If the whole angle (ABC) is equal to 133, we can add angles ABD and DBC to find x.
10x+13=133
Subtract 13 from both sides to get
10x=120
Divide both sides by 10 to get that x=12
We can now plug the value of x into ABD to find its measure.
7(12)+4
Simplifies to 84+4, which is 88
So angle ABD is equal to 88 degrees.
:)
All real numbers greater than or equal to -3
The answer is Step 2.
The exponential equation is: 3ˣ⁺¹ = 15.
Step 1: log3ˣ⁺¹ = log15
Step 2: (x + 1) * log3 = log15
Step 3: x + 1 = log 15 / log 3
Step 4: x + 1 = 1.18 / 0.48
Step 5: x + 1 = 2.46
Step 6: x = 2.46 - 1
Step 7: x = 1.46
To find the discount, multiply 60 by .2, which is 12. Now subtract 12 from 60. The trousers should cost $48 now because the cost has been reduced by 20% of 60, which is $12.
Ok
so the focus is on the opening side of the parabola
so for a vertex of (h,k)
opening up and down
(x-h)²=4p(y-k)
p is the distance from vertex to focus
it is also the distance from the vertex to the closes point on directix
2p=distance from focus to directix
p is positive if the focus is above the directix
ok
y=9 and (7,6)
9>6
directix is above the vertex
p is negative
find distance
from 9 to 6 is 3
3=2p
1.5=p
p is negative
and the vertex will be 1.5 above the focus and 1.5 below the directix
vertex is (7,7.5)
(x-7)²=4(-1.5)(y-7.5) is de equation
