Which of the following represents the factorization of the trinomial below?

Tell whether the ordered pair is a solution of the system of equations.

katovenus [111]

Answer:

2x + y = 5

y = 4x – 1

Substitute (2, 1) into system, then:

2x + y = 5 => 2 x 2 + 1 = 5 => 5 = 5 (satisfied)

y = 4x– 1 => 4 x 2 - 1 = 1 => -7 = 1 (not satisfied)

=> Option 3 is correct.

Hope this helps!

:)

8 0

3 years ago

There are 59 participants in a pie eating contest. Nadia placed third, and Johnny placed in the exact middle of all the particip

zepelin [54]

Answer:

27 students

Step-by-step explanation:

59/2

29.5

29.5 rounded up to 30

30-3

27 students

8 0

3 years ago

Martin sorted the bolts in his toolbox by size. They measured 3/8 inch, 1/2 inch,5/8 inch, 7/8 inch, and 1 1/4 inches . What is

LekaFEV [45]

The answere is 19/8 or 2 3/8

7 0

3 years ago

16 - 3x = 4 + x <br> solve please

likoan [24]

Answer:

x = 3

Step-by-step explanation:

Solution for 16-3x=4+x equation:

Simplifying

16 + -3x = 4 + x

Solving

16 + -3x = 4 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.

16 + -3x + -1x = 4 + x + -1x

Combine like terms: -3x + -1x = -4x

16 + -4x = 4 + x + -1x

Combine like terms: x + -1x = 0

16 + -4x = 4 + 0

16 + -4x = 4

Add '-16' to each side of the equation.

16 + -16 + -4x = 4 + -16

Combine like terms: 16 + -16 = 0

0 + -4x = 4 + -16

-4x = 4 + -16

Combine like terms: 4 + -16 = -12

-4x = -12

Divide each side by '-4'.

x = 3

Simplifying

x = 3Solution for 16-3x=4+x equation:

Simplifying

16 + -3x = 4 + x

Solving

16 + -3x = 4 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.

16 + -3x + -1x = 4 + x + -1x

Combine like terms: -3x + -1x = -4x

16 + -4x = 4 + x + -1x

Combine like terms: x + -1x = 0

16 + -4x = 4 + 0

16 + -4x = 4

Add '-16' to each side of the equation.

16 + -16 + -4x = 4 + -16

Combine like terms: 16 + -16 = 0

0 + -4x = 4 + -16

-4x = 4 + -16

Combine like terms: 4 + -16 = -12

-4x = -12

Divide each side by '-4'.

x = 3

Simplifying

x = 3Solution for 16-3x=4+x equation:

Simplifying

16 + -3x = 4 + x

Solving

16 + -3x = 4 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.

16 + -3x + -1x = 4 + x + -1x

Combine like terms: -3x + -1x = -4x

16 + -4x = 4 + x + -1x

Combine like terms: x + -1x = 0

16 + -4x = 4 + 0

16 + -4x = 4

Add '-16' to each side of the equation.

16 + -16 + -4x = 4 + -16

Combine like terms: 16 + -16 = 0

0 + -4x = 4 + -16

-4x = 4 + -16

Combine like terms: 4 + -16 = -12

-4x = -12

Divide each side by '-4'.

x = 3

Simplifying

x = 3

6 0

3 years ago

Find the values of x and y that make the quadrilateral a parallelogram

lana66690 [7]

For given parallelogram, the value of x = 114° and y = 66°

<h3>Explanation: </h3>

<em>(Refer figure)</em>

Given quadrilateral ABCD is a parallelogram.

m∠A = 66°

m∠B = x°

m∠C = y°

m∠D = 114°

Since by properties of parallelogram, the both pairs of opposite sides of a parallelogram are parallel.

Opposite angles of a parallelogram are congruent ...........................(1)

Consecutive angles of a parallelogram are supplementary ................(2)

Using (1) for given parallelogram ABCD; we get,

m∠B = m∠D

m∠A = m∠C

Therefore x = 114° and y = 66°.

Using (2) to check whether the two consecutive angles are supplementary.

( m∠A + m∠D ) = ( m∠B + m∠C ) = ( m∠C + m∠D ) = 66° + 114° = 180°

6 0

3 years ago