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3 years ago

Determine if the equations are intersecting, parallel, or coincident.

1 answer:

6 0

Since bx does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting bx from both sides.
-ay=-bx+2 
ax+by=3 

Divide each term in the equation by -1a. 
y=(bx-2)/(a) 
ax+by=3 

Divide each term in the numerator by the denominator. 
y=(bx)/(a)-(2)/(a) 
ax+by=3 

The equation is not linear, so the slope does not exist. 
No slope can be found. 
ax+by=3 

Since ax does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting ax from both sides. 
No slope can be found. 
by=-ax+3 

Remove the common factors that were cancelled out. 
No slope can be found. 
y=-(ax)/(b)+(3)/(b) 

Divide each term in the equation by b. 
No slope can be found. 
y=(-ax+3)/(b) 

Divide each term in the numerator by the denominator. 
No slope can be found. 
y=-(ax)/(b)+(3)/(b) 

The equation is not linear, so the slope does not exist. 
No slope can be found. 
No slope can be found. 

Compare the slopes (m) of the two equations. 
m1=, m2= 

The equations are parallel because the slopes of the two lines are equal.
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According to company records, 128 of 460 employees purchase health insurance through the company. The chief human resources offi

Doss [256]

Answer:

$\dfrac{128}{460}\times 100 \approx \bold{27.83\%}$

Step-by-step explanation:

Given that:

Number of employees who purchased health insurance through the company = 128

Total number of employees = 460

To find:

Expression to find out the percentage of employees that purchase health insurance through the company ?

Solution:

Percentage of employees that purchase health insurance through the company:

$\dfrac{\text{Number of employees that purchase health insurance through the company}}{\text{Total number of employees}}\times 100$

= $\dfrac{128}{460}\times 100 \approx \bold{27.83\%}$

4 0

3 years ago

Help this is due tomorrow please! Carter has 88 feet of fencing to enclose a dog pen in his yard. He is trying to decide whether

svet-max [94.6K]

<h3>Answer:</h3>

The circle makes the larger area

The difference in the two areas is roughly 132.2479 square feet.

=================================================

Explanation:

If Carter decides to go for a circle, then 88 is the circumference, which is the distance around the circle (aka perimeter of the circle).

Use this to find the radius needed

C = 2*pi*r

r = C/(2pi)

r = 88/(2pi)

r = 44/pi

I'll leave it in exact form rather than approximate it.

Once we know the radius, we can find the area of the circle.

A = pi*r^2

A = pi(44/pi)^2

A = pi*(1936/(pi^2))

A = 1936/pi

A = 616.247939651819 approximately

I used my calculator's stored version of pi to compute the area in the final step.

We'll be comparing this number later, so hold onto it for now.

-------------------------------------

If Carter instead decides for a square, then 88 is the perimeter since it's the amount of fencing he has to work with.

Divide it into 4 pieces to find the length of each side of the square (all sides are equal in a square)

88/4 = 22

Each side is 22 feet

The area of this square is (22)^2 = 22*22 = 484 square feet

--------------------------------------

Summary:

If Carter goes for a circular enclosure, then he gets roughly 616.2479 square feet.
The square enclosure only gets him exactly 484 square feet.

The circle wins in terms of larger area.

The difference being roughly 616.2479 - 484 = 132.2479 square feet.

3 0

3 years ago

B is the midpoint of AC and E' is the midpoint of BD. If A(-9,-4), C(-1, 6), and E(-4,-3), find the coordinates of D.

Ipatiy [6.2K]

The coordinates for D are (-4, -7)

First we must locate point B as it is vital to finding the midpoint of BD. To do this, we take the average of the endpoints AC since B is its midpoint.

x values = -9 + 1 = -8
Then divide by 2 for the average -8/2 = -4

y values = -4 + 6 = 2
Then divide by 2 for the average 2/2 = 1

Therefore B must be (-4, 1)

Now we know the values of E must be the average of B and D. So we can write equations for each coordinate since we know they are averages.

x - values = (Bx + Dx)/2 = Ex
(-4 + Dx)/2 = -4 ---> multiply both sides by 2
-4 + Dx = -8 ---> add -4 to both sides
Dx = -4

y - values = (By + Dy)/2 = Ey
(1 + Dy)/2 = -3 ---> multiply both sides by 2
1 + Dy = -6 ---> subtract 1 from both side
Dy = -7

So the coordinates for D must be (-4, -7)

5 0

3 years ago

Read 2 more answers

Rearrange x - y + 1 = 0

Deffense [45]

Answer:

y=x+1

or x=y-1

Step-by-step explanation:

5 0

3 years ago

urgent! i need an explanation please *picture included* also can someone make sure the second one is b or not?

Schach [20]

Answer:

For the first one it is D.

Step-by-step explanation:

I added 84.6 and 30.4 which gives me 115. I then added 66 to get 181, triangles angles only add up to 180 degrees, therefore they are not similar.

6 0

3 years ago