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Andrews [41]
3 years ago
9

If x-2 is one of the factors of x^4-kx^2+4, find the value of k.

Mathematics
1 answer:
Andrei [34K]3 years ago
8 0

Step-by-step explanation:

Given expression is x⁴-kx²+4 =0

x−2 is a factor of the given expression.

So, x=2

Substitute in the equation, we get

2⁴-k(2)²+4

⇒16+4k+4=0

⇒4k=−20

⇒k=−5

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Length of the bases and h is the height, to answer the question. How many square feet of grass
Aleonysh [2.5K]

Answer:

There are 7,725 square feet of grass on the trapezoidal field

Step-by-step explanation:

Here in this question, we are interested in calculating the square feet of grass present on the trapezoidal field.

What this question is actually asking us is to calculate the area of the trapezoid-shaped grass field.

To calculate this area, what we need to do

simply is to use the formula for the area of a trapezoid.

Mathematically, the area of a trapezoid can be calculated using the formula;

Area of trapezoid = 1/2 * (a + b) * h

where a and b refers to the length of the parallel lengths of the trapezoid and h refers to the height of the trapezoid.

From the question;

a, b = 81ft and 125 ft

h = 75 ft

Substituting these values, we have :

Area = 1/2 * (81 + 125) * 75

Area = 1/2 * 206 * 75 = 83 * 75 = 7,725 ft^2

6 0
3 years ago
Carlos has a string that is 24 inches long he wants to divide it into three equal parts write an equation to find how long each
katrin2010 [14]

Answer: 24 ÷ 3


Step-by-step explanation: You do 24÷3 because he has a string that is 24 inches long and if he wanted to divide it into 3 equal pieces . You would get 8 inches long for each piece (8x3) or (3x8)


4 0
3 years ago
Plz help me solve this page ASAP 20POINTS!!!!!
eduard

1) Midpoint : (7/2,1/2), Quadrant 1

2. Midpoint: (5,1/2), Quadrant 2

Hope this helps. Please mark brainliest if you can

8 0
3 years ago
The measure of the​ angle's supplement is 40​° more than three times that of its complement. find the measure of the angle descr
Lemur [1.5K]
Angle is x. sup - adds up to 180. comp adds up to 90

180-x = 3(90-x)+40
180-x = 270-3x+40
180-x = 310-3x
180+2x = 310
2x = 130
x=65
8 0
3 years ago
The sum of two numbers is 76 and their difference is 14. Find each of the numbers
Ludmilka [50]

The answers would be 24 and 52 hope this helped!

5 0
3 years ago
Read 2 more answers
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