<span>y − 1 = 4(x + 3)
y - 1 = 4x + 12
y = 4x + 13, slope = 4
parallel lines, slope is the same so slope = 4
</span><span>passes through the point (4, 32)
</span>y = mx+b
b = y - mx
b = 32 - 4(4)
b = 32 - 16
b = 16
equation
y = 4x + 16
<span>C) A markup has no limit, but a markdown is limited to 100% or less.
[ It is because, markup is </span><span>the amount added to the cost price of goods to cover overheads and profit so it could be anything, and has no limit then, markdown means is reduction in price which acts like "discount" which can't be more than 100% (It's own price)
Hope this helps!</span>
X²＋7x－30
＝x²＋10x－3x－30
＝x(x＋10)－3(x＋10)
＝(x＋10)(x－3)
Hope my answer helped u :)
9514 1404 393
Answer:
72
Step-by-step explanation:
The triangles are said to be similar. (ΔNPQ ~ ΔRSQ) That means corresponding sides have the same ratio:
NP/RS = NQ/RQ = PQ/SQ = 24/32 = 21/28 = 3/4
This ratio, or scale factor, also applies to the perimeters of the two triangles.
perimeter NPQ / perimeter RSQ = 3/4
Using the given expressions for the perimeters, we have ...
(7x +2)/(10x -4) = 3/4
We can solve this equation in the usual way to find the value of x. Then we can use that value to find the perimeter of ΔNPQ.
4(7x +2) = 3(10x -4) . . . . . multiply both sides by 4(10x -4)
28x +8 = 30x -12 . . . . . eliminate parentheses
20 = 2x . . . . . . . . . . . add 12-28x to both sides
10 = x . . . . . . . . . . . divide both sides by 10
The perimeter of ΔNPQ is ...
7x +2 = 7(10) +2 = 72
The perimeter of triangle NPQ is 72 units.
Answer:
<u>5, 18, 44, 96, 200</u>
Step-by-step explanation:
<u>Given</u>
<u>First term</u> : 5
<u>Second term</u> : a₂ = 2(a₁ + 4)
- a₂ = 2(5 + 4) = 2(9) = 18
<u>Third term</u> : a₃ = 2(a₂ + 4) = 2(18 + 4) = 2(22) = 44
<u>Fourth term</u> : a₄ = 2(a₃ + 4) = 2(44 + 4) = 2(48) = 96
<u>Fifth term</u> : a₅ = 2(a₄ + 4) = 2(96 + 4) = 2(100) = 200
Hence, the first 5 terms of the sequence are :
- <u>5, 18, 44, 96, 200</u>
