Answer:
(9,9)
Step-by-step explanation:
Assuming the point is exactly halfway between A and B, to find it we just need to find the centre point between (4,8) and (14,10).
To find the midpoint, we just need to find the middle value, by dividing the difference between the x values by 2, and repeating the process with the y values.
This is because the point is in the middle, so it's y value will be in the middle of the given AB y values, and its x value will also be directly in the middle of the AB x values.
The x values are 4 and 14. The midpoint is
14-4=10
10/2=5 (the midpoint is 5 away from each reference point)
4+5=9
The midpoint is 9 for the x values. This means the x-value for the point is 9.
Repeat for y-values:
10-8=2
2/2=1
8+1=9
The midpoint is 9, therefore it has the y coordinate of 9.
Therefore the coordinates for the point are (9,9).
Hope this helped!
Answer: 180 houses
Step-by-step explanation:
From the question, we are informed that in a village the number of houses and the number of flats are in the ratio 9:5 while the number of flats and the number of bungalows are in the ratio 10:3 and that there are 30 bungalows in the village.
Since the ratio of the number of flats and the number of bungalows are in the ratio 10:3 and there are 30 bungalows in the village, the number of flats will be:
= 10/3 × 30
= 10 × 10
= 100 flats
Since we are told that the ratio of the number of houses to the number of flats are in the ratio 9:5 and we've gotten the number of flats as 100, then the number of houses will be:
= 9/5 × 100
= 9 × 20
= 180 houses
X=y+3
<span>-5x-4y=<span>30
-------------------
Substitute y + 3 for x in </span></span>-5x-4y=30
<span><span>-5<span>(y+3)-</span></span>4y</span>=<span>30
</span>-9y-15=<span>30
</span>----------------------------
Add 15 to each side
<span><span>-9y-15</span>+15</span>=<span>30+<span>15
-9y = 45
</span></span>-----------------------------------
Divide each side by -9
-9y ÷ -9 = 45 ÷ -9
y = -5
Now we solve for x
====================================================================
Substitute -5 for y in x = y + 3
x=-<span><span>5</span>+<span>3
</span></span>x = -2
----------------------
(-2,-5) is your answer
Answer:
(-4,-3,-2,-1,0,1,2)
Step-by-step explanation:
..........i hope it is............
