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mario62 [17]
3 years ago
11

Help!! i need help finding the answers to this.

Mathematics
1 answer:
Slav-nsk [51]3 years ago
6 0

Answer:

(h+k)(2) = 5

(h-k)(3) = 9

3h(2) + 2k(3) = 17

Step-by-step explanation:

  • (h+k)(2)
  • h(2) + k(2) = ((2)²+1) + ((2)-2) = 5 + 0 = 5

  • (h-k)(3)
  • h(3) - k(3) = ((3)²+1)-((3)-2) = 10 - 1 = 9

  • 3h(2) + 2k(3)
  • 3(5) + 2(1) = 15 + 2= 17
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if PQ || RS and the slope of PQ= x-1/4 and the slope of RS is 3/8 then find the value of x justify algebraically and numerically
Artemon [7]

The value of x is 5/8.

<u>Step-by-step explanation</u>:

Given,

  • The lines PQ and RS are parallel to each other.
  • slope of PQ= x-1/4
  • slope of RS = 3/8

The slopes of parallel lines are equal.

slope of PQ = slope of RS

⇒ x-1/4 = 3/8

⇒ (4x-1)/4 = 3/8

⇒ 8(4x-1) = 4(3)

⇒ 32x-8 = 12

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Step-by-step explanation:

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3 years ago
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PLEASE HELP ME.Math work: The Head Chef has asked you to create a delicious baked dessert that will have the same volume if it i
nikklg [1K]

Answer:

Large baking dish of cylinder, cone and sphere.

Step-by-step explanation:

When we compute the volume of each of the small and large baking dish taking \pi=3.14, we get

Volume of cylinder (small dish)= \pi(r^2)(h)

                                                  =3.14(\frac{3}{2})^2*3

                                                  = \frac{3.14*9*3}{4}

                                                 = 21.195

Volume of cylinder (large dish)= \pi(r)^2(h)= 3.14*(3)^2(3)

                                                  =84.78

Similarly, volume of cone (smaller dish)= \frac{1}{3} \pi r^{2} h

                                                            = 7.065

Volume of cone (larger dish)= 84.78

Volume of sphere(smaller dish)= \frac{4}{3} \pi r^{3}

                                                    = 14.13

Volume of sphere (larger dish) = 85.17 (approx)

Hence, we get that larger baking dish have approximately same volume.

Therefore, large baking dish of cylinder, cone, sphere will be chosen.

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3 years ago
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