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makvit [3.9K]
2 years ago
5

Find the slope (m) and y-intercept (b) of each representation be

Mathematics
1 answer:
scoray [572]2 years ago
5 0

Answer:

m= -2

b = 3

Step-by-step explanation:

Take two points from line.

(0,3) and (1,1)

now slope(m) = (1-3)/(1-0)

m = -2

now

y = mx+b

or, 3 = -2×0+b

or, 3 = 0+b

so, b = 3

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Polygon ABCD, shown in the figure, is dilated by a scale factor of 8 with the origin as the center of dilation, resulting in the
saveliy_v [14]
C = (5,4)

D = (4,2)

Dilation with factor 8 => for the same x, y increase by a factor of 8

=> C' = (5, 8*4) = (5, 32)

=> D' = (4, 8*2) = (4, 16)

slope of C'D' = [32 - 16] / [5 -4 ] =16

You can also see that the slope of CD = [4 - 2] / [5 - 4] = 2

Then, the new slope is 8 times the old slope, this is it was multiplied by the same factor, 8. 

Answer: 16
7 0
3 years ago
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mariarad [96]

Answer:

249 cm^2

Step-by-step explanation:

This problem becomes easier if we subdivide the figure, find the areas of the resulting figures and then sum them up.

Draw a vertical line straight down from the edge marked "4 cm" towards the edge marked "18 cm."  The resulting rectangle on the left is 15.5 cm long and (18 - 7.5) cm wide, or 15.5 by 10.5 cm.  Its area is 162.75 cm^2.

Next, find the area of the rectangle on the right of the line we drew.  Its width is 7.5 cm and its height (15.5 - 4) cm, resulting in an area of 86.25 cm^2.

Last, add together these two subareas:  combine 86.25 cm^2 and 162.75 cm^2.  The total area of the composite figure is then 249 cm^2 (answer).

7 0
3 years ago
120% of 37 is what number?
xxMikexx [17]
120% of 37 is 44.4. Good luck!
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What is the solution to -13×=78​
Pavlova-9 [17]
-13x=78
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3 years ago
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Graph the line with slope -3 passing through the point (5,0)
Ghella [55]
Y-y1= m(x-x1) point-slope form
y-0= -3(x-5)
solve this point-slope form to slope-intercept form. Use the information to graph the line.
4 0
3 years ago
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