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algol13
3 years ago
12

Calculate the vertex of the parabola using the equation Please helppp meee :((

Mathematics
1 answer:
koban [17]3 years ago
3 0

FACTOR ALL OF THE EQUATIONS INTO "y = (x-h)^2 + k," AND THE EQUATION'S VERTEX IS (h,k)

10. y = (x+2)^2 - 11 --> (-2, -11)

11. y = -(x-4)^2 + 32 --> (4, 32)

12. y = 3(x-1)^2 - 5 --> (1, -5)

13. y = -2(x+2)^2 + 5 --> (-2, 5)

14. y = 2(x+1)^2 - 1 --> (-1, -1)

15. y = -5(x-1)^2 + 8 --> (1, 8)

16. y = 3(x-3)^2 - 26 --> (3, -26)

17. y = (x+5)^2 - 32 --> (-5, -32)

18. y = -(x-3)^2 + 10 --> (3, -10)

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Juan ordered 20 pizzas for a party. 45% of the pizzas have 8 slices each. The remaining 55% of the pizzas have 12 slices each. C
Mama L [17]

Total number of pizzas Juan ordered 20

Since, 45\% of pizzas have 8 slices.

Therefore, number of pizzas with 8 slices are: 45\%\times(20)

                                                                                          =\frac{45}{100} \times(20)

                                                                                          =\frac{45}{10} \times(2)

                                                                                          =\frac{90}{10}

                                                                                          =9 pizzas


Also, since, 55\% of pizzas have 12 slices.

Therefore, number of pizzas with 12 slices are: 55\%\times(20)

                                                                                          =\frac{55}{100} \times(20)

                                                                                          =\frac{55}{10} \times(2)

                                                                                          =\frac{110}{10}

                                                                                          =11 pizzas


Now, there are 9 pizzas with 8 slices and 11 pizzas with 12 slices.

Therefore, total number of slices of pizza are: =(9)(8)+(11)(12)

                                                                            =72+132

                                                                            =204 slices

5 0
3 years ago
The origin is the point _________ in the coordinate plane
Mekhanik [1.2K]

Answer:

0

Step-by-step explanation:

6 0
3 years ago
Given: PSTR is a parallelogram m∠T:m∠R=1:3, RD ⊥ PS , RM ⊥ ST Find: m∠DRM
balu736 [363]

Answer:

m∠DRM = 45°

Step-by-step explanation:

∵ PSTR is a parallelogram

∴ TS // RP ⇒ opposite sides

∴ m∠T + m∠R = 180° ⇒ (1) (interior supplementary angles)

∵ m∠T : m∠R = 1 : 3

∴ m∠R = 3 m∠T ⇒ (2)

- Substitute (2) in (1)

∴ m∠T + 3 m∠T = 180

∴ 4 m∠T = 180

∴ m∠T = 180 ÷ 4 = 45°

∴ m∠R = 3 × 45 = 135°

∵ m∠R = m∠S ⇒ opposite angles in a parallelogram

∴ m∠S = 135°

∵ RD ⊥ PS

∴ m∠RDS = 90°

∵ RM ⊥ ST

∴ m∠RMS = 90°

- In quadrilateral RMSD

∵ m∠S = 135°

∵ m∠RDS = 90°

∵ m∠RMS = 90°

∵ The sum of measure of the angles of RMSD = 360°

∴ m∠DRM = 360 - ( 135 + 90 + 90) = 45°

3 0
3 years ago
Consider this cube with a volume of 64 cubic centimeters. A cube with volume 64 centimeters cubed. What can be concluded of this
BabaBlast [244]

Answer: B) this is a perfect cube.  D )the side length is 4.    E)taking the cube root of the volume will determine the side length.

Step-by-step explanaion:  just guessed and it told me it was right on edunuity 2020.

HOPE I HELPED PLZ GIVE BRAINLIEST:)

3 0
3 years ago
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