The equations of four lines are given. Identify which lines are parallel.

Alison walks 2/5 mile from her house to the mailbox. Then she walks 1/3 mile to the bus stop. What is the total distance Alison

stealth61 [152]

Answer:

Total distance:

d=11/15 miles or 0.73 miles

Step-by-step explanation:

Alison walks 2/5 miles from her house to the mailbox.

Then she walks 1/3 mile to the bus stop.

Thus, the total distance can be calculated by adding the miles

i.e.

$d=\:\frac{2}{5}+\frac{1}{3}$

LCM of 5,3 is 15

$=\frac{6}{15}+\frac{5}{15}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}$

$=\frac{6+5}{15}$

$=\frac{11}{15}$

$=\:0.73$ miles

Thus,

Total distance:

d=11/15 miles or 0.73 miles

7 0

2 years ago

(-5, 4); slope-3<br> So what is the answer

inna [77]

Make a graph and start at the origin (0,0) count down 5 units and across to the right 4 units. Put a dot here. For every 1 unit the line moves to the right, it moves down 3.

4 0

2 years ago

F(m)=m^4-6m^3+5m^2+10m-4 at m=4

Alexandra [31]

Answer:

F(m) = -12

Step-by-step explanation:

Given the function:

$F(m)=m^{4}-6m^{3}+5m^{2}+10m-4$

When m = 4, we substitute the variable 'm' for the number 4:

$F(m)=4^{4}-6(4)^{3}+5(4)^{2}+10(4)-4$

F(m) = 256 - 384 + 80 + 40 - 4

F(m) = -12

6 0

2 years ago

Graph the image of this quadrilateral after a dilation with a scale factor of 4 centered at the origin

Brut [27]

Answer: The image is attached.

Step-by-step explanation:

A Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.

When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".

When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".

In this case we know that the scale factor is:

$scale\ factor=4$

Since:

$4>1$

It is an Enlargement.

You can identify that the vertices of the pre-image shown in the figure, are:

$(-2,1)\\\\(-1,2)\\\\(0,0)\\\\(-1,-2)$

So you need to multiply the coordinates of those vertices by 4 in order to get the coordinates of the image;

$((-2)(4),1(4))=(-8,4)\\\\((-1)(4),(2)(4))=(-4,8)\\\\((0)(4),(0)(4)=(0,0)\\\\((-1)(4),(-2)(4))=(-4,-8)$

Now you can draw it (The image is attached).

8 0

2 years ago

a business want to increase its number of employees by 65% to 20,460. How many employees does the company currently have?

Crazy boy [7]

Answer:

12,400

Step-by-step explanation:

Let the current employees be x

65% increase in number = 0.65x

If the total number of employees after the increase is 20,460, then;

x + 0.65x = 20,460

1.65x = 20,460

x = 20,460/1.65

x = 12,400

Hence the current number of employees is 12,400

5 0

2 years ago