nika is making cakes for a bake sale at school when she realizes she is running out of milk, each cake requires 1/4 cups of milk
1 answer:
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Answer:
The similar figures are shown in the attached drawing created with Microsoft Visio;
The similar figures are the rectangles in figures 2, and 5
Step-by-step explanation:
The given figure is a rectangle with dimensions of 3 yd. by 9 yd., therefore the length = 3 × The width of the rectangle
1) The 9 yd. by 18 yd. figure is a rectangle with the length = 2 × The width of the rectangle, therefore, the figure is not similar to the given rectangle
2) The 3 yd. by 1 yd. figure is a rectangle with the width = 3 × The length of the rectangle, therefore, the figure is similar to the given rectangle
3) The figure is a trapezium, while the given figure is a rectangle, therefore, they are not similar
4) The 6 yd. by 3 yd. figure is a rectangle with the width = 2 × The length of the rectangle, therefore, the figure is not similar to the given rectangle
5) The 6 yd. by 18 yd. figure is a rectangle with the length = 3 × The width of the rectangle, therefore, the figure is similar to the given rectangle
6) The 2 yd. by 8 yd. figure is a rectangle with the length = 4 × The width of the rectangle, therefore, the figure is not similar to the given rectangle
Answer:
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula . Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):
So, the slope of the line is .
2) Next, use the point-slope formula to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the
,
and
into the formula.
Since represents the slope, substitute
in its place. Since
and
represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form: