Y² - 12y + 32
The middle term must be written in such a way that the sum of two numbers is -12y and the product is 32y²
The two such numbers are -4y and -8y
So, we can write:
y² - 4y - 8y + 32
= y(y - 4) - 8(y - 4)
= (y - 4)(y - 8)
So, option B gives the correct answer
Answer:
∠ ABD = 49°, ∠ CBD = 28°
Step-by-step explanation:
∠ ABD + ∠ CBD = ∠ ABC , substitute values
3x + 22 + 5x - 17 = 77 , that is
8x + 5 = 77 ( subtract 5 from both sides )
8x = 72 ( divide both sides by 8 )
x = 9
Thus
∠ ABD = 3x + 22 = 3(9) + 22 = 27 + 22 = 49°
∠ CBD = 5x - 17 = 5(9) - 17 = 45 - 17 = 28°
Answer:
$32.10
Step-by-step explanation:
If you have sales tax, you would first convert the percentage to decimal, or 0.07. Then you would take this number, and add it to one before you multiply it by the price of the sweatshirt. This makes sure that you're not just calculating the sales tax, but the overall price of the shirt. So if you multiply:
30 x 1.07 = 32.1
Add the units, and you get $32.10
Hope this helps!
