ V\approx293.52\times10^{-9}\text{ }m^3 \end{gathered}$

It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,

$\begin{gathered} \text{Cost of 1 piece}=\text{ Cost per unit volume}\times\text{ Volume of 1 piece} \\ c=207\times293.52\times10^{-9} \\ c\approx60758.64\times10^{-9} \end{gathered}$

This is the cost (in dollars) for 1 piece.

Given that the manufacturer wants to produce 1,000,000 such pieces, so the total cost (TC) is calculated as,

$\begin{gathered} \text{Total Cost}=\text{ Cost per piece}\times\text{ No. of pieces} \\ TC=60758.64\times10^{-9}\times1,000,000 \\ TC=60758.64\times10^{-9}\times10^6 \\ TC=60758.64\times10^{-3} \\ TC=60.75864 \\ TC\approx60.75 \end{gathered}$

Thus, the total prototypes will cost around $60.75

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1 year ago

Heather buys a dog bowl priced at $8. If the sales tax is 10%, how much tax will Heather<br> pay?

Fantom [35]

Answer:

I think the answer is 2 dollars

Step-by-step explanation:

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3 years ago