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By the number of sides they have:
• - all sides have lengths
• - sides have lengths
• - sides are

type of triangle has the side lengths of ,, is triangle
type of triangle has the side lengths of ,,is triangle
type of triangle has the side lengths of ,, is triangle
What type of triangle has the side lengths of ,, is triangle

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Let .
Express in terms of .

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a)
........eq. 1
........eq. 2
........eq. 3
________________________
........eq. 1 ..both multiply: eq1 by 3, eq 2 by 2
........eq. 2
........eq. 1
........eq. 2 .......subtract
______________________


......eq. 1a

........eq. 2 ...both multiply: eq2 by 5, eq 3 by 3
........eq. 3
________________________
........eq. 2
........eq. 3
________________________.......subtract


......eq. 2a
take eq. 1a and 2a
......eq. 1a....both multiply: eq1a by 11, eq 2a by 5
......eq. 2a
_____________________________
......eq. 1a.
......eq. 2a
_____________________________...add






now go back to ......eq. 1a., plug in and solve for







now go back to ........eq. 1., plug in and and solve for
........eq. 1








b)
........eq. 1
.............eq. 2
........eq. 3
________________________
........eq. 1 ..multiply: eq1 by 3,
........eq. 3 ...subtract
______________________


.........................eq. 1a
take
.........................eq. 1a
.............eq. 2 ............multiply by and subtract
______________________________
.........................eq. 1a
.............eq. 2
____________________________subtract





go back to
.............eq. 2 , plug in and solve for




go to ........eq. 1 plug in and and solve for

.

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1) solve for X:



........answer


2) ...if denominator same, just subtract numerators




.....factor denominator

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To do these ask yourself three questions.
1. What is the base? Answer:
2. What is the exponent? Answer:
3. What is the result? Answer:
Now remember this: log means .
So you should write:
.....put in the exponent
....then you should put in the base:
...then you should put in the result:

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...write as
....group

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if
than
....solve for

.....use quadratic formula

...note, , , and















solutions:




or

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To find the exterior angle you divide by the number of sides.
enneagon or nonagon, sides, so the exterior angle is

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......1
.......2
.......3
=?,=?,=?

I am going to find ,,

start with ......1...solve for

......plug it in 2

.......2

....both side multiply by
....solve for

........plug in 3

.......3
.......solve for


.......both sides multiply by



.........now find C













and now find











since you need ,,, your solutions are:

and



check:
......1
......1

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.....raise both sides to the power of two

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...write as

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+ % = ...write % as fraction

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....this is true if
if , than or
if ...=>......=>...

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Asymptotes of a hyperbola are the lines that pass through center of the hyperbola and touch the hyperbola.
....since denominator cannot be zero we will find that value of that makes it equal to zero
...=>......=>......this is coordinate of the center and asymptote
now find value for center
....=>..
so, coordinate is

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measurement angle PRS in square PQRS:
you already know that square has four right angles; so, angle PRS in square PQRS is °

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formula for circle is:
where and are coordinates of the center, and is the radius
you are given: center at (, ) and diameter
(, )=(, ); so, and
and we know that ..=>..
now, when you have , , and , plug it in formula

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if Simone has $ to buy baseballs for her team's practice, she can spend $ or less
if each baseball costs $ she can buy baseballs and that should be $ or less
find how many baseballs you can buy:

...you can buy baseballs
so, your answer is choice C.

I am not quite sure is choice D. 3b < 39 is correct or you made mistake because is same as C.

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using base we have

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you tried this:

..this is incorrect not
try it this way:

....since exponents same, bases are same to, so we have
.....solve for


check:

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you did good job, now just use quadratic formula to solve for
..note that coefficient , and
...plug coefficients in



......you have sqrt of negative number and that means there is no real solutions only imaginary and graph will not intersect with x-axis, and solutions are complex numbers
......write as

...since we have




solutions:


or

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solutions: and

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if , , and are angles of a triangle, then
....solve for

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given:
The sum of the squares of the solution is .
Find: the value of
first find the solution using quadratic formula
.....note that coefficient , and
...plug in coefficients












solutions involving :
or
since given the sum of the squares of the solution is , we have













or

check:
...plug in value for
if


........find solutions




solutions:



and



if we do second solution above we will get and
so, solutions of the are:
and
or
and
now check if the sum of the squares of the solution is :


......true
or


......true

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.....first factor out
.......write as
....group

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assuming that distance is same, first find the distance if car travels for



if car travels same distance for hours we have

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If we start with an even number and each number in the sequence is more than the previous number then we will get .
Let be first even number, than is second and third consecutive number.
Their sum is:
...solve for






.....first even number
.....second even number
.....third even number
so,the largest of the three integers is