Answer:
Step-by-step explanation:
1. The answer is 8/35.
2. This works because 8/35 equals 22.857142857142858.
Please give me brainliest, I really need it! Thank you!
Answer:
![6 \sqrt{3}](https://tex.z-dn.net/?f=%206%20%5Csqrt%7B3%7D%20)
Step-by-step explanation:
You need to factor out the greatest perfect square factor possible.
![\sqrt{75} + \sqrt{3} =](https://tex.z-dn.net/?f=%20%5Csqrt%7B75%7D%20%2B%20%5Csqrt%7B3%7D%20%3D%20)
![= \sqrt{25 \times 3} + \sqrt{3}](https://tex.z-dn.net/?f=%20%3D%20%5Csqrt%7B25%20%5Ctimes%203%7D%20%2B%20%5Csqrt%7B3%7D%20)
![= \sqrt{25} \times \sqrt{3} + \sqrt{3}](https://tex.z-dn.net/?f=%20%3D%20%5Csqrt%7B25%7D%20%5Ctimes%20%5Csqrt%7B3%7D%20%2B%20%5Csqrt%7B3%7D%20)
![= 5 \sqrt{3} + \sqrt{3}](https://tex.z-dn.net/?f=%20%3D%205%20%5Csqrt%7B3%7D%20%2B%20%5Csqrt%7B3%7D%20)
![= 6 \sqrt{3}](https://tex.z-dn.net/?f=%20%3D%206%20%5Csqrt%7B3%7D%20)
A Quadrilateral A B C D in which Sides AB and DC are congruent and parallel.
The student has written the following explanation
Side AB is parallel to side DC so the alternate interior angles, angle ABD and angle BDC, are congruent. Side AB is equal to side DC and DB is the side common to triangles ABD and BCD. Therefore, the triangles ABD and CDB are congruent by SAS.
The student has also written
angles DBC and ADB are congruent and sides AD and BC are congruent. Angle DBC and angle ADB form a pair of alternate interior angles. Therefore, AD is congruent and parallel to BC. Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel.
Postulate SAS completely describes the student's proof.
Because if in a quadrilateral one pair of opposite sides are equal and parallel then it is a parallelogram.
I thought this would be simple, as I'm familiar with algebra and not really "The constant of proportionality," but I will do my best.
So this said "Constant of proportionality," is referring to basically the answers for the equation when X equals certain numbers.
Make a table of different answers when you plug in X and you get the 'Constant of proportionality.'
y = 2.5x + 3
y = 2.5(1) + 3
y = 2.5 + 3
y = 5.5
Since we plugged in 1 for X and got 5.5 for Y, our input and output is (1, 5.5)
Replace X for a different value, and you will get a bunch of different numbers that will in essence be your function inputs and outputs. Make a table of these and you have your answer.
EXAMPLE -
-= x =- -= y =-
-= 1 =- -= 5.5 =-
-= 2 =- -= 8 =-
-= 3 =- -= 11.5 =-
-= 4 =- -= 13 =-
So there you have it. I hope this helps! If you have any further questions, don't hesitate to ask.
x
4
+
50
x
2
+
625Rewrite
625
as
25
2
.
u
2
+
50
u
+
25
2
Check the middle term by multiplying
2
a
b
and compare this result with the middle term in the original expression.
2
a
b
=
2
⋅
u
⋅
25
Simplify.
2
a
b
=
50
u
Factor using the perfect square trinomial rule
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
, where
a
=
u
and
b
=
25
.
(
u
+
25
)
2
Replace all occurrences of
u
with
x
2
.
(
x
2
+
25
)
2