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Bingel [31]
3 years ago
12

What is the answer?

Mathematics
1 answer:
Bad White [126]3 years ago
8 0

Answer:

k=3

Step-by-step explanation:

+ we note f(p)= p^{4}+p^{2}  +p -k

+ Because of "p-1 is a factor of f(p)", that means f(p)= (p-1)* g(p)

Then we have f(1)= (1-1)*g(1)= 0* g(1)= 0

+ We replace p=1 in f(p) and we have:

f(1)=0

that means: 1^{4}+1^{2} + 1 - k=0

then 1+1+1-k = 0, 3-k=0 or k=3

Hope that useful for you.

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4. He drove at Puerto Princesa City to Taytay at an average speed of 40 kph
dexar [7]

Step-by-step explanation:

Distance = Speed x Time

Given Distance = 40km/h or kph

Time = 5 hours 15 minutes

=

5 \frac{15}{60}  \\  = 5 \frac{1}{4} \\  = 5.25hours

Distance Travelled = 40 kph x 5.25 hours

= 210km

7 0
3 years ago
What is a correct expansion of (4x+1)(2x^2-2)
kirill115 [55]

Answer: B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)

Step-by-step explanation: Hope this help :D

4 0
3 years ago
Read 2 more answers
The floor of a gazebo is in the shape of a regular octagon. The perimeter of the floor is 72 feet. The distance from the center
Katyanochek1 [597]
The length of one side of the octagon is given by:
 L = 72/8

L = 9
 Then, the apothem can be determined using the Pythagorean theorem in the following way:
 11.8 ^ 2 = (9/2) ^ 2 + a ^ 2

 Clearing to have:
 a ^ 2 = 11.8 ^ 2 - (9/2) ^ 2
 a = \sqrt{11.8 ^ 2 - (9/2) ^ 2}
 a = 10.91
 Then, the area is given by:
 A = (8) * (1/2) * (L) * (a)

 Where,
 L: length of the octagon sides
 a: apotema
 Substituting values:
 A = (8) * (1/2) * (9) * (10.91)

A = 392.76 feet ^ 2
 Answer:
 
the approximate length of the apothem is:
 
a = 10.91 feet
 
The approximate area of the floor of the gazebo is:
 
A = 392.76 feet ^ 2
8 0
4 years ago
Read 2 more answers
Surveyors wished to know the distance across a lake between A and B. They measured the distance from B to C as 100 m and the ang
kherson [118]

Answer:

<h3>AB ≈ 70m</h3>

Step-by-step explanation:

Check the attachment for the diagram.

You can see from the diagram that it is a right angled triangle with opposite side AB and adjacent side BC. Using SOH, CAH, TOA trig identity to get the length of AB. According to TOA;

tan 35° = opposite/adjacent

tan 35° = AB/BC

tan 35° = AB/100

AB = 100tan35°

AB = 100 * 0.7002

AB = 70.02m

Hence the distance across a lake between A and B is approximately 70m

5 0
3 years ago
Which type of transformation is shown in the graph
Liono4ka [1.6K]

Answer:

C. Translation

Step-by-step explanation:

This is because the triangle is still in the same position, however, it has been shifted to the right five and up two.

Hope this helps!

All the love, Ya boi Fraser :)

4 0
3 years ago
Read 2 more answers
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