If 90 tickets were sold at Gate C, what was the total number of tickets sold?

Alenkasestr [34]

Answer: the answer is C which is .0287

7 0

3 years ago

In basketball, some baskets are worth two points. Others are worth three points. In one game, the ratio of three-point basket

Tems11 [23]

Answer:

Writing the information in the form of ratio

Three point basket = Three point tries

3 : 4

27 : x

Think about multiplication , how many 3s do you need to make 27 ?

Its 27 ÷ 3= 9

Because you need 9 lots of 3, Then to make it proportional , you'd need 9 lots of 4

9×4 = 36

Three points tries is 36

8 0

3 years ago

How to graph 9x+15y=45

leonid [27]

First you should rearrange to get it in the form y = mx + c, and you do this by subtracting the 9x from both sides and dividing by 15, which gives you:
y = (-9/15)x + 3

Now you know the y-intercept is 3, so you can mark that on as a point.
Then, to graph the gradient of -9/15, you go along 15 spaces to the right and 9 spaces down, or 15 to the left and 9 spaces up, and you repeat this until you run out of room. Then you just join the dots

I hope this helps! Let me know if you have any questions :)

3 0

3 years ago

The vertices of a parallelogram are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which of the following must be true if paral

Iteru [2.4K]

The answer is really none of the above, because all of these have divisions by difference in x, and there are perfectly fine rectangles where those will mean dividing by zero.

To do the problem the way they want us to, we note segments with the same slope are parallel (or collinear); segments with slopes which multiply to -1 are perpendicular.

Let's figure out what each choice is trying to tell us by translating it into parallel and perpendicular. Remember A is point 1, ...

A. ((y_4-y_3)/(x_4-x_3)= (y_3-y_2)/(x_3-x_2)) and ((y_4-y_3)/(x_4-x_3)×(y_3-y_2)/(x_3-x_2))=-1

translated, that's CD║BC and CD⊥BC - contradictory; second half right

B. (y_4-y_3)/(x_4-x_3)= (y_2-y_1)/(x_2-x_1) and ((y_4-y_3)/(x_4-x_3)×(y_2-y_1)/(x_2-x_1))=-1

CD ║ AB and CD ⊥ AB - only the parallelogram half is right

C. (y_4-y_3)/(x_4-x_3)= (y_2-y_1)/(x_2-x_1) and (y_4-y_3)/(x_4-x_3)×(y_3-y_2)/(x_3-x_2)=-1

CD║AB and CD⊥BC - that's TRUE

D. (y_4-y_3)/(x_4-x_3)= (y_3-y_1)/(x_3-x_1) and (y_4-y_3)/(x_4-x_3)×(y_2-y_1)/(x_2-x_1)=-1

CD║AC and CD⊥AB - nope

Answer: C

The way I'd get the proper expression is with the dot product.

A parallelogram is a rectangle when adjacent sides are perpendicular. It only takes one right angle to make them all right.

Two sides are perpendicular when the dot product of their direction vectors is zero. All the answers have $y_4 - y_3$ so one side is CD. The other side must be BC or AD; AD would give $y_4 - y_1$ terms which don't appear among the answer, so let's go with BC.