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Vaselesa [24]
2 years ago
8

X³+2x²-15x, x²-7x+12 and 3x²-27 find h.c.f​

Mathematics
1 answer:
RideAnS [48]2 years ago
6 0

Answer:

{x}^{3}  + 2 {x}^{2}  - 15x \\ x( {x}^{2}  + 2x - 15) \\ x( {x}^{2}  + 5x - 3x - 15) \\ x(x(x + 5) - 3(x + 5) \\ x((x + 5)(x - 3)) \\  {x}^{2}  -7x + -  12 \\  {x}^{2}  - 4x + 3x - 12 \\ x(x - 4) + 3(x - 4) \\ (x  - 4)(x + 3) \\ 3 {x}^{2}  - 27 \\ 3( {x}^{2}  - 9) \\ 3((x + 3)(x - 3)) \\  \\ the \: hcf \:  = (x + 3)

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List the slope and y intercept f(x)=4x-2
Rzqust [24]

Answer:

Slope:4

Y intercept=-2

Step-by-step explanation:

the formula of a line is Y=mx+b

Where

M=slope

B=Y intercept

8 0
4 years ago
Angles D and F are ______ because they are ______ angles.
LUCKY_DIMON [66]

Answer: I need the diagram of the figure that the two angles are on.

Step-by-step explanation:

6 0
3 years ago
In a class of 29 students, 20 play an instrument and 18 play a sport.
kvasek [131]

Answer:11/29

Step-by-step explanation:

The numerator is alredy given as 11 students play both an instrument and a sport. Denominator is how many students in the class which is 29.

5 0
3 years ago
Laura, Scott, and Joe served a total of 104
umka21 [38]

9514 1404 393

Answer:

  • Joe: 57
  • Scott: 19
  • Laura: 28

Step-by-step explanation:

Let s represent the number of orders Scott served. Then we have Joe served 3s, and Laura served (s+9). The total of orders served is ...

  3s +s +(s +9) = 104

  5s = 95 . . . . . . . . . . . subtract 9 and collect terms

  s = 19 . . . . . . . . . divide by 5

  3s = 3×19 = 57

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3 0
3 years ago
4. A map of an amusement park is shown on a coordinate plane, where each square
Zielflug [23.3K]

Using cartesian coordinates concepts such as midpoint and distance between two points, it is found that:

  • The location point of the Ferris wheel is (15,24).
  • They need to walk 20 units.
  • The coordinates of the hotdog stand are (23,8).

  • Water ride is at point (3,8).
  • Roller coaster is at point (27,40).
  • The Ferris wheel is at the midpoint of the water ride and the roller coaster, thus it's coordinates are the <u>mean of their coordinates.</u>

x = \frac{3 + 27}{2} = 15

y = \frac{8 + 40}{2} = 24

The location point of the Ferris wheel is (15,24).

The distance between two points, (x_1,y_1) and (x_2,y_2) is given by:

D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Here, Tiffany and her sister are at (15,24) while their parents are at (3,8). Thus, their distance is:

D = \sqrt{(15 - 3)^2 + (24 - 8)^2} = 20

They need to walk 20 units.

  • Hotdog stand is directly east of the water ride, thus, it has the <u>same y-coordinate, while the x-coordinate is increased</u>.
  • The distance is of 20 units, thus:

(3 + 20, 8) = (23,8)

The coordinates of the hotdog stand are (23,8).

A similar problem is given at brainly.com/question/24352869

6 0
3 years ago
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