Determine whether the following pairs of lines are parallel,perpendicular,or neither. y=2x+1 2x+y=7

Answers

Answer 1
Answer:
In order to answer this one, you have to remember:

--> Parallel lines have equal slopes.

--> Perpendicular lines have negative reciprocal slopes.

                       (One slope  =  - [ 1/the other slope ]

The question gives us two lines:

#1).  y = 2x + 1
#2).  2x + y = 7

The first equation is in nice slope-intercept form, and we can see
right away that the slope of its graph is  2 .

The second equation is not in slope-intercept form, so we need to
massage it slightly before we can spot the slope of its graph.

                                            2x + y =          7

Subtract  2x  from each side:      y = -2x + 7 .  <== slope-intercept form.
                                                                                Slope = -2 .
Now we know both slopes.

#1).  Slope =  2
#2).  Slope = -2

Are the slopes equal ?  I don't think so.  2  is not equal to  -2 .
The lines are not parallel. 

Are the slopes negative reciprocals ?  I don't think so. 
2 is not equal to  -[ 1/(-2) ].
The lines are not perpendicular.



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Please Help! When Mario has to leave the house for a while, he tethers his mischievous puppy to the corner of a 12 ft-by-8 ft shed in the middle of his large backyard. The tether is 18 feet long. Which description fits the boundary of the locus of points in the yard that the puppy can reach?

A. semicircles of radii 18 ft, 10 ft, and 6 ft

B. a three-quarter circle of radius 18 ft, quarter circles of radii 10 ft and 6 ft

C. semicircles of radii 18 ft, 12 ft, and 8 ft

D. a three-quarter circle of radius 18 ft, quarter circles of radii 12 ft and 8 ft

Answers

Answer:

  B. a three-quarter circle of radius 18 ft, quarter circles of radii 10 ft and 6 ft

Step-by-step explanation:

A diagram can be a useful aid to answering this question. At one corner of the shed, 8 ft of rope is no longer available, so the quarter circle has a radius of 18-8 = 10 ft. (That side of the shed is 12 ft, so the area is only a quarter circle.)

At the other corner of the shed, 12 ft of rope is no longer available, so the quarter circle has a radius of 18-12 = 6 ft. (That side of the shed is 8 ft, so the area is only a quarter circle.)

In the attached diagram, the 3/4 circle with radius 18 ft is shown red, and the quarter circles are shown in green.

What is the value of f(2)
A) -1
B) -0.75
C) 3
D) 12

Answers

Graphed Functions

When we are finding f(x) given a value of x, we must identify the value of y that results from the value of x.

Solving the Question

We are asked to find f(2).

On the graph, first find the location of x=2.

Then, identify where the function is at x=2.

Finally, identify the corresponding y-value: 12.

Answer

The value of f(2) is 12.

Given the function f (x) = 8x2 - 14x – 10, find f -2).

Answers

Remember from now on ;

If the value of f(x) is asked, we put what thing written in parentheses inside the function instead of x. It doesn't different what is written, we just have to replace it with x.

Got it ?

Now Let's do it .....

f( x) = 8 {x}^(2) - 14x - 10

f( - 2) = 8({ - 2})^(2) - 14( - 2) - 10 \n

f( - 2) = 8 * 4 + 28 - 10

f( - 2) = 32 + 28 - 10

f( - 2) = 60 - 10

f( - 2) = 50

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And we're done...

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A square measures 8 inches on each side. What is its area rounded off to the nearest square centimeter? (

Answers

The area of any rectangle is (length) x (width).
Your square is a rectangle, with length=width.

Using  1 inch = 2.54 centimeters, the square's area is

               (8 x 2.54 cm)  x  (8 x 2.54 cm)

           =     (20.32 cm)  x  (20.32 cm)  =  412.90⁺ cm²

Rounded to the nearest cm², it's 413 cm² .

PLEASE HELP WORTH 15 PTSUsing the scatterplot below, can you estimate the salary of something working for 11 years?

Answers

Answer: $65,000

Step-by-step explanation: Each box worth $5,000


Which axis is triangle ABC reflected across?

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Answer: The X axis.

Step-by-step explanation: You can tell because if you fold the paper in half hamburger style then the two shapes line up and they fold across the X axis.