9514 1404 393
Answer:
14 units
Step-by-step explanation:
The angle bisector divides the sides proportionally.
BD/BA = CD/CA
(x+4)/8 = (2x+1)/12
3(x +4) = 2(2x +1) . . . . . multiply by 24 (the least common denominator)
3x +12 = 4x +2 . . . . . . . eliminate parentheses using the distributive property
12 = x +2 . . . . . . . subtract 3x
10 = x . . . . . . . . . subtract 2
Then the length of BD is ...
BD = x +4
BD = 10 +4 . . . . substitute the value of x
BD = 14
5x+14-2x=9-(4x+2)
3x+14=9-4x-2
3x+14=7-4x
7x+14=7
7x=-7
x=-1
Final answer: x=-1
Answer:
24
Step-by-step explanation:
m-n=16
when n=8
m-8=16
or,m=16+8
or,m=24
Answer: cotθ
<u>Step-by-step explanation:</u>
tanθ * cos²θ * csc²θ
=
=
= cotθ
Answer: B
<u>Step-by-step explanation:</u>
The parent graph is y = x²
The new graph y = -x² + 3 should have the following:
- reflection over the x-axis
- vertical shift up 3 units
Answers:
- a. Quadrant II
- b. negative
- c.
- d. C
- e.
<u>Explanation:</u>
a) Quadrant 2 is:
b) In Quadrant 2, cos is negative and sin is positive, so tan is negative
c) =
d) the reference line is above the x-axis so it is negative -->
e)
Answer: 6 m
This statement:
"Jared has run two-thirds of an 18-kilometer race" can be written as an equation:
This means two-thirds of 18 km is equivalent to 12 km
If we substract this value to the total, we have the values of the kilometers left to run:
Therefore the correct option is D