Need for a test rn help !!

Draw the triangle with vertices a(1, 1), b(5, 3), c(1, 7). find the parametrization, including endpoints, and sketch to check. (

Firlakuza [10]

Part A:

The parametric equations $x=x_1+(x_2-x_1)t$ and $y=y_1+(y_2-y_1)t$ where $0\leq t\leq1$ describes the line segment that joins the points $(x_1,\ y_1)$ and $(x_2,\ y_2)$ .

The parameterization of the line joining points A(1, 1) and B(5, 3) are given by substituting $x_1=1,\ \ y_1=1,\ \ x_2=5,\ \ y_2=3$ .

Thus, we have

x = 1 + (5 - 1)t = 1 + 4t
y = 1 + (3 - 1)t = 1 + 2t

Therefore, the parameterization of line joining points A(1, 1) and B(5, 3) are x = 1 + 4t and y = 1 + 2t.

Part B:

The parametric equations $x=x_1+(x_2-x_1)t$ and $y=y_1+(y_2-y_1)t$ where $0\leq t\leq1$ describes the line segment that joins the points $(x_1,\ y_1)$ and $(x_2,\ y_2)$ .

The parameterization of the line joining points B(5, 3) and C(1, 7) are given by substituting $x_1=5,\ \ 
y_1=3,\ \ x_2=1,\ \ y_2=7$ .

Thus, we have

x = 5 + (1 - 5)t = 5 - 4t
y = 3 + (7 - 3)t = 3 + 4t

Therefore, the parameterization of line joining points B(5, 3) and C(1, 7) are x = 5 - 4t and y = 3 + 4t.

Part C:

The parametric equations $x=x_1+(x_2-x_1)t$ and $y=y_1+(y_2-y_1)t$ where $0\leq t\leq1$ describes the line segment that joins the points $(x_1,\ y_1)$ and $(x_2,\ y_2)$ .

The parameterization of the line joining points C(1, 7) and A(1, 1) are given by substituting $x_1=1,\ \ 
y_1=7,\ \ x_2=1,\ \ y_2=1$ .

Thus, we have

x = 1 + (1 - 1)t = 1
y = 7 + (1 - 7)t = 7 - 6t

Therefore, the parameterization of line joining points A(1, 1) and B(5, 3) are x = 1 and y = 7 - 6t.

8 0

3 years ago

If 10+6/x=22 what is the value of x

s344n2d4d5 [400]

Answer:

x=8/11

Step-by-step explanation:

10+6/x=22

16/x=22

16=22x

x=16/22

x=8/11

7 0

3 years ago

How do you do this question

maxonik [38]

Answer:

I am not sure about the actual answer but hopefuly you figure this out

Step-by-step explanation:

To get the number of boys and girls you do 3+5 to get 8. 120 divided by 8 is 15. so every digit in the ratio is 15 students. 15x3 is 45 and 15x5 is 75. there are 45 girls and 75 boys. 16/25 of the boys go climbing. There are 75 boys so you do 16x3 because 25x3 is 75 so 16x3 is 48. 48 boys go climbing. 120-48 is 72. and 27 boys go sailing.

8 0

3 years ago

Choose all the expressions with accurately written descriptions.

valentina_108 [34]

There are two expressions which do not match with the written descriptions to ist right.

Those are:

1) (4x - 3)^2 - 1: see that the written description does not square the difference of 4x and 3

2) 3(5x^2 + 14x + 7): see that the written description tells that 5 is added to the square ox x, which is not what the expression shows.

The other 4 expressions match with the written descriptions.

So, you can choose those other 4 expressions.

4 0

4 years ago

PLS HELP ILL MARK BRAINLIEST

stiv31 [10]

Answer:

210=75x-10x+35

Step-by-step explanation:

So we know to total profit he made is 210 dollars, in which he earned from 3 independent reasons.

The profits he made in per appointment will need a variable because we don't know how many appointments he made. So knowing that we can conclude that 75 dollars and 10 dollars per appointment has to have a variable after it. The same variable as well because both of which are money.

As of the tip, we don't need a variable because it is a one time addtion, he recieved a total of 35 dollars after all of the appointments, so no need to know how many. We already know the total.

So that leaves us to write an equation. The total=$per appointment-fee per appointment+tip. Which becomes 210=75x-10x+35.

Hope this helps!

5 0

3 years ago