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Tomtit [17]
2 years ago
7

How is everyone's day

Mathematics
1 answer:
weqwewe [10]2 years ago
8 0

Answer:

Mine's going good. Just doing school at home and playing volleyball

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Find the slope on the line
Alla [95]

Answer:

-1

Step-by-step explanation:

Use Rise/Run and since the line is negative the slope will be negative

8 0
2 years ago
Can y’all please help me
Vikki [24]
The y-intercept is 1
8 0
2 years ago
A cuboid with a volume of 924cm^3 has dimensions
Leona [35]

The values of x are -22 and 10

The dimensions are 4 cm , 11 cm , 21 cm

Step-by-step explanation:

The given is:

  • A cuboid with a volume of 924 cm³
  • It has dimensions  4 cm , (x + 1) cm and (x + 11) cm

We want to show that x² + 12x - 220 = 0, and solve the equation to find its dimensions

The volume of a cuboid is the product of its three dimensions

∵ The dimensions of the cuboid are 4 , (x + 1) , (x + 11)

∴ Its volume = 4(x + 1)(x + 11)

- Multiply the two brackets and then multiply the product by 4

∵ (x + 1)(x + 11) = (x)(x) +(x)(11) + (1)(x) + (1)(11)

∴ (x + 1)(x + 11) = x² + 11x + x + 11 ⇒ add like terms

∴ (x + 1)(x + 11) = x² + 12x + 11

∴ Its volume = 4(x² + 12x + 11)

∴ Its volume = 4x² + 48x + 44

∵ The volume of the cuboid = 924 cm³

- Equate the expression of the volume by 924

∴ 4x² + 48x + 44 = 924

- Subtract 924 from both sides

∴ 4x² + 48x - 880 = 0

- Simplify it by dividing all terms by 4

∴ x² + 12x - 220 = 0

Now let us factorize it into two factors

∵ x² = x × x

∵ 220 = 22 × 10

∵ 22(x) - 10(x) = 12x ⇒ the middle term

∴ x² + 12x - 220 = (x + 22)(x - 10)

∴ (x + 22)(x - 10) = 0

- Equate each factor by 0 to find x

∵ x + 22 = 0 ⇒ subtract 22 from both sides

∴ x = -22

∵ x - 10 = 0 ⇒ add 10 to both sides

∴ x = 10

∴ The values of x are -22 and 10

We can not use x = -22 because there is no negative dimensions, then we will use x = 10

∵ The dimensions are 4 , (x + 1) , (x + 11)

∵ x = 10

∴ The dimensions are 4 , (10 + 1) , (10 + 11)

∴ The dimensions are 4 cm , 11 cm , 21 cm

Learn more:

You can learn more about the factorization in brainly.com/question/7932185

#LearnwithBrainly

3 0
3 years ago
(I WILL MARK BRAINLYIEST ONLY IF CORRECT)The first five terms of a pattern are given below. 36,38,40,42,44 which expression can
nekit [7.7K]

Answer:

D

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
In parallelogram ABCD, the length of BC=3x-1, CD=2x, and AD=x+5. Find the perimeter of ABCD
yarga [219]

Answer:

Step-by-step explanation:

BC=AD

3x-1=x+5

3x-x=5+1

2x=6

x=3

BC=3×3-1=8

CD=2x=2×3=6

perimeter=2(8+6)=2(14)=28

6 0
3 years ago
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