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Anna11 [10]
2 years ago
5

Ax +by=c solve for y

Mathematics
1 answer:
hichkok12 [17]2 years ago
6 0

Answer:

y = c/b - (A x)/b

Step-by-step explanation:

Solve for y:

A x + b y = c

Hint: | Isolate terms with y to the left hand side.

Subtract A x from both sides:

b y = c - A x

Hint: | Solve for y.

Divide both sides by b:

Answer:  y = c/b - (A x)/b

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Rectangle 1 has length x and width y. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k, where k
tresset_1 [31]

Answer:

a) Similar

b) Perimeter of rectangle 2 is k times the Perimeter of rectangle 1 (Proved Below)

c) Area of rectangle 2 is k^2 times the Area of rectangle 1 (Proved Below)

Step-by-step explanation:

Given:

Rectangle 1 has length = x

Rectangle 1 has width = y

Rectangle 2 has length = kx

Rectangle 2 has width = ky

(a) Are Rectangle 1 and Rectangle 2 similar? Why or why not?

Rectangle 1 and Rectangle 2 are similar because the angles of both rectangles are 90° and the sides of Rectangle 2 is k times the sides of Rectangle 1. So sides of both rectangles is equal to the ratio k.

(b) Write a paragraph proof to show that the perimeter of Rectangle 2 is k times the perimeter of Rectangle 1.

Perimeter of Rectangle = 2*(Length + Width)

Perimeter of Rectangle 1 = 2*(x+y) = 2x+2y

Perimeter of Rectangle 2 = 2*(kx+ky) = 2kx + 2ky

                                          = k(2x+2y)

                                          = k(Perimeter of Rectangle 1)

Hence proved that Perimeter of rectangle 2 is k times the perimeter of rectangle 1.

(c) Write a paragraph proof to show that the area of Rectangle 2 is k^2 times the area of Rectangle 1.

Area of Rectangle = Length * width

Area of Rectangle 1 = x * y

Area of Rectangle 2 = kx*ky

                                  = k^2 (xy)

                                  = k^2 (Area of rectangle 1)

Hence proved that area of rectangle 2 is k^2 times the area of rectangle 1.

4 0
3 years ago
One number exceeds another by 44. the sum of the numbers is 24. what are the​ numbers?
baherus [9]

Let, the numbers = x,y

x+y= 24   1st eqn

x-y = 44   2nd eqn

24-y-y = 44

-2y = 44-24

y = 20/-2 = -10

substitute that in equation 1st x = 24+10 = 34

so, the numbers would be 34 & -10



4 0
3 years ago
Can any of ya check my answer?
nikitadnepr [17]

Answer:

Your answer is right! It's (-2, 8)

8 0
2 years ago
What is 17/12 as a mixed fraction
kozerog [31]

Answer: 1 5/12

Step-by-step explanation:

Divide 17 by 12

3 0
2 years ago
Read 2 more answers
The vertex of the parabola below is at the point (1, 5), and the point (2, 8) is on the parabola. What is the equation of the pa
N76 [4]

Answer: B

Step-by-step explanation:

the parabola having (1,5) as vertex have as equation:

y=k*(x-1)²+5

It is passing through (2,8)

8=k*(2-1)²+5 ==> k+5=8 ==> k=3

equation is  y=3(x-1)²+5

Answer B

6 0
2 years ago
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