Tell me how to describe the translation

The points (0, 1) and (-9, -9) fall on a particular line. What is its equation in slope-intercept form?

prohojiy [21]

The slope-intercept form:

$y=mx+b\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

m - slope

b - y-intercept → (0, b)

We have the points (-9, -9) and (0, 1) - y-intercept → b = 1.

Calculate the slope:

$m=\dfrac{1-(-9)}{0-(-9)}=\dfrac{10}{9}$

Answer: $y=\dfrac{10}{9}x+1$

4 0

2 years ago

At a party of 102 people,17 lb of potato salad is served. a. Write and solve an equation to find how many people each pound of p

Novay_Z [31]

Each pound of potato salad serves 6 people and the average number of pounds of potato salad that each person is served will be $\frac{1}{6}$ pound.

Explanation

At a party of 102 people, 17 pounds of potato salad is served.

a. Suppose, each pound of potato salad is served to $x$ number of people.

So, 17 pounds of salad is served to $(17*x)$ or $17x$ number of people. That means......

$17x= 102\\ \\ x= \frac{102}{17}=6$

So, each pound of potato salad is served to 6 people.

b. Suppose, the average number of pounds of potato salad that each person is served is $y$

So, the total number of pounds of salad, served to 102 people $= (y*102)$ pounds $=102y$ pounds. That means .....

$102y= 17\\ \\ y= \frac{17}{102}= \frac{1}{6}$

So, the average number of pounds of potato salad that each person is served will be $\frac{1}{6}$ pound.

3 0

2 years ago

CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM

Klio2033 [76]

Answer:

V ≈ 2011 cm³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = area of base × perpendicular height

V = πr²h ( r is the radius and h the height )

Here r = 8 and h = 10, thus

V = π × 8² × 10

= π × 64 × 10 = 640π ≈ 2011 cm³ ( to nearest whole number )

3 0

2 years ago

X= 7 4. Find the equation of a line passing through (5, -6) perpendicular (b) 3x + 5y = (d) 7x - 12y (f) x = 7 (a) 2x + y = 12 (

goldfiish [28.3K]

Given data:

The first set of equations are x+y=4, and x=6.

The second set of equations are 3x-y=12 and y=-6.

The point of intersection of first set of te equations is,

6+y=4

y=-2

The first point is (6, -2).

The point of intersection of second set of te equations is,

3x-(-6)=12

3x+6=12

3x=6

x=2

The second point is (2, -6).

The equation of the line passing through (6, -2) and (2, -6) is,

$\begin{gathered} y-(-2)=\frac{-6-(-2)}{2-6}(x-6) \\ y+2=\frac{-6+2}{-4}(x-6) \\ y+2=x-6 \\ y=x-8 \end{gathered}$

Thus, the required equation of the line is y=x-8.

6 0

8 months ago

Please help it will help a lot i really need this!!

Lorico [155]

Answer:

A' = (0,0)

B'=(8,0)

C'=(8,2)

D'=(0,2)

It is not a rigid motion.

Step-by-step explanation:

To use the mapping rule, substitute the original x and y values in it.

The coordinates of A are (0,0).

Using the mapping rule, the x coordinate of A' = 2x0 = 0

Using the mapping rule, the y coordinate of A' = (1/2)x0=0

So A' will not change locations. The image will be at (0,0).

The coordinates of B are (4,0)

Using the mapping rule, the x-coordinate of B' = 2x4 = 8

Using the mapping rule, the y-coordinate of B' = (1/2)x0=0

Therefore the image of B' will be located at coorindate (8,0)

The coorindates of C are (4,4).

Using the mapping rule, the x-coordinate of C' = 2x4=8

Using the mapping rule, the y-coordinate of C' = (1/2)x4=2

Therefore the image of C' will be located at coordinate (8,2)

The coordinates of D are (0,4)

Using the mapping rule, the x-coordinate of D' = 2x0 = 0

Using the mapping rule, the y-coordinate of D' = (1/2)x4=2

Therefore the image of D' will be located at coordinate (0,2)

Is the transformation a rigid motion?

NO, this transformation is not a rigid motion because the relative distance between the points does not stay the same after they have been transformed. The transformation is not a translation , rotation, reflection, nor glide reflection.

6 0

2 years ago