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Fittoniya [83]
2 years ago
5

Write an equation of a line with the slope of 1 and y-intercept of 4

Mathematics
1 answer:
Rashid [163]2 years ago
8 0

Answer (<u>assuming it can be in slope-intercept form)</u>:

y = x + 4

Step-by-step explanation:

With the given information, we can write the equation of the line in slope-intercept form. Use the slope-intercept formula, y = mx + b, and substitute values for m and b.

The m, or the coefficient of the x-term, represents the slope, so substitute 1 in its place. The b represents the y-intercept, so substitute 4 in its place. This gives the following answer:

y = x + 4

(Remember that the coefficient of the x-term, 1, is still there. However, instead of 1x, we can just write it as x.)

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A rectangle has the following vertices. Find the area of the rectangle. (9, −1), (−1, 7), (−5, 2), (5, −6)
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Answer:  82 sq. units .

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Let A (9, −1), B (−1, 7), C(−5, 2), D(5, −6) are the vertices of rectangle.

Then we plot them on graph ( as provided in attachment)

Length = AB =\sqrt{(9+1)^2+(-1-7)^2} units  [By distance formula : \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]

=\sqrt{(10)^2+(-8)^2}=\sqrt{100+64}=\sqrt{164}=2\sqrt{41} units

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Hence, the  area of the rectangle is 82 sq. units .

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The figure will be dilated by a scale factor of 1.2. Find the new length. W: 25 in L: 40 in​
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<h3>Dilation</h3>

Given the following information

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If the length and the width are dilated by a factor of 1.2, the new length and width is expressed as;

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L = 48 in

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Learn more on dilation here: brainly.com/question/10253650

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