Answer:
1 and 3 are both perpendicular to segment NY
Step-by-step explanation:
1. Find the slope of line NY
slope of NY = 5-(-7)/-11-5 = - 3/4
Any line that is perpendicular to NY should have a slope of the inverse of negative slope of NY.
2.Find the slope of perpendicular lines
the inverse of negative slope of NY = - (-4/3) = 4/3
Answer:
68°
Step-by-step explanation:
As BA⊥BD, so ∠ABD = 90°
also, ∠ABD = ∠CBD + ∠ABC
⇒ 90° = 4x + 52° + 8x - 10°
⇒ 12x = 48°
⇒ x = 4°
now,
∠CBD = 4x + 52°
= 4(4°) + 52°
= 68°
Answer:
together, they would stitch 36 shirts in 162 hours or 6 days and 18 hours
The easiest way to find the vertex is to convert this standard form equation into vertex form, which is y = a(x - h)^2 + k.
Firstly, put x^2 - 10x into parentheses: y = (x^2 - 10x) + 30
Next, we want to make what's inside the parentheses a perfect square. To do that, we need to divide the x coefficient by 2 and square it. In this case, the result is 25. Add 25 inside the parentheses and subtract 25 outside of the parentheses: y = (x^2 - 10x + 25) + 30 - 25
Next, factor what's inside the parentheses and combine like terms outside of the parentheses, and your vertex form is: y = (x - 5)^2 + 5.
Now going back to the formula of the vertex form, y = a(x - h)^2 + k, the vertex is (h,k). Using our vertex equation, we can see that the vertex is (5,5).
<span>If a=-2 and b=1, then
3a-2b
= 3(-2) -2(1)
= -6 -2
= -8</span>
