Answer:
y=6x+28
Step-by-step explanation:
y-y1=m(x-x1)
y-4=6(x-(-4))
y-4=6(x+4)
y=6x+24+4
y=6x+28
<span><span>1.
</span>A department store has a discount on shoes based
on percentage of price.
=> one pair of shoes marked down from 70 dollars to 49 dollars
=> let’s solve for the percentage rate.
=> 70 – 49 = 21, the than ½ of the price
=> 70 x 30% = 21
Thus, the percentage rate is 30%
For the pair of shoes that is 110 dollars
=> 110 * .30 = 33
=> 110 – 33 = 77
Thus, the price of pair of shoes is now 77 dollars.</span>
X = 10
The triangles are similar by SAS, so we can set up a proportion of their sides.
9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2
Reduce
3/8 = 12/3x+2
Cross multiply
3(3x+2) = 12*8
Distribute and multiply
9x + 6 = 96
Subtract 6
9x = 90
Divide by 9
x = 10
Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)
