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3 years ago

The table shows the heights in inches of trees after they have been planted. Determine the equation which relates x and y.

1 answer:

8 0

To get the that relates x and y, we choose two points on the table and use the equation of a straight line as follows:

Recall that the equation of a staight line is obtained from the formula
$\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}$

Using the points (30, 18) and (36, 24), we have
$\frac{y-18}{x-30} = \frac{24-18}{36-30}= \frac{6}{6} =1 \\ \\ \Rightarrow y-18=x-30 \\ \\ \Rightarrow y=x-30+18 \\ \\ \Rightarrow y=x-12$

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In an isosceles triangle the base angles are congruent. True False

kherson [118]

This statement is false. Because the base angles of an isosceles triangle arecongruent, if one base angle is a right angle then both base angles must be rightangles. It is impossible to have a triangle with two right (90^\circ)angles.

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4 years ago

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Fill in the missing values to make the equations true.

MAVERICK [17]

The main formulas of log are:
log A + logB =log A*B
log A - logB =log A/B
log A ^p= p logA

so
log_4(7)+log_4(5)=log_4(7*5)=log_4(35)
log_8(11)-log_8(5)=log_8(11/5)
2log_9(3)=log_9(3)²

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3 years ago

Tyler works in retail where she earns $10.50 per hour. She also earns $15 for every new credit account she gets customers to ope

ollegr [7]

Part A. 10.50 and 15 are coefficients while h and c are variables.
Part B. Amount earned = 10.50(37) + 15(12) + 50 = 388.5 + 180 + 50 = $618.50

The coefficient will change

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3 years ago

If thewronskian w of f and g is 3e4t,and if f(t) = e2t,find g(t).

ehidna [41]

$W(f(x),g(x))=\begin{vmatrix}f(x)&g(x)\\f'(x)&g'(x)\end{vmatrix}=f(x)g'(x)-g(x)f'(x)$

We have $f(t)=e^{2t}\implies f'(t)=2e^{2t}$ , so

$W(f(t),g(t))=e^{2t}g'(t)-2e^{2t}g(t)=3e^{4t}$
$\implies e^{-2t}g'(t)-2e^{-2t}g(t)=3$
$\implies\dfrac{\mathrm d}{\mathrm dt}[e^{-2t}g(t)]=3$
$\implies e^{-2t}g(t)=\displaystyle\int3\,\mathrm dt$
$\implies e^{-2t}g(t)=3t+C$
$\implies g(t)=3te^{2t}+Ce^{2t}$

where $C$ is any arbitrary constant.

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4 years ago

What does 4 1/3 + 9 1/10 equal

julsineya [31]

$4 \frac{1}{3}$ + $9 \frac{1}{10}$ =

13 $\frac{13}{30}$ .

Exact Form :

403/30

Hope this helps,

Davinia.

6 0

3 years ago

Read 2 more answers