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Makovka662 [10]
3 years ago
14

What is the y-coordinate of the solution to this system of equations? 5x-8y=1 3x+6y=-21

Mathematics
1 answer:
Vanyuwa [196]3 years ago
6 0

5x-8y=1...(1)
3x+6y=-21...(2)

(1)*3:
15x-24y=3...(3)

(2)*5:
15x+30y=-105...(2)

(3)-(2):
15x-24y-(15x+30y)=3-(-105)
15x-24y-15x-30y=108
-54y=108
y=-2
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Show that if u+v and u-v are orthognal, then the vectors u and v must have the same length.
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Answer with Step-by-step explanation:

We are given that

u+ v and u-v are orthogonal

We have to prove that u and v must have the same length.

When two vector a and b are orthogonal then

a\cdot b=0

By using the property

(u+v)\cdot (u-v)=0

We know that

(a+b)\cdot (a-b)=\mid a\mid^2-\mid b\mid^2

\mid u\mid ^2-\mid v\mid^2=0

\mid u\mid^2=\mid v\mid^2

Magnitude is always positive

When power of base on both sides are equal then base will be equal

Therefore,

\mid u\mid=\mid v\mid

Hence, the length of vectors u and v must have the same length.

5 0
4 years ago
Create a 5th degree trinomial that has a constant term of 3.
erastovalidia [21]

Answer:

4x^5\:+\:9x^2\:+\:3 is a trinomial having three terms, with degree 5 and the constant term '3'.

Step-by-step explanation:

Considering the trinomial

4x^5\:+\:9x^2\:+\:3

As the polynomial contains 3 terms, so it is a trinomial.

As the highest power of the variable 'x' is 5, so the degree of this polynomial is 5.

Any term with no variable is called a constant term. so, 3 is a term with no variable. Therefore, the constant term is 3.

Therefore, 4x^5\:+\:9x^2\:+\:3 is a trinomial having three terms, with degree 5 and the constant term '3'.

8 0
3 years ago
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Inessa [10]

Answer:

Not a function

Step-by-step explanation:

Since 2 different points have the same x-coordinte, the relation is not a function.

8 0
2 years ago
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Gekata [30.6K]

The answer is B.

If a coin is flipped 14 times and lands on heads 10 times the fraction would equal to 10/14.

10/14 simplifies to 5/7.

3 0
3 years ago
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zepelin [54]

Answer:

A

Step-by-step explanation:

inscribed angle

5 0
3 years ago
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