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3 years ago

Which is a solution to the equation 6 x + y = 41, -10 2, -82, 81, 2

Mathematics

1 answer:

NISA [10]3 years ago

4 0

Answer:

1,-10 and 2,-8

Step-by-step explanation:

If you substitute each answer choice:

6+-10=4

12+-8=4

12+8=4

6+2=4

The only ones that would make sense are the first and second one.

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Find the value of x and show work

Oksana_A [137]

Step-by-step explanation:

35+35+x=180 (sum of interior angles of an triangle is 180

therefore

x=180-70

x=110

3 0

3 years ago

Find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3). express answer in standard form

Anestetic [448]

Answer:

Final answer is $x-6y=23$

Step-by-step explanation:

We need to find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3).

So first we need to find the slope of given line.

rewirite x=6y-5 in y=mx+b form

x+5=6y

$\frac{1}{6}x+\frac{5}{6}=y$

Compare given equation with y=mx+b

we get: m=1/6

We know that parallel equations has equal slope.

Then slope of required line m=1/6

Now plug the given point (5,-3) and slope m=1/6 into point slope formula:

$y-y_1=m\left(x-x_1\right)$

$y-(-3)=\frac{1}{6}\left(x-5\right)$

$y+3=\frac{1}{6}x-\frac{5}{6}$

$y=\frac{1}{6}x-\frac{5}{6}-3$

$y=\frac{1}{6}x-\frac{23}{6}$

Now we need to rewrite that equation in standard form. Ax+By=C.

6y=x-23

x-23=6y

x-6y=23

Hence final answer is $x-6y=23$

6 0

4 years ago

Factor completely 8x5 2x4 4x2. Prime 2(4x5 x4 2x2) 2x(4x4 x3 2x) 2x2(4x3 x2 2).

Alecsey [184]

The complete factor of the expression $\rm 8x^5 + 2x^4 + 4x^2$ is $\rm 2x^{2} (4x^3 + x^2 + 2 )$ correct option is D.

<h3>What is a factorization?</h3>

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The expression is $\rm 8x^5 + 2x^4 + 4x^2$ .

To solve the expression properly we have to take common (2x²). Then we have

$\rm 8x^5 + 2x^4 + 4x^2\\\\2x^{2} (4x^3 + x^2 + 2 )$

The factor is $\rm 2x^{2} (4x^3 + x^2 + 2 )$ .

More about the factorization link is given below.

brainly.com/question/6810544

4 0

2 years ago

The heart beats 103680 per year, how many heart beats per minute?

kompoz [17]

Answer:

Step-by-step explanation:

60 sec= 1 min

60min=1hour

24hours=1day

7days=1week

52 weeks =1 year

24x7= 168hours in a week

168hours x 52 =8736 hours in a year

8736x60=524160mins

524160mins= 1 year

the heart beats 103680 in a year

the heart will beat 524160/103680=5.05555555556 in a minute

6 0

3 years ago

A number decreased by fifteen is less than two.

Aliun [14]

Let us assume number of n.

The number is decreased by 15.

Decreasing by 15 means, we need to subtract 15 from that number.

So, it would be come n-15.

Now, it is said that the number would become less than 2.

So, we need to setup an inequality:

n-15 is less than 2.

Adding 15 on both sides, we get

n-15+15 < 2+15

n < 17.

<h3>So, we could say the number would be less than 17.</h3>

3 0

3 years ago