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OlgaM077 [116]
2 years ago
11

Create the equation of the line that passes through the point (1, -10) and is perpendicular to y=-1/3x+5

Mathematics
1 answer:
Ber [7]2 years ago
4 0

Answer:

y = 3x - 13

Step-by-step explanation:

y = -1/3x + 5

Perpendicular lines have slopes that are negative reciprocals of one another

so slope of perpendicular line is 3

y = mx + b

y = 3x + b

Using (1,-10)

-10 = 3(1) + b

-10 = 3 + b

b = -13

y = 3x - 13

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Find the coordinates of the image of point R(3, -5) rotated 180 degrees about the origin.
kolbaska11 [484]
180 degrees means that the new x=-x and the new y=-y so
x=3 and y=-5 is orignal
new is -3 and 5

so new oint is

A(-3,5)
6 0
3 years ago
Please show your work please
Nadusha1986 [10]
The correct answer is 4. 
5 0
3 years ago
Write the slope intercept form through: (5,1) and(2, -2)
victus00 [196]

We see that the slope of this line is \frac{-2-1}{2-5}=1, so we plug this and the point (5,1) into the point-slope form y-y_1=m(x-x_1) (note that there's nothing special about the point I picked; you can choose any point on the line):

y-1=x-5. This rearranges to the slope-intercept form \boxed{y=x-4}.

3 0
3 years ago
I could use some help please! please
Mnenie [13.5K]

Answer:

The integers could be 21 and 22

or -22 and -21

Step-by-step explanation:

If two integers are consecutive, then it means that their difference is just 1

if we have the initial value as x , then the other value could be x-1 or x + 1

let us go with x-1

So the product here is;

x(x-1) = 462

x^2-x = 462

x^2 -x -462 = 0

x^2 -22x + 21x - 462 = 0

x(x-22) + 21(x-22) = 0

(x + 21)(x-22) = 0

x = -21 or x = 22

If x = -21

x -1 = -21-1 = -22

if x = 22

x -1 = 22-1 = 21

5 0
3 years ago
Which of the following verifies that AABC is similar to ADEF?
nasty-shy [4]

Answer:

B. SAS Theorem

Step-by-step explanation:

SAS means that there are 2 corresponding sides with an angle in between. This condition is satisfied in this case because AC corresponds to DF (18/2 = 9), angle c and angle f are congruent, and BC corresponds to EF

6 0
2 years ago
Read 2 more answers
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