1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Furkat [3]
2 years ago
5

Someone please help me answer this!!

Mathematics
1 answer:
Liula [17]2 years ago
7 0

Answer:

100 in is the answer.

Step-by-step explanation:

a = 60 in

b = 80 in

c = ?

According to the Pythagorean theorem,

a² + b² = c²

60² + 80² = c²

3600 + 6400 = c²

c² = 10000

c = 100 in

∴ the distance between the opposite corners of the bed is 100 in

You might be interested in
Which polynomial function has x intercepts -1,0, and 2 and passes through the point (1,-6)?
nikitadnepr [17]

Answer:

f(x) = 3x^3 - 3x^2 - 6x

Step-by-step explanation:

Which polynomial function has x intercepts -1,0, and 2 and passes through the point (1,-6)?

There are 3 distinct and real roots given in the question, which means that the  function must be a third degree polynomial. The roots are -1, 0, and 2. This means that f(x) = 0 at these points. The general form of the cubic equation is given by:

f(x) = ax^3 + bx^2 + cx + d; where a, b, c, and d are arbitrary constants.

From the given data:

f(-1)=0 implies a*(-1)^3 + b*(-1)^2 + c(-1) + d = -a + b - c + d = 0. (Equation 1).

f(0)=0 implies a*(0)^3 + b*(0)^2 + c(0) + d = 0a + 0b + 0c + d = 0. (Equation 2).

f(2)=0 implies a*(2)^3 + b*(2)^2 + c(2) + d = 8a + 4b + 2c + d = 0. (Equation 3).

f(1)=0 implies a*(1)^3 + b*(1)^2 + c(1) + d = a + b + c + d = -6. (Equation 4).

Equation 2 shows that d = 0. So rest of the equations become:

-a + b - c = 0;

8a + 4b + 2c = 0;  (Divide 2 on both sides of the equation to simplify).

a + b + c = -6

This system of equation can be solved using the Gaussian Elimination Method. Converting the system into the augmented matrix form:

• 1 1 1 | -6  

• -1 1 -1 | 0

• 4 2 1 | 0

Adding row 1 into row 3:

• 1 1 1 | -6  

• 0 2 0 | -6

• 4 2 1 | 0

Dividing row 2 with 2 and multiplying row 1 with -4 and add it into row 3:

• 1 1        1 | -6

• 0 1       0 | -3

• 0 -2 -3 | 24

Multiplying row 2 with 2 and add it into row 3:

• 1 1       1 | -6

• 0 1       0 | -3

• 0 0 -3 | 18

It can be seen that when this updated augmented matrix is converted into a system, it comes out to be:

• a + b + c = -6

• b  = -3

• -3c = 18 (This implies that c = -6.)

Put c = -6 and b = -3 in equation 1:

• a + (-3) + (-6) = -6

• a = -6 + 3 + 6

• a = 3.

So f(x) = 3x^3 - 3x^2 - 6x (All conditions are being satisfied)!!!

5 0
3 years ago
Please help me with this!!!!!!!!!!!!!!! MATHHHHHH
Alexeev081 [22]
I can’t see anything on the screen
4 0
3 years ago
What's the answer for it??
Murljashka [212]
I believe the answer is D.
5 0
3 years ago
Read 2 more answers
The parabolic arch of a bridge over a one-way road can be described by the equation y = -x^2 + 6, where x and y ar emeasured in
Vladimir [108]
So check the picture below

if we check the solutions or zeros for the equation, we get \bf y=-x^2+6\implies 0=-x^2+6\implies x=\pm \sqrt{6}

and as you can see in the picture, the value of "x" when y = 3.5, or the height of the truck is  \bf y=-x^2+6\implies 3.5=-x^2+6\implies x=\pm \sqrt{2.5}

the truck, ends up with a clearance of \bf \sqrt{2.5}-1.5 on either side, so, the maximum clearance, the truck can have, those two clearances added together, \bf 2(\sqrt{2.5}-1.5)

5 0
3 years ago
Mason randomly chooses a card from a standard deck of playing cards. What is the probability that it is not an ace, given it is
bogdanovich [222]

Answer:

there are 52 cards in a deck so the chance is a red card (or not a red card) is 26 out of 52.

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Bob is trying to determine how much fence he needs to surround his house. He determined the length has a distance of 56 ft and t
    13·1 answer
  • What do you call the terms between 2 terms?
    11·1 answer
  • Solve the inequality
    11·1 answer
  • Now find the measure of ∠YOZ. Which angle relationship did you use?
    10·2 answers
  • HEEELp PLEASEEEEEEE tank uuuuuuuuuu
    13·2 answers
  • *PLEASE ANSWER!!! THANK YOU!!*
    7·1 answer
  • Find the prime factorization of 560 using exponents.
    13·2 answers
  • The net price of a hand phone after allowing trade discount of 20% was RM2,000. Find what is the list price of the hand phone.​
    10·1 answer
  • Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2. Which circle co
    12·1 answer
  • I need help on question 9 I would appreciate it:0
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!