Which types of lines match these equations? 3x + 2y = -5 -2x + 3y = -5

Mathematics

2 answers:

alexandr1967 [171]3 years ago

6 0

Im pretty sure that those would be parallel lines

Nostrana [21]3 years ago

6 0

First, subtract 2y from the first equation. This makes:
3x=-2y-5
Next, add 5
3x+5=-2y
Finally, divide each side by two. You would do these steps because you want to find out what the slopes and y intercepts are.

-3/2x-5/2=y
y=-3/2x-5/2

Do the same thing to the other equation. You should get:

-2x+3y=-5
-2x=-3y-5
-2x+5=-3y
Finally, divide by -3 on both sides:

2/3x-5/3=y
y=2/3x-5/3

Finally, compare the two lines.

y=-3/2x-5/2
y=2/3x-5/3

The two lines are perpendicular because the slopes are total opposites from each other. One is negative and the other is positive, and the fraction on both of them is the reverse of the other. These two things are what makes the line perpendicular. For the line to be parallel, both the slopes would have to be the same thing

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Identify the trinomial that is a perfect square. 81x^2 − 70x 16 64x^2 − 90x 25 81x^2 − 72x 16 64x^2 − 70x 25

Vilka [71]

Hmm
(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2

basically
for
ax^2+bx+c
it is a perfect trinomial when
b=2(√a)(√c)
remember to take both positive and negative roots into consideration
because
(a+b)^2=a^2+2ab+b^2 and
(a-b)^2=a^2-2ab+b^2

see each

first one
-70=2(9)(4)
-70=72
false

second
-90=2(8)(5)
-90=80
false

third
-72=(9)(4)
-72=72
false
but, the last one could be negative
(9x-4)^2 is factor
that is the answer

the answer is 81x^2-72x+16

5 0

3 years ago

There are seven cats in my neighborhood, with an average of $41$ whiskers each. If one of the cats has $17$ whiskers, how many w

harkovskaia [24]

Answer:

Each of the other cats have 45 whiskers on average.

Step-by-step explanation:

Let x represent the average number of whisker of each cat.

We have been given that there are 7 cats in my neighborhood, with an average of 41 whiskers each.

The total number of whiskers of six cats would be $6x$ .