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Illusion [34]
3 years ago
8

The equation below shows the area of a trapezoid, A, with a height of 9 cm, and one base 35 cm A = 9 over 2(b + 35). Which of th

e following formulas correctly solves for the other base, b? A. b = 2A over 9 + 35. B. b = 2 multiplied by A over 9 - 35. C. b = 2 multiplied by A plus 35, all over 9 D. b = 2 multiplied by A minus 35, all over 9
Mathematics
2 answers:
stepladder [879]3 years ago
8 0
B - the other base;
A = 9/2 ( b + 35 )   / * 2  ( we will multiply both sides of the equation by 2 )
2 A = 9 ( b + 35 )
b + 35 = 2 A / 9 
b + 35 - 35 = 2 A / 9 - 35
b = (2 A / 9 ) - 35
Answer: B ) b = 2 multiplied by A over 9 - 35
TiliK225 [7]3 years ago
3 0

Answer:

b

Step-by-step explanation:

b - the other base;

A = 9/2 ( b + 35 )   / * 2  ( we will multiply both sides of the equation by 2 )

2 A = 9 ( b + 35 )

b + 35 = 2 A / 9 

b + 35 - 35 = 2 A / 9 - 35

b = (2 A / 9 ) - 35

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What is the value of k used to find the coordinates of a point that partitions a segment into a ratio of 5:3. Please Explain.
Dafna11 [192]

Answer:

The value of k is 5/8

Step-by-step explanation:

The value of k is found by dividing the numerator of the original ratio, 5, by the sum of the numerator and denominator of the ratio

When finding a point, P, to partition a line segment AB into the ratio a/b, we find a ratio c = a / (a + b)

According to this formula we find the value of k.

k = a/(a+b)

where a = 5

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Now plug the values in the formula:

k = 5/(5+3)

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4 0
3 years ago
polygon ABCD is defined by the points A(-4,2), B(-2,4), C(1,3), and D(2,2). match the coordinates of the points you f the transf
Tomtit [17]

<u><em>Answer:</em></u>

D' ..................> (-2,2)

C'' .................> (3,-1)

A''' ................> (4,-2)

B'' .................> (4,2)

<u><em>Step-by-step explanation:</em></u>

<u>Before we begin, we should remember the rotation rules:</u>

<u>1- Rotation 90° clockwise:</u>

Coordinates (x,y) become (y,-x)

<u>2- Rotation 90° counter clockwise:</u>

Coordinates (x,y) become (-y,x)

<u>3- Rotation 180° clockwise:</u>

Coordinates (x,y) become (-x,-y)

<u>4- Rotation 270° counter clockwise:</u>

Coordinates (x,y) become (y,-x) ...........> same as rotation 90° clockwise

<u>Now, let's consider the given problem:</u>

<u>1- Coordinates of D' if polygon ABCD rotates 90° counter clockwise to create A'B'C'D'</u>

Original coordinates of point D are (2,2)

Rotation 90° counter clockwise means that the new coordinates will be (-y,x) which is (-2,2)

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Rotation 180° clockwise means that the new coordinates will be (-x,-y) which is (4,-2)

<u>4- Coordinates of B'' if polygon ABCD rotates 270° counter clockwise to create A''B''C''D''</u>

Original coordinates of point B are (-2,4)

Rotation 270° counter clockwise means that the new coordinates will be (y,-x) which is (4,2)

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