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2 years ago

8

What is the slope of the line?

2 answers:

Rufina [12.5K]2 years ago

5 0

The answer is -3. Hope this helps

erik [133]2 years ago

4 0

Down 3 over 1
aka -3 is the slope
<span>Your first point is (1,4) The second is (2,1). Use the formula
y-y
x-x = slope
4-1
1-2 = slope
3
-1
3/-1 equal to -3</span>

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A car travels for 4(t+3) hours at a constant speed of 10(t+3) km/h. If the total distance travelled by the car is 810 km, find t

IceJOKER [234]

Step-by-step explanation:

$\because \: time \times speed = distance \\ \therefore \: 4(t + 3) \times 10(t + 3) = 810 \\ \therefore \: 4(t + 3)^{2} = 81 \\ \therefore \: \{2(t + 3) \}^{2} = {9}^{2} \\ \therefore \: \{2(t + 3) \} = {9} \\ \therefore \: t + 3 = \frac{9}{2} \\ \therefore \: t = \frac{9}{2} - 3 \\ \therefore \: t = \frac{9 - 6}{2} \\ \therefore \: t = \frac{3}{2} \\ \therefore \: t = 1.5 \: hrs \\$

$\because \: time \times speed = distance \\ \therefore \: 4(t + 3) \times 10(t + 3) = 810 \\ \therefore \: 4(t + 3)^{2} = 81 \\ \therefore \: \{2(t + 3) \}^{2} = {9}^{2} \\ \therefore \: \{2(t + 3) \} = {9} \\ \therefore \: t + 3 = \frac{9}{2} \\ \therefore \: t = \frac{9}{2} - 3 \\ \therefore \: t = \frac{9 - 6}{2} \\ \therefore \: t = \frac{3}{2} \\ \therefore \: t = 1.5 \: hrs \\ speed \: of \: car = 10(t + 3) \\ \hspace{60 pt} = 10(1.5 + 3) \\ \hspace{60 pt}= 10 \times 4.5 \\ \red{ \boxed{ \bold{ \therefore \: speed \: of \: car = 45 \:km/ h}}} \\$

3 0

3 years ago

A bus is travelling from Addis Ababa to Ambo. It travels 43 km in the first hour

zhuklara [117]

<h3>Answer: 43 km per hour</h3>

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

Work Shown:

total distance = 43+40+46 = 129 km

total time = 1+1+1 = 3 hours

average speed = (total distance)/(total time)

average speed = (129 km)/(3 hrs)

average speed = (129/3) (km/hr)

average speed = 43 km per hour

8 0

2 years ago

Read 2 more answers

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Blababa [14]

Hopefully these are correct lol, make sure to check it with a classmate. but i tried :)

6 0

3 years ago

Need help on this test fast

vfiekz [6]

Answer:

0?

Step-by-step explanation:

6 0

2 years ago

HELP ME ON THIS PLEASE!!!! SHOW WORK!!!!

Mumz [18]

Answer:

<h2>1. x = 4</h2><h2>2. x = 20</h2>

Step-by-step explanation:

1.

ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:

$\dfrac{AC}{AJ}=\dfrac{AB}{AK}$

We have:

AC = 1 + 4 = 5

AJ = 1

AB = 1 + x

AK = 1

Substitute:

$\dfrac{5}{1}=\dfrac{1+x}{1}$

$5=1+x$ <em>subtract 1 from both sides</em>

$4=x\to x=4$

2.

ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:

$\dfrac{VU}{VM}=\dfrac{VT}{VN}$

We hve:

VU = x + 8

VM = x

VT = 49

VN = 49 - 14 = 35

Substitute:

$\dfrac{x+8}{x}=\dfrac{49}{35}$ <em>cross multiply</em>

$35(x+8)=49x$ <em>use the distributive property a(c + b) = ab + ac</em>

$35x+280=49x$ <em>subtract 35x from both sides</em>

$280=14x$ <em>divide both sides by 14</em>

$20=x\to x=20$

3 0

3 years ago