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3 years ago

Each small square on the grid is 1 ft squared.

Mathematics

1 answer:

Shalnov [3]3 years ago

3 0

Approximately 50ft because 5 put into the shape would be around 48 and it would be the best estimate of 50

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If the balance at the end of eight years on an investment of $630 that has been invested at a rate of 9% is $1,083.60, how much

Contact [7]

The interest is $453.60.

The total amount includes principal + interest. The principal was 630 and the total amount was 1083.60.
1083.60 - 630 = 453.60.

3 0

3 years ago

What is the equation of the line that passes through the point (3,6) and has a slope of -1/3

Mnenie [13.5K]

$\Large\texttt{Answer\::}$

Please consult the "Calculations" section of this ans .

$\Large\texttt{Calculations\::}$

The information we're given is below :

slope : -1/3
Point crossed by the line : (3, 6)

As per given information , we can do the following :

Write the line's equation in point slope form

Point - slope form looks like so :

y-y₁=m(x-x₁)

y-6=-1/3(x-3)

y-6=-1/3x+1

y=-1/3x+1+7

y=-1/3x+6

↑ $\small\textsc{EQUATION OF THE LINE}$

$\small\textit{hope\:helpful~}$

4 0

2 years ago

4(-4x - 3) > 36 with the steps

Sergeu [11.5K]

Answer:

x < -3

Step-by-step explanation:

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

−4x−3> 36/4

Divide 36 by 4 to get 9.

−4x−3>9

Add 3 to both sides.

−4x>9+3

Add 9 and 3 to get 12.

−4x>12

Divide both sides by −4. Since −4 is negative, the inequality direction is changed.

x< 12/-4

Divide 12 by −4 to get −3.

x < -3

5 0

2 years ago

Read 2 more answers

Which of the following is the equation for the graph shown?a. x^2/144+y^2/95=1b. x^2/144-y^2/95=1c. x^2/95+y^2/144=1d. x^2/95-y^

Andrews [41]

e follSOLUTION

Given the question in the image, the following are the solution steps to answer the question

STEP 1: Write the general equation of an ellipse

$\frac{\mleft(x-h\mright)^2}{a^2}+\frac{(y-h)^2}{b^2^{}}=1$

STEP 2: Identify the parameters

the length of the major axis is 2a

the length of the minor axis is 2b

$\begin{gathered} 2a=24,a=\frac{24}{2}=12 \\ 2b=20,b=\frac{20}{2}=10 \end{gathered}$

STEP 3: Get the equation of the ellipse

$\begin{gathered} By\text{ substitution,} \\ \frac{(x-h)^2}{a^2}+\frac{(y-h)^2}{b^2}=1 \\ \frac{(x-0)^2}{12^2}+\frac{(y-0)^2}{10^2}=1=\frac{x^2}{144}+\frac{y^2}{100}=1 \end{gathered}$

STEP 4: Pick the nearest equation from the options,

Hence, the equation of the ellipse in the image is given as:

$\frac{x^2}{144}+\frac{y^2}{95}=1$

OPTION A

8 0

1 year ago

Determining When a Function is increasing or Decreasing

Juliette [100K]

Answer:

Step-by-step explanation:

As x tends to infinity and - infinity, the function will tend to +infinity for both

7 0

3 years ago