Jay graphed the line y = x-6 on a coordinate plane. He drew an image of the line 3 units to the right of the original line. What is the same about the two lines?

Answers

Answer 1

Answer: The lines are parallel, because they have the same gradient but are just in different positions ie. y = x-9.

Answer 2

Answer:

Answer:

No, he is not correct. Jay drew a line through the origin, but the line did not connect all three points. Not all the points lie on the line, which is necessary for a proportional relationship.

Step-by-step explanation:

It's the sample response.

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the ratio of blue marbles to red marbles in a bag is 11:9. if there are 99 blue marbles in the bag how many marbles are red?

Answers

If there were 99 blue marbles there would be 81 red marbles.
$(11)/(9) (*9)/(*9)= \boxed{(99\ red)/(81\ blue)}$

99 blue 81 red marbles

Circumference of a circle is 40 π cm. A quarter of the circle represents the developer layer genuine coupe. Calculate the surface compartment.

Answers

we have to find the radius, how can we got it??

$C=2\pi*r$

then

$40\pi=2\pi*r$

$\boxed{r=20~cm}$

A quarter of the circle will have a surface of a quarter of the circle, there fore

this is the surface of the circle

$S=\pi*r^2$

a quarter of it

$S_{(1)/(4)}=(1)/(4)*\pi*r^2$

then we can replace the value of r

$S_{(1)/(4)}=(1)/(4)*\pi*20^2$

$S_{(1)/(4)}=(1)/(4)*\pi*400$

we can simplify

$\boxed{\boxed{S_{(1)/(4)}=100\pi~cm^2}}$

$2 \pi r=40 \pi \ cm\ \ \ \Rightarrow\ \ \ r= (40 \pi )/(2 \pi ) =20\n\nS= \pi r^2\ \ \ \Rightarrow\ \ \ quarter:\ \ A= (1)/(4) \cdot S= (1)/(4) \cdot \pi \cdot20\cdot20=100 \pi \ [cm^2]$

There were 4 people in the room. Each has 3/5 of a bottle ink left. How many markers worth of ink were there in the room

Answers

To answer this you would just multiply 4*3/5 because 4 people have 3/5 ink left. The easiest way to do that is change 3/5 into a decimal.
3/5 = 0.6
4*0.6 = 2.4
So, there are 2.4 markers worth of ink in the room.
Hope this helps!

Write an equivalent expression for 3x+12+7x+x

Answers

3x+12+7x+xCombine Like Terms:=3x+12+7x+x=(3x+7x+x)+(12)=11x+12Answer:=11x+12

Final answer:

The equivalent expression for 3x+12+7x+x is obtained by combining like terms, which gives us 11x + 12.

Explanation:

To find an equivalent expression for the equation 3x+12+7x+x, we need to combine like terms. This principle is similar to the addition of ordinary numbers, where the order doesn't affect the final sum, for example, 2 + 3 equals to 5, just as 3 + 2 equals to 5. In this case, the like terms are the terms that have the variable 'x'.

First, let's add all the terms that contain 'x': 3x + 7x + x. Here, 3x, 7x, and x (which mathematically equals to 1x) are like terms because they all contain the variable 'x'. So, if we combine them, it sums up to 11x.

Then, we can combine this result with the remaining number in the equation, which is 12. Therefore, an equivalent expression for 3x+12+7x+x is 11x + 12.