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inysia [295]
2 years ago
7

PLEASE HELP!! WILL GIVE BRAINLIST!!!! Is the binomial a factor of the polynomial function? f(x)=x^3+4x^2−25x−100 Select Yes or N

o for each binomial.
(x-5)

(x+2)

(x-4)
Mathematics
1 answer:
pochemuha2 years ago
4 0

Answer:

See below

Step-by-step explanation:

y = x^2 (x + 4) - 25(x + 4)

y = (x + 4)(x^2 - 25)

y = (x + 4)(x + 5)(x - 5)

  • x - 5 is a yes
  • x + 2 is a no
  • x - 4 is a no
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8. Mohan wants to buy a trapezium shaped field.
mojhsa [17]

Answer:

<em>The length of the side along the river is 140 m</em>

Step-by-step explanation:

<u>Equations</u>

To solve the problem, we need to recall the area of a trapezium is:

\displaystyle A=\frac{b1+b2}{2}.h

Where b1 and b2 are the lengths of the parallel sides and h is the height of the trapezium.

The field to be bought by Mohan has a trapezium shape with a side along the road of side x and a side along the river of side 2x, as stated in the problem.

Knowing the height is h=100 m, and the area is 10500 m2:

\displaystyle \frac{x+2x}{2}\cdot 100=10500

Simplifying:

\displaystyle (3x)\cdot 50=10500

150x=10500

Dividing by 150:

x = 10500 / 150 = 70

x = 70 m

2x = 140 m

The length of the side along the river is 140 m

8 0
2 years ago
Can someone tell me the asnwer to this ASAP?
daser333 [38]

Answer:

2\sqrt{2} \\2

Step-by-step explanation:

\sqrt{8} = \sqrt{4*2} = \sqrt{4} * \sqrt{2} = 2*\sqrt{2}  = 2\sqrt{2} \\\\\sqrt[3]{8} = \sqrt{2*2*2}  = 2

6 0
2 years ago
Read 2 more answers
Triangle def has vertices d(2,-5) e(6,-1) and f(5,6) verify that def is isosceles
goldfiish [28.3K]
To prove that the given triangle is an isosceles, two of its sides must have equal lengths.

Between D(2,-5) and E(6,-1):
d = √(6 - 2)² + (-1 - ⁻5)² = 4√2

Between E(6,-1) and F(5,6):
d = √(5 - 6)² + (6 - ⁻1)² = 5√2

Between D(2,-5) and F(5,6)
d = √(5 - 2)² + (6 - ⁻5)² = √130

<em>Since there are no equal lengths, the triangle is NOT an isosceles triangle.</em>

The bisector of angle F is a line segment from vertex F to the midpoint of line DE.

Midpoint: x = (2+6)/2 = 4; y = (-5+-1)/2 = -3
The midpoint is at (4,-3).
The equation of the line follows the point-slope formula:
y - y₁ = [(y₂ - y₁)/(x₂ - x₁)](x - x₁)
Substituting using points (5,6) and (4,-3)
y - 6 = [(⁻3 - 6)/(4 - 6)](x - 5)
y - 6 = (9/2)(x - 5)
2(y - 6) = 9(x - 5)
2y - 12 = 9x - 45
<em>2y - 9x = -33 </em>

4 0
3 years ago
Complete the following steps to find the LCD and write the sum of the numerators for the given problem: es002-1. Jpg Factor each
lesya [120]

The value of x from the given equation is -4/3

<h3>Factorization</h3>

Given the quadratic equation x^2 – 3x – 4 =  x^2 – 6x + 8

  • Collect the like terms

x^2 – 3x – 4 - x^2 + 6x - 8 = 0

-3x + 6x - 4 + 8 = 0

3x + 4  = 0

  • Subtrcat 4 from both sides

3x + 4 - 4  = 0 - 4

3x = -4

  • Divide both sodes by 3

3x/3 = -4/3

x = -4/3

Hence the value of x from the given equation is -4/3

Learn more on equations here: brainly.com/question/2972832

5 0
2 years ago
in a recent year, one united states dollar was equal to about 82 japanese.how many japanese yen are equal $100?$1,000?$10,000?
Ugo [173]
\sf 1 ~dollar = 82~yens\\\\100~dollars = 82 \times 100~yens= 8,200~yens\\\\ 1,000~dollars = 82 \times 1,000~yens = 82,000~yens\\\\10,000~dollars=82\times10,000~yens=820,000~yens
4 0
3 years ago
Read 2 more answers
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