3a-2b=50, 2a+3b=100 what does a equal and what does b equal?

Which equation does NOT represent a proportional relationship between two variables with the constant of proportinality of? 1/2

Dimas [21]

Answer:

(D) $y=x+\frac{1}{2}$

Step-by-step explanation:

Two variables x and y are proportionally related if they can be written in the form y=kx, where k is the constant of proportionality.

From the given options, if $k=\frac{1}{2}$

(B) $y=\frac{1}{2}x$ is of the form y=kx

(C) $y=\frac{3}{6}x$ is of the form y=kx with $k=\frac{1}{2}$ as $\frac{3}{6}=\frac{1}{2}$ in its lowest form.

(C) $y=0.5x$ is of the form y=kx with $k=\frac{1}{2}$ as $0.5=\frac{1}{2}$ in fractional form.

On the Contrary,

In Option D, $y=x+\frac{1}{2}$ does not represent a proportional relationship between x and y. The constant of proportion is supposed to be a product of x.

6 0

3 years ago

Explain, with a test, why the two triangles in each figure are similar. Find the

frutty [35]

Answer:

x = 3, y = 6

Step-by-step explanation:

In the figure attached,

If ΔADE and ΔABC are similar triangles, their corresponding sides will be in the same ratio.

By this property,

$\frac{AB}{AD}=\frac{AC}{AE}=\frac{BC}{DE}$

$\frac{AB}{AD}=\frac{AC}{AE}$

$\frac{AD+BD}{AD}=\frac{AE+EC}{AE}$

$\frac{3}{2}=\frac{x+1.5}{x}$

3x = 2x + 3

3x - 2x = 3

x = 3

Similarly, $\frac{AB}{AD}=\frac{BC}{DE}$

$\frac{3}{2}=\frac{y}{4}$

y = $\frac{3\times 4}{2}$

y = 6

7 0

3 years ago

Calculate axis of symmetry and vertex for equation 4x squared + 8x = 32

Sloan [31]

Answer:

x=2,−4 hope this was help full

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Chuge%5Cfbox%5Cpurple%7BQuestion%7D" id="TexFormula1" title="\huge\fbox\purple{Question}" al

ICE Princess25 [194]

The LCM of the given numbers have been determined.

LCM stands for Least Common Multiple .

For two numbers , LCM is the number that is the smallest number of which they both are a factor.

It is asked to determine

LCM of 6 and 9

6 = { 6 , 12 , 18 , 24 , 30 , 36 , 42 .....}

9 = { 9 , 18 ,27 .....}

The LCM of 6 , 9 is 18

LCM of 8 and 12

8 = { 8,16,24,32....}

12 = {12 , 24 ,36....}

The LCM of 8 and 12 is 24

LCM of 4 , 6 and 8

4 = {4 , 8 , 12 , 16 , 20,24,28 ....}

6 = { 6 ,12 ,18,24......}

8 = {8 , 16,24 .....}

The LCM of 4,6 and 8 is 24

The LCM of 6 and 15 is 30

The LCM of 20 and 30 is 60

The LCM of 25,30 and 75 is 150

The image of the solution is attached .

To know more about LCM

brainly.com/question/20739723

#SPJ1

6 0

2 years ago

a newborn boa constrictor measure 18 inches long. An adult boa constrictor measures 9 times the lenght of the newborn plus 2 inc

Sunny_sXe [5.5K]

Newborn = 18 inches
adult boa = 9 * 18 + 2 = 164 inches

Since all the information is given, then merely put the necessary facts in order.

Had the length of the newborn been unknown, it would have been represented by x.

9x + 2 = 164
9x = 164 - 2
9x = 162
9x/9 = 162/9
x = 18

8 0

3 years ago

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