NotGuest

If the area, perimeter, diagonal length, ratio of length to width/width to length, or a picture that gives us more information is given, we will be able to figure it out. Because there is no specified rule for the ratio of length to width of a rectangle, the width can be any number smaller than infinity and above 0.

1. Which of the following lines is parallel with the graph of the given equation AND goes through the given point below?

y = 8x + 5

Point (1,9)

The answer would be C because parallel lines must have the same slope and the slope needs to be 8. C fits that description but so does everything else, so we need to figure out the y-intercept. Because the slope is 8, or 8/1, for every 1 change in x, there will be 8 changes in y. So, because (1,9) is the point given, we can subtract one from the x and we'll have to subtract 8 from the y. Therefore, our new point will be (0,1) which means our y-intercept is 1. C is the only answer choice that fits this.

2. Which of the following lines is perpendicular with the graph of the given equation AND goes through the given point below?

-3x + 2y - 5 = 7

Point (-3,4)

First, let us put this into slope-intercept form. That will give us:

-3x + 2y - 5 = 7

(Add 5 to both sides)

-3x + 2y = 12

(Add 3x to both sides)

2y = 3x + 12

(Divide both sides by 2)

y = 3/2x + 6

Therefore, our slope is 3/2 and our y-intercept is 6. Now, because we want to find a line perpendicular to this line, we must find the negative reciprocal of the slope, or -2/3. This will be the slop we want. Now, choices B and C fit the description, so we need to find the y-intercept of our new line. We have the point (-3,4) so, because our slope is -2/3, we can add three to the x axis and subtract 2 from the y. So, our new y-intercept is (0,2). Therefore, we need a +2 at the end of our new equation for the line. So the answer would be B.

Answer key:

1) C

2) B

So, to figure out the second answer, we must figure out the first one. I will write all of the steps below:

First, we need to make an equation to figure out x.

x + x + 82 + x - 7 = 180

Because the angles in a triangle always add up to 180 degrees.

x + x + x + 82 - 7 = 180

3x + 75 = 180

3x = 105

x = 35

So, x = 35. Now, let's figure out the measure of angle Q.

Q = x + 82

Q = 35 + 82

Q = 117

So, Q = 117

Answer:

x = 35

Q = 117

If Lorenzo has 3 dollars, and he gave 2/3 of it to Kyle, it means he gave 2 dollars to Kyle. This is because:

3 * 2/3 = 2

Then, because he has 3 - 2 = 1 dollar left, once he gives 2 dollars to Dulia, he has:

1 - 2 = -1

So, he has -1 dollars left. Which means:

He is 1 dollar in debt.

9th grade, why did you want to know?

Btw, I try to explain everything in terms that everyone else will understand, in case it seemed like a baby-ish answer :/

Colors. I know this because of two main reasons. As you may have heard somewhere, someone may have been told to change the hue of a color by a little, which means to change the color a little bit. For example, the color yellow with its hue changed by a little bit could be orange.

The second reason is because I play Geometry Dash (an awesome game). It is a game where you jump over spikes and stuff by pressing left click. There is an option to create levels yourself, and changing the hue of colors is part of it.

Therefore, I know that your answer will be:

D) Colors

Because one yard is three feet, a floor with a perimeter of x will have a perimeter of x/3 yards.

Therefore, because the warehouse floor has a perimeter of 6,615 feet, the perimieter of the floor in yards will be 6,615/3.

= 2205 yards

The first picture is a dilation because the frog got bigger, the second picture is a reflection because they are facing different ways, and the third picture is a translation because the frog is the exact same but in a different place.

It looks to me like the bananas aren't dilated, but just transformed.

So the answer would be the bananas