Let
x----------------- > <span>the height of the smaller painting
y-----------------> </span>the height of the tall painting-----------> 6 ft<span>
the scale factor is-------------- > x/y
(x/y)=(4 in)/(1.5 ft)
x=y*[</span>(4 in)/(1.5 ft)]-------> 6*(4 in)/(1.5 ft)=16 in
<span>
the answer is x=16 in
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Answer:
You could resell it for $240.
Step-by-step explanation:
To solve for its area, we can break the figure apart.
If we splice the figure horizontally, we get a rectangle that is 30 inches long and 18 inches wide and a rectangle that is 30 inches wide and 10 inches in length.
If we solve for the two rectangles separately, we can add them to get the total area of this figure.
The area of rectangle a is 540 sq inches because 30 x 18 = 540.
The area of rectangle b is 300 sq inches because 30 x 10 = 300.
300 + 540 = 840.
The area of this figure is 840 square inches.
Hope this helps! Have an awesome day :)
The intercept of 2 equations is a point that verifies both equations. By that I mean that if you replace the coordinates of this point in both equations, you would get the same y.
So, to do this, you use this form of expression: y=y
So you do the equality of both expressions, and find x.
But in your case, we have one equation that is not in the y= form: y+3=1/2x.
So you subtract 3 from each side, making it y=1/2x-3
Now, we can do y=y.
1/2x-3 = 5x-7x+8
1/2x-3=-2x+8
Then, we move the variables to a side, and the numbers to the other side of the expression, so you get:
1/2x + 2x = 8 + 3
5/2x = 11
To find x, you divide both sides by 5/2:
x= 11/(5/2)
x= 11*2/5 (when you divide 2 fractions, the result is equal to the first fraction multiplied by the inverse of the second)
x=22/5
So, the intercept of y+3=1/2x and y=5x-7x+8 is 22/5.
You can check your answer (this is very important):
y+3 = 1/2 * 22/5
y+3 = 22/10
y= -8/10
y=5x-7x+8
y=5(22/5)-7(22/5)+8
y=-8/10
Hope this Helps! :)
