Schoology û x
Unit 5 Test
5 of 7
Which system models the problem below?
During the pandemic, Siobhan began making art on commission. They offer paintings in two sizes: Small (4 inch by 6 inch) and Large (8
inch by 10 inch) Each small painting takes approximately 3 hours and Siobhan charges $35 per piece. Each large painting takes them 5.5
hours and they charge $65 per piece. In February, they created 14 paintings and made a total of $760. How many paintings of each size
did they create in February?
X+ y = 14
a
3x + 5.5y = 760
35x + 65y = 760
O
35x + 65y = 14
3x + 5.5y = 65
3x + 5.5y = 65
35x + 65y = 760
X + y = 14
1
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4
5
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7
Next

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

answer: a

step-by-step explanation: the answer is a due to the rule of symmetry; that a line of symmetry must divide a figure into 2 pieces that are the exact same, only reflected over a line of symmetry. b and c do not have lines of symmetry and would not divide the figure evenly, thus making the answer a.

cool? what is the actuall ?

step-by-step explanation: