Answer:
y=8x-29
Step-by-step explanation:
Since we know the slope (m) is 8, we can plug it in the slope-intercept formula y=mx+b, making y=8x+b.
Now we need to find the y-intercept (b). To do that, you would need to plug in the points given to you, which were (4,3).
x=4, y=3... so 3=8(4)+b
Now you can solve for the variable b to find the y-intercept.
3=8(4)+b, multiply...
3=32+b, subtract 32 on both sides...
-29=b
Therefore, the y-intercept, or b, is -29.
The equation would be y=8x-29
Step-by-step explanation:
3 balloons + 2 cakes = £19
=> 9 balloons + 6 cakes = £57 (multiply by 3)
9 balloons + 6 cakes = £57
- (9 balloons + 3 cakes = £42)
=> 3 cakes = £15, 1 cake = £5.
Therefore 3 balloons + 2(£5) = £19,
3 balloons = £9, 1 balloon = £3.
Hence each balloon is £3 and each cake is £5.
1) we calculate the area of the swimmning pool
area of this swimming pool=(22ft)(28 ftt)=616 ft².
2) we calculte the total area of the swimming pool + area of the walkway
Total area=area of the swimming pool + area of the wakway
Total area=616 ft²+336 ft²=952 ft².
3) we can suggest this equation :
x=width
(22+2x)(28+2x)=952
616+44x+56x+4x²=952
4x²+100x-336=0
x²+25x-84=0
x=[-25⁺₋√(625+366)]/2=(-25⁺₋31)/2
we have two solutions:
x₁=(-25-31)/2=-28 this solution is not valid.
x₂=(-25+31)/2=3
Answer: the width of the walkway is 3 ft.