Which expression gives the distance between the points<br> (-3, 4) and (6,-2)?

Tom and Lisa wanted to improve their yard by planting daylilies and shrubs. They bought 3 daylilies and 5 shrubs for $46. The da

atroni [7]

Answer:

Daylillies= $7 each Shrubs $5 each

Step-by-step explanation:

5 0

3 years ago

a car can travel 540 miles in the same time it takes a bus to travel 180 miles. if the rate of the bus is 40 miles per hour slow

nadezda [96]

Answer:

$\large \boxed{\text{ Car = 60 mi/h: bus = 20 mi/h}}$

Step-by-step explanation:

A. Car rate

Let c = the car rate

Then c - 40 = bus rate

Distance = rate × time

Time = distance/rate

$\begin{array}{rcll}\dfrac{540}{c} & = & \dfrac{180}{c - 40} & \\\\\dfrac{540(c - 40)}{c} & = & 180 &\text{Multiplied each side by 180 - c}\\\\540(c - 40) & = & 180c & \text{Multiplied each side by c}\\540c - 21600 & = & 180c & \text{Distributed the 540}\\360c -21600 & = & 0 & \text{Subtracted 180c from each side}\\\end{array}\\$

$\begin{array}{rcll}360c & = &21600 &\text{Added 21600 to each side}\\c & = & \dfrac{21600}{360} & \text{Divided each side by 360}\\\\c & = & 60 &\text{Simplified}\\\end{array}\\\text{The average rate of the car is $\large \boxed{\textbf{60 mi/h}}$}$

B. Bus rate

$\text{Bus rate} = c - 40 =60 - 40 = \mathbf{20}\\\text{The average rate of the bus is $\large \boxed{\textbf{20 mi/h}}$}$

Check:

$\begin{array}{rcl}\dfrac{540}{60} & = & \dfrac{180}{20}\\\\9 & = & 9\\\end{array}$

OK.

8 0

3 years ago

Use diagram to answer 3(x+6)=30

Katyanochek1 [597]

Answer:

Step-by-step explanation:

3x + 18 = 30

3x + 18 -18 = 30 - 18

3x = 12

x = 4

5 0

3 years ago

Read 2 more answers

How do you do 43? I'm really confused.

Sunny_sXe [5.5K]

Remove parenthesis on m-2 because you don't need to distribute ( you have an invisible 1, but it won't change the values bc it's a one) Combine your like terms on the side you removed the parenthesis. m-2-5 -> m-7. Now on the other side distribute the 2 to the terms in the parenthesis. once you've done that your equation should look like this 8- 2m +8. now lets look at th full equation. m-7=8-2m+8 move the -2m to the other side, by adding. you now have an equation like this 3m- 7=16. move the -7 to the other side by adding. 3m=23. divide 23 by 3. you're answer should be m= 23/3
its best to leave your answer as a fraction.
Hope this helped. (:

8 0

3 years ago

Write the point-slope form of the line that passes through the origin and is parallel to a line with a slope of 2. include all o

Vaselesa [24]

<span>Point slope form is (y - y1) = m(x - x1), where m is a slope of 2, and x1 = 0 and y1 = 0 are our point at the origin. Therefore, we can plug in these values to get the point slope equation for our line: (y â€“ 0) = 2*(x - 0)</span>

3 0

3 years ago

Read 2 more answers

Which expression gives the distance between the points (-3, 4) and (6,-2)?