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3 years ago

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A student earns a flat rate of $30/day planting trees, plus $0.50/tree planted. Create a table of values and scatter plot showin

g the amount earned on days when 100,150,200,250 and 300 trees are planted.

1 answer:

Dima020 [189]3 years ago

3 0

Y = 0.50x + 30

trees planted : (x) 100 150 200 250 300
amount earned :(y) 80 105 130 155 180

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The line segment determined by A(4,7) and B(2, 9) along <0, –2>

Arlecino [84]

The endpoints of the image are $A'(x,y) = (4,5)$ and $B'(x,y) = (2,7)$ , respectively.

Note - The statement is incomplete. Complete description is shown below:

<em>The line segment determined by </em> $A(4,7)$ <em> and </em> $B(2,9)$ <em> is translated along </em> $\langle 0, -2\rangle$ <em>. Determine the endpoints of the image of the line segment AB.</em>

Vectorially speaking, the translation of a point is defined by this formula:

$P'(x,y) = P(x,y) + T(x,y)$ (1)

Where:

$P(x,y)$ - Original point.
$P'(x,y)$ - Resulting point.
$T(x,y)$ - Translation.

Now we proceed to calculate the endpoints of the image:

Point A

$A'(x,y) = A(x,y) + T(x,y)$

$A'(x,y) = (4,7) + (0,-2)$

$A'(x,y) = (4,5)$

Point B

$B'(x,y) = B(x,y) + T(x,y)$

$B'(x,y) = (2,9) + (0,-2)$

$B'(x,y) = (2,7)$

The endpoints of the image are $A'(x,y) = (4,5)$ and $B'(x,y) = (2,7)$ , respectively.

We kindly invite to see this question on translations: brainly.com/question/12463306

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2 years ago

Mon poured 100 kilograms of water into 10 kg of salt. He made ___ kilograms of ___% salt solution.

Marianna [84]

Mon had 100 kg of water, dumped it into 10kg of pure salt, namely 100% salt, what happened? well, it ended up with 100kg + 10kg, or 110kg of saline solution, off which 10kg are just salt.

so, if we take the 110kg to be the 100%, what is 10kg in percentage off of it? namely the salty part.

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
110&100\\
10&x
\end{array}\implies \cfrac{110}{10}=\cfrac{100}{x}\implies x=\cfrac{10\cdot 100}{110}$

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3 years ago

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El valor de x en la ecuación 1+4x-3=6x+8

AlekseyPX

Answer:

1 + 4x - 3 = 6x + 8

4x - 6x = 8 - 1 + 3

-2x = 10|:(-2)

x = -5

8 0

3 years ago

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Two pentagons are similar. the area of one of the Pentagon is 9 times that the other. determine the ratio of the length of the c

kolbaska11 [484]

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<u><em></em></u>

<em></em>

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2 years ago

The graph of the equation y=−5x+b goes through the point A(5, −2). Find the value of b.

TEA [102]

Answer:

23

Step-by-step explanation:

y+2=-5(x-5)

=-5x+25

subtract 2 from the left side and subtract it from the 25

y=-5x+23

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3 years ago

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