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2 years ago

Enlarge the triangle by scale factor of -1/3

Mathematics

1 answer:

Bess [88]2 years ago

4 0

The attached image represents the triangle after it has been enlarged

<h3>How to enlarge the triangle?</h3>

The given parameters are:

Scale factor, k = -1/3
Center, (a,b) = (-1,2)

From the graph, the coordinates of the triangle are:

A = (-4,2)

B = (-4,-4)

C = (-1,-4)

The rule of dilation is calculated using:

$(x,y) \to (k(x - a) + a, k(y - b) + b)$

So, we have:

$A' = (-\frac 13(-4 +1) - 1, -\frac 13(2 - 2) + 2)$

A' = (0, 2)

$B' = (-\frac 13(-4 +1) - 1, -\frac 13(-4 - 2) + 2)$

B' = (0, 4)

$C' = (-\frac 13(-1 +1) - 1, -\frac 13(-4 - 2) + 2)$

C' = (-1, 4)

See attachment for the image of the triangle, after it has been enlarged

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Fernando invested money in a 5-yr CD (certificate of deposit) that returned the equivalent of 3.3% simple interest. He invested

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Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.

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Since Fernando invested money in a 5-yr CD (certificate of deposit) that returned the equivalent of 3.3% simple interest, and the invested $ 1000 less in a 18-month CD that had a 2% simple interest return, if the total amount of interest from these investments was $ 945.00, to determine how much was invested in each CD the following calculation must be performed:

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3 years ago

The local softball field has a lemonade stand. The graph shows the amount of money in the cash register of the lemonade stand.

Alexxandr [17]

<h3>The y-intercept</h3>

The y-intercept is $35.

The y-intercept of a straight line graph is the point at which the graph intercepts the y-axis.

So, from the graph, the y-intercept is $35.

<h3>The meaning of y-coordinate</h3>

The y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.

Since the y-intercept represents the point at which the graph intercepts the y-axis and then the x- value is zero, the y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.

The y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.

<h3>The slope</h3>

The slope is 2.5

Since we are given two points on the line, the slope m of a line given two points (x₁, y₁) and (x₂, y₂) is m = (y₂ - y₁)/(x₂ - x₁).

From the graph, (x₁, y₁) = (3, 42.5) and (x₂, y₂) = (9, 57.5)

So, substituting these values into the equation for m, we have

m = (y₂ - y₁)/(x₂ - x₁)

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The slope is 2.5

<h3>Meaning of the slope</h3>

The slope represents the rate at which the lemonade is sold

Since the y-axis represent the amount of money in the cash register and the x-axis represents the number of cups of lemonade sold, the slope represents the rate at which the lemonade is sold.

The slope represents the rate at which the lemonade is sold

Learn more about straight-line graphs here:

brainly.com/question/14808962

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