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djverab [1.8K]
3 years ago
6

1. A system of equations is shown below. Find the solution by using substitution.

Mathematics
2 answers:
umka21 [38]3 years ago
8 0

Answer:

x = 2

y = 4

or (2 , 4)

Step-by-step explanation:

Since both equations are equal to y we can substitute one of the equations to fill in the spot of y so that both equations are equal to each other with no y variable.

3x-2 = x+2\\

Now we can solve x.

3x= x+4\\

2x = 4\\

x = 2

Now that we have solved for one variable we can plug this back into either equation and solve for y.

y = 2 + 2\\

y = 4

jonny [76]3 years ago
7 0

Answer:

Uuhhhh use your brain??

Step-by-step explanation:

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A zoo has a black rhinoceros that weighs 18 times as much as an average-size chimpanzee. The rhinoceros weighs 2,250 pounds.
Vinvika [58]

Answer: 125 pounds

Step-by-step explanation:

Let's first represent the weight of the black rhinoceros and chimpanzee with variables. We will assign <em>r</em> for the rhinoceros and <em>c</em> for the chimpanzee.

In the question, we were given that the weight for a black rhinoceros is 18 times as much as an average-size chimpanzee. This makes 18 times the chimpanzee's weight equal to the rhinoceros' weight.

Let's put this into an equation.

r=18*c

Now, let's put in the values we know to find the weight of the chimpanzee (i.e., <em>c</em>). We know the weight of a rhinoceros (represented by <em>r</em>) is 2250 pounds, so we can replace it for <em>r</em> in the equation.

2250=18*c

To solve this equation, we can divide both sides by 18 to get c by itself and know what it's value is.

\frac{2250}{18}=\frac{18*c}{18}

We can remove the \frac{18}{18} from the right side to be left with c. We can also divide 2250 by 8 to get the weight of an average-size chimpanzee.

c=\frac{2250}{18}\\ c=125

Hence, an average-size chimpanzee weighs 125 pounds.

8 0
2 years ago
If area of a circle measures 16/25 pi cm square, what is the circumference of the circle in terms of pi
pishuonlain [190]
A = pi*r^2

(16/25)*pi = pi*r^2

16/25 = r^2

rt(16/25) = r

r = 4/5


C = 2pi*r
C = 2pi*(4/5)
C = (8/5) pi cm
7 0
3 years ago
Help please somebody
Julli [10]

Answer:

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Step-by-step explanation:

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Vitek1552 [10]
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Mrrafil [7]
An Isometry does not describe a dilation. To dilate an image would be to change the size of an image, specifically by a certain amount, which is called the scale factor.

An expansion and retraction both change the size of the image, meaning that they do apply to dilation. An image is always expanded or retracted by a scale factor.
 
For example, if I were to double the size of an image, I would be dilating it by a scale factor of 2. If I were to retract an image to half of it's original size, I would be dilating the image by a scale factor of 1/2. 

An Isometry is defined by a <span>transformation that is invariant with respect to distance. This only means that the size and shape of the image will not change. Examples of isometries are translations, reflections, and rotations. 

Therefore, with the given information, the answer must be Isometry.</span>
8 0
3 years ago
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