The complete question is as follows.
The equation a =
can be used to determine the area , <em>a</em>, of a trapezoid with height , h, and base lengths,
and
. Which are equivalent equations?
(a) ![\frac{2a}{h} - b_2 = b_1](https://tex.z-dn.net/?f=%5Cfrac%7B2a%7D%7Bh%7D%20-%20b_2%20%3D%20b_1)
(b) ![\frac{a}{2h} - b_2 = b_1](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B2h%7D%20-%20b_2%20%3D%20b_1)
(c)
= ![b_1](https://tex.z-dn.net/?f=b_1)
(d) ![\frac{2a}{b_1 + b_2} = h](https://tex.z-dn.net/?f=%5Cfrac%7B2a%7D%7Bb_1%20%2B%20b_2%7D%20%3D%20h)
(e)
= h
Answer: (a)
; (d)
;
Step-by-step explanation: To determine
:
a = ![\frac{1}{2}(b_1 + b_2 )h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28b_1%20%2B%20b_2%20%29h)
2a = (
)h
![\frac{2a}{h} = b_1 + b_2](https://tex.z-dn.net/?f=%5Cfrac%7B2a%7D%7Bh%7D%20%3D%20b_1%20%2B%20b_2)
![\frac{2a}{h} - b_2 = b_1](https://tex.z-dn.net/?f=%5Cfrac%7B2a%7D%7Bh%7D%20-%20b_2%20%3D%20b_1)
To determine h:
a = ![\frac{1}{2}(b_1 + b_2 )h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28b_1%20%2B%20b_2%20%29h)
2a = ![(b_1 + b_2)h](https://tex.z-dn.net/?f=%28b_1%20%2B%20b_2%29h)
= h
To determine ![b_2](https://tex.z-dn.net/?f=b_2)
a = ![\frac{1}{2}(b_1 + b_2 )h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28b_1%20%2B%20b_2%20%29h)
2a = ![(b_1 + b_2)h](https://tex.z-dn.net/?f=%28b_1%20%2B%20b_2%29h)
![\frac{2a}{h} = (b_1 + b_2)](https://tex.z-dn.net/?f=%5Cfrac%7B2a%7D%7Bh%7D%20%3D%20%28b_1%20%2B%20b_2%29)
![\frac{2a}{h} - b_1 = b_2](https://tex.z-dn.net/?f=%5Cfrac%7B2a%7D%7Bh%7D%20-%20b_1%20%3D%20b_2)
Checking the alternatives, you have that
and
= h, so alternatives <u>A</u> and <u>D</u> are correct.
Answer:
y = -1/4x + 5
Step-by-step explanation:
Physical properties are anything that will change how it looks but not how it acts.
for example one could be a phase change. where water turns into steam. which is just water in gas form
another example would be pebbles are just rocks but crushed up.
and another physical change would dents. like if you hit a table and it got a dent. it's still a table just with a dent.
chemical changes change the actual way the chemical works.
the way you can tell is by if it gets heat or has a new property that wants their before.
some examples would be lighting wood on fire. it changes the composition of the wood and now it is no longer flammable.
another one would be burning magnesium. it becomes a new substance when you burn it.
the last example could be photsynthiss. you start with carbon and water and turn it into glucose and oxygen
Answer:
I think this ans may help you
Answer:
modulus just changed negative to positive so 5 minus 3 = 2