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3 years ago

Write the equation of the line that contains slope of 4 and a coordinate of (3,11)

Mathematics

1 answer:

k0ka [10]3 years ago

3 0

Answer:

y = 4x - 1

Step-by-step explanation:

To write the equation of a line using the slope and a point, use the point slope form $y - y_1 = m(x-x_2)$ .

Substitute m = 4 and (3,11).

y - 11 = 4 ( x- 3)

y - 11 = 4x - 12

y = 4x - 1

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On a trip, Duke encounters some road construction that slows him down. While he is able to go 60 mph on the highway and 40 mph t

natulia [17]

Answer:

Time taken by Duke on the highway = 3 hours

Time spent on the construction = 6 hours

Time spent in the city = 2 hours

Step-by-step explanation:

Speed by which Duke travels a distance on highway $d_1$ = 60 mph

Let the time taken to travel on highway = $t_1$ hours

Distance traveled = $60t_1$ miles

Speed in the city = 40 mph

Let the time taken = $t_2$ hours

Distance traveled in the city = $40t_2$ miles

Speed on the construction = 20 mph

Let the time spend on the construction = $t_3$ hours

Distance traveled on the construction = $20t_3$ miles

Since, total distance covered = 380 miles

$d_1+d_2+d_3=60t_1+40t_2+20t_3$

He spends one half the time on the highway as he does on the construction,

$t_3=2t_1$

Total time spent in the trip = 11 hours

Therefore, $t_1+t_2+t_3=11$

$t_1+t_2+2t_1=11$

$t_2=11-3t_1$

From equation (1),

$60t_1+40(11-3t_1)+20(2t_1)=380$

$60t_1-120t_1+40t_1+440=380$

$440-20t_1=380$

$20t_1=440-380$

$t_1=\frac{60}{20}$

$t_1=3$ hours

$t_2=11-3t_1=2$ hours

$t_3=2t_1=6$ hours

Therefore, time taken by Duke on the highway = 3 hours

Time spent on the construction = 6 hours

Time spent in the city = 2 hours

3 0

3 years ago

#15: Which point in the number line below represents the number opposite the number -5 1/2?

densk [106]

Answer: D

Step-by-step explanation:

You have -5 1/2 to find the complete opposite all you have to do is take away the negative sign and find the number on the number line.

Good luck !

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3 years ago

Over time, Bailey has buried 6 large bones and 9 small bones in a hole. What is the ratio of small bones to large bones in the h

Wewaii [24]

Answer:

3:2

Step-by-step explanation:

to write a ratio, we can do ?:? in order. for example, 5 big shops to 10 small shops would be 5:10 (we are going to simplify it later) You always have to put the ratio numbers in order like they are in the question. In this case, small bones : big bones. We get 9:6. We can then divide both sides by a common factor, in this case 3. The end result is 3:2. Hope this helps!

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2 years ago

Read 2 more answers

What is 2x +3y+6x+9y

shusha [124]

Combine like terms to get 2x + 6x which is 8x and 3y + 9y which is 12y so the simplified answer is 8x + 12y

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3 years ago

If m∠2=4x and m∠4=3x- 8. I have to fine m∠1

Blababa [14]

Answer:

Step-by-step explanation:

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3 years ago