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Sunny_sXe [5.5K]
3 years ago
13

1 . Evaluate 3a - 12 divided by a for a =4 2. Evaluate 3x- 2y , if x= 5 and y =3

Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0
This is how I understood the question

Hope I helped!

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A system of equations is given below. y=1/2x-3 and -1/2x-3. Which of the following statements best describes the two lines?
pantera1 [17]

"They have different slopes but the same y-intercept, so they have one solution" is the statement which best describes the two lines.

Answer: Option D

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

Given equations:

           y=\left(\frac{1}{2} \times x\right)-3

           y=\left(-\frac{1}{2} \times x\right)-3

As we know that the slope intercept form of a line is  

                             y = m x + c  

So, from equation 1 and equation 2 we can see that

              m_{1}=\frac{1}{2} \quad \text { and } c_{1}=-3

              m_{2}=-\frac{1}{2} \text { and } c_{2}=-3

So, from the above expressions, we can say that both lines have different slopes but have same y – intercept with one common solution when x = 0.

4 0
3 years ago
Read 2 more answers
Paying 50 usd to anyone who helps​
Doss [256]

Answer:

3 no.

ans only

-0,2

-3,1

-4,3

4no.

3,2

1,5

-2,1

Step-by-step explanation:

we should use formula of y axis. (-x,y).

8 0
2 years ago
Which graph shows the result of dilating this figure by a factor of 4 about the origin? On a coordinate plane, rectangle A B C D
Andrei [34K]

Answer:

Second option: On a coordinate plane, rectangle A'B'C'D' prime has points (-4,4),(12,4),(12,-4),(-4,-4)

(See the graph attached)

Step-by-step explanation:

For this exercise it is importnat to know that a Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) has the same shape as the Pre-Image (which is the original figure before the transformation), but they have different sizes.

In this case, you know that the vertices of the rectangle ABCD ( The Pre-Image)  are the following:

A(-1,1)\\\\B(3,1)\\\\C(3,-1)\\\\D(-1,-1)

Therefore, to find the vertices of the rectangle A'B'C'D' (The Image)  that results of dilating the rectangle ABCD by a factor of 4 about the origin, you need to multiply the coordinates of each original vertex by 4. Then, you get:

A'=((-1)(4),(1)(4))=(-4,4)\\\\B'=((3)(4),(1)(4))=(12,4)\\\\C'=((3)(4),(-1)(4))=(12,-4)\\\\D'=((-1)(4),(-1)(4))=(-4,-4)

Finally, knowing those points, you can identify that the graph that shows the result of that Dilation, is the one attached.

7 0
3 years ago
Read 2 more answers
You randomly choose letter from a with the letters A through J. Without replacing the a choose letter. Find the first letter, yo
storchak [24]
Glossy ish iffy Janie doo
5 0
3 years ago
A rectangle is 2.5 times as long as it is wide. Find the dimensions of the rectangle if it is perimeter is 56 cm.
antoniya [11.8K]
Perimeter of a rectangle = 2 (length + breadth)
or, 56 = 2(2.5 breadth + breadth)
or, 56 = 7*breadth
breadth = 56*7 = 8 cm
length = 2.5*8 = 20 cm
6 0
3 years ago
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