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IgorLugansk [536]
3 years ago
12

Help plz!!!!!!!!!!!!!

Mathematics
1 answer:
DedPeter [7]3 years ago
6 0
First part
Determine 2 points that pass through x + 2y = 5

(i) If x = 1
x + 2y = 5
1 + 2y = 5
2y = 4
y = 2

(ii) If x = 3
x + 2y = 5
3 + 2y = 5
2y = 2
y = 1

Two points that pass through this line are (1,2) and (3,1)

Second part
Determine 2 points that pass through 3x = 15 - 6y

(i) If x = 1
3x = 15 - 6y
3(1) = 15 - 6y
3 = 15 - 6y
6y = 15 - 3
6y = 12
y = 2

(ii) If x = 3
3x = 15 - 6y
3(3) = 15 - 6y
9 = 15 - 6y
6y = 15 - 9
6y = 6
y = 1

Two points that pass through this line are (1,2) and (3,1)

BOTH OF THE LINE pass through the same two points, that means the lines are the same because they overlap. Look at the attachment.

You might be interested in
Select whether the equation has a solution or not.<br> √x = 7
Ierofanga [76]

Answer:

x = 49

The equation does have a solution

Step-by-step explanation:

The sqrt of x = 7, does have a solution. Simply remove the radical, and raise each side by the index of the radical.

In more basic terms, what number has the sqrt of 7? 7^2 is equal to 49!

6 0
3 years ago
5/9+1/9 in simplest form. Explain.
Lana71 [14]

Answer:

2/3

Step-by-step explanation:

5/9 + 1/9

= 6/9

= 2/3 in simplest form

8 0
3 years ago
Can someone help me
MArishka [77]

Answer:

ok

Step-by-step explanation:

9+10=21

5 0
3 years ago
A boat on a river travels downstream between two points, 90 mi apart, in 1 h. The return trip against the current takes 2 1 2 h.
docker41 [41]

Answer:

A)63miles per hour.

B)27 miles per hour

Step-by-step explanation:

HERE IS THE COMPLETE QUESTION

boat on a river travels downstream between two points, 90 mi apart, in 1 h. The return trip against the current takes 2 1 2 h. What is the boat's speed (in still water)??b) How fast does the current in the river flow?

Let the speed of boat in still water = V(boat)

speed of current=V(current)

To calculate speed of boat downstream, we add speed of boat in still water and speed of current. This can be expressed as

[V(boat) +V(current)]

It was stated that it takes 1hour for the

boat to travels between two points of 90 mi apart downstream.

To calculate speed of boat against current, we will substact speed of current from speed of boat in still water. This can be expressed as

[V(boat) - V(current)]

and it was stated that it takes 2 1/2 for return trip against the Current

But we know but Speed= distance/time

Then if we input the stated values we have

V(boat) + V(current)]= 90/1 ---------eqn(1)

V(boat) - V(current) = 90/2.5----------eqn(2)

Adding the equations we have

V(boat) + V(current) + [V(boat) - V(current)]= 90/2.5 + 90/1

V(boat) + V(current) + V(boat) - V(current)]=90+36

2V(boat)= 126

V(boat)=63miles per hour.

Hence, Therefore, the speed of boat in still water is 63 miles per hour.

?b) How fast does the current in the river flow?

the speed of the current in the river, we can be calculated if we input V(boat)=63miles per hour. Into eqn(1)

V(boat) + V(current)]= 90/1

63+V(current)=90

V(current)= 27 miles per hour

Hence,Therefore, the speed of current is 27 miles per hour.

7 0
3 years ago
Kate has a coin collection. She keeps 7 of the coins in a box which is only 5% of her entire collection.
Vadim26 [7]

Answer:

She has 140 coins in total.

Step-by-step explanation:

Since 7 coins is only 5% of the entire collection, 7 coins=5%. 100% is the total. So first you need to divide 100 by 5 which is 20 (100÷5=20). Next, you need to multiply 20 by 7 (20×7=140) to find out how much coins she has in total.

Hope this helps you!

4 0
3 years ago
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