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1 year ago

Please help ASAP

Mathematics

1 answer:

GaryK [48]1 year ago

6 0

Answer:

Any value of k

Step-by-step explanation:

The quadratic expression can be factored into two binomials if it has two real roots.

<u>Two real roots possible with non-negative discriminant:</u>

D ≥ 0

As D = b² - 4ac, we get the following inequality

k² - 4(3)(-8) ≥ 0
k² + 96 ≥ 0
k² ≥ - 96

This is true for any value of k

k ∈ (- ∞, + ∞)

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The width of a rectangle is 5n - 3.5 feet and the length is 3.5n + 9 feet. Find the perimeter of the rectangle.

juin [17]

Answer:

17n+11

Step-by-step explanation:

Formula For Perimeter Of Rectangle: 2(Length) + 2(Width)

Length = 3.5n + 9

Width = 5n - 3.5

____________________________________________________

-> 2(Length) + 2(Width)

-> 2(3.5n+9) + 2(5n-3.5)

*distribute*

-> (7n+18) + (10n-7)

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->7n+18+10n-7

->17n-11

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2 years ago

What is the estimated difference? Round each number to the nearest hundred thousand before finding the difference? 3,661,528 – 1

solmaris [256]

3,700,000-1,700,000=2,000,000

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2 years ago

Pentagon TEXAS has vertices at T(1, 8), E(3, 8), X(6, 2), A(3, 2), and S(1, 4). What is the area of Pentagon TEXAS?

Tamiku [17]

The area of the pentagon is 19 square units

The coordinates of the pentagon are given as:

$T = (1, 8)$

$E =(3, 8)$

$X =(6, 2)$

$A=(3, 2)$

$S = (1, 4)$

The area of the pentagon is then calculated using:

$Area = \frac 12|(x_1y_2+x_2y_3+x_3y_4+x_4y_5+x_5y_1) -(y_1x_2+y_2x_3+y_3x_4+y_4x_5+y_5x_1)|$

So, we have:

$Area = \frac 12|(1 \times 8 +3 \times 2+6\times2+3 \times 4 + 1 \times 8) -(8\times3+8\times6+2\times3+2\times1+4\times1)|$

Simplify the expressions in both brackets

$Area = \frac 12|46 -84|$

$Area = \frac 12|-38|$

Remove absolute bracket

$Area = \frac 12 \times 38$

$Area = 19$

Hence, the area of the pentagon is 19 square units

Read more about areas at:

brainly.com/question/1423568

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1 year ago

Please Help Identify each angle pair. Choose from the list below.

Slav-nsk [51]

Answer:

The answer is given below.

Step-by-step explanation:

Alternate exterior angles: I is a pair of angles on the outer side of the each of two parallel lines but on opposite side of the transversal.

Vertically opposite angles: They are angles opposite each other when two lines intersect each other or cross each other.

Corresponding angles: The angles which occupy the same relative position at each intersection where a transversal intersect the two parallel lines.

Same side interior angles: These are the angles between the parallel lines with the transversal.

Alternate interior angles: These are those angles that are alternate to each other and lie inside the parallel lines forming in Z shape.

Linear pair angles: It is a pair of adjacent angles formed by two intersecting lines

$\angle 1\ and\ \angle 6:\ \textrm{alternate exterior angles}\\\angle 1\ and\ \angle 3:\ \textrm{Vertical opposite angles}\\\angle 3\ and\ \angle 6:\ \textrm{corresponding angles}\\\angle 4\ and\ \angle 8:\ \textrm{same side interior angles}\\\angle 4\ and\ \angle 5:\ \textrm{alternate interior angles}\\\angle 5\ and\ \angle 6:\ \textrm{linear pair angles}$

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How to write 15409 in expanded form

Lady_Fox [76]

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3 years ago

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