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Alinara [238K]
3 years ago
6

Triangle ABC has side lengths of 4 units, 7 units, and 5 units. Use the Converse of the Pythagorean Theorem to prove that ABC is

not a right triangle. Write numbers 1-4 to order the steps.
16 + 25 = 49

a2 + b2 = c2

41 ≠
≠
49

42 + 52 = 72

Therefore, triangle ABC is not a right triangle.
Mathematics
1 answer:
zaharov [31]3 years ago
8 0

Answer:

3

 16 + 25 = 49

1

 a^2 + b^2 = c^2

4

41 ≠ 49

2

 4^2 + 5^2 = 7^2

Step-by-step explanation:

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This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex
harina [27]
L(x,y,z,\lambda)=8x+8y+4z+\lambda(4x^2+4y^2+4z^2-36)

L_x=8+8\lambda x=0\implies 1+\lambda x=0
L_y=8+8\lambda y=0\implies 1+\lambda y=0
L_z=4+8\lambda z=0\implies 1+2\lambda z=0
L_\lambda=4x^2+4y^2+4z^2-36=0\implies x^2+y^2+z^2=9

yL_x=y+\lambda xy=0
xL_y=x+\lambda xy=0
\implies yL_x-xL_y=y-x=0\implies y=x

2zL_x=2z+2\lambda xz=0
xL_z=x+2\lambda xz=0
\implies 2zL_x-xL_z=2z-x=0\implies x=2z

2zL_y=2z+2\lambda yz=0
yL_z=y+2\lambda yz=0
\implies 2zL_y-yL_z=2z-y=0\implies y=2z

x=y=2z\implies x^2+y^2+z^2=9\iff 4z^2+4z^2+z^2=9z^2=9\implies z=\pm1

z=\pm1\implies y=x=\pm2

So we have two critical points, (2, 2, 1) and (-2, -2, -1), which respectively give a max of 36 and a min of -36.
5 0
3 years ago
Let f (x) = 10 x^10 – 5x^8 +2x^6
swat32
This question is way to hard
8 0
3 years ago
How do i do this? the interquartile range? please help!
Irina18 [472]

Answer:

20

Step-by-step explanation:

3 0
4 years ago
Whoever gets this right will get a brainiest and a good rating
Alona [7]

Answer:

31.4

Step-by-step explanation:

Circumference = pi x diameter.

Diameter = 2 x radius

Radius = 5

Diameter = 10

Circumference = 10 x pi = 31.4

4 0
3 years ago
Read 2 more answers
Errors in an experimental transmission channel are found when thetransmission is checked by a certifier that detects missing pul
Anastaziya [24]

Answer:

a) P(X ≤ 4) = 0.9

b) P(X>7) = 0

c) P(X ≤ 5) = 0.9

d) P(X>4) = 0.1

e) P(X≤2)= 0.7

Step-by-step explanation:

Hello!

Given the distribution of cumulative probability

        0        for  X < 1

F(x)  0.7     for 1 ≤ X < 4

       0.9     for  4 ≤ X < 7

         1        for 7 ≤ X

To determine each of the asked probabilities you have to select the probability corresponding to the defined intervals for X:

a) P(X ≤ 4) = 0.9

This value of X is included the interval "4 ≤ X < 7" so the corresponding probability is 0.9

b) P(X>7) = 0

This is equal to the expression:

1 - P(X≤7)

This expression is included in the last interval so the probability is 1

1 - 1 = 0

c) P(X ≤ 5) = 0.9

5 is included in the third interval "4 ≤ X < 7" so the corresponding probability is 0.9

d) P(X>4) = 0.1

P(X>4) = 1 - P(X≤4)

P(X≤4) is in the interval of definition "4 ≤ X < 7" so the corresponding probability is 0.9

1 - 0.9 = 0.1

e) P(X≤2)= 0.7

The value X=2 is included in the second interval "for 1 ≤ X < 4", so the probability is 0.7

I hope it helps!

4 0
3 years ago
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