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AVprozaik [17]
3 years ago
15

Which values for A and B will create infinitely many solutions for this system of equations

Mathematics
1 answer:
nikdorinn [45]3 years ago
8 0

Answer:

  A = 6, B = -15

Step-by-step explanation:

In order for there to be infinitely many solutions, the equations must be dependent. That is, one of them must be a multiple of the other. Here, the multiplier is apparently -1.

Comparing coefficients on the left, we see that the bottom equation has an x-coefficient that is the opposite of the one in the top equation. So, to make y-coefficients opposite, the top equation should read ...

  4x -6y = 15 . . . . . A = 6

Carrying that through, the bottom equation should read ...

  -4x +6y = -15 . . . . . B = -15

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The perimeter of parallelogram ABCD is 30 cm. AD is 3cm more than twice AB FIND THE LENGTH OF AB
Wittaler [7]

Answer:

4 cm

Step-by-step explanation:

Perimeter of a parallelogram is 2b+2h=30 where b is base and h is height.

if AD is 3cm more than twice AB, then it's 3+2x where x is length of AB.

Input this into the perimeter equation: 2(3+2x)+2(x)=30

Simplify to get 6+6x=30

x=24/6=4

Answer is 4 cm.

7 0
2 years ago
When simplifying 4x^3-10x^2+6x/2x^3+x^2-3x, what are the term(s) that can be cancelled
brilliants [131]

Answer:

x can be cancelled

Step-by-step explanation:

we are given

\frac{4x^3-10x^2+6x}{2x^3+x^2-3x}

Firstly, we will factor numerator and denominator

and then we can factor it

4x^3-10x^2+6x=2x(2x^2-5x+3)

4x^3-10x^2+6x=2x(2x+1)(x-3)

now, we can factor denominator

2x^3+x^2-3x=x(2x^2+x-3)

2x^3+x^2-3x=x(x-1)(2x+3)

now, we can replace it

\frac{4x^3-10x^2+6x}{2x^3+x^2-3x}=\frac{2x(2x+1)(x-3)}{x(x-1)(2x+3)}

we can see that

both terms are having x common

so, x can be cancelled

So,

x can be cancelled

3 0
3 years ago
Daniels mom gave him $8 for his allowance He wants to buy new shoelaces for his vans that cost $5. What percentage of his money
adell [148]
75% cus u divide the denominator by the numerator is 5 and 8
3 0
3 years ago
Can someone please help?
Ber [7]

Answer:

  (B)  26°

Step-by-step explanation:

The angle at A made by the radius and the tangent is 90°. The angle at O is the same as arc AB, 64°. The acute angles in a right triangle are complementary, so the angle at C is the complement of 64°.

∠ACB = 90° -64°

∠ACB = 26°

5 0
2 years ago
what is the value of c? enter your answer in the box. round only your final answer to the nearest whole number.
muminat

Answer:

c ≈ 21

Step-by-step explanation:

By applying cosine rule in the given triangle ABC,

c² = a² + b² - 2abcos(C)

c² = (17)² + (10)² - 2(17)(10)cos(98.8°)

c² = 289 + 100 - 340(-0.1530)

c² = 441.015

c = 21

c ≈ 21

4 0
3 years ago
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