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gayaneshka [121]
3 years ago
8

Pls help! Brainliest!

Mathematics
2 answers:
AfilCa [17]3 years ago
4 0
If I could see the graph correctly, then the y-intercept should be -5.
alexdok [17]3 years ago
4 0
First I’ll write down the points given (-4,5),(-1,-7.5)
Second, I will find the slope, and the slope formula is y2-y1/x2-x1
Third, I’ll plug in the points into the formula -7.5-5/-1-(-4) = -12.5/3= -37.5
Fourth, you could plug in the points in slope intercept form y=mx+b or point slope form y-y1=m(x-x1), I’ll use slope intercept form.
5=-37.5(-4)+b
5=150+b
-145=b
b=-145

So your answer will be -145.
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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
Without drawing the lines, state the gradient of the lines with the following equation y=2x+4
777dan777 [17]

Answer:

gradient m is 2

Step-by-step explanation:

the equation is y=mx+c therefore m is 2.

3 0
2 years ago
Conplete the square to solve the quadratic equation. x<br><img src="https://tex.z-dn.net/?f=1%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20
o-na [289]

Answer:

\large\boxed{x=4\pm2\sqrt6}

Step-by-step explanation:

x^2-6x+12=2x+20\qquad\text{subtract}\ 2x\ \text{and}\ 12\ \text{from both sides}\\\\x^2-8x=8\\\\x^2-2(x)(4)=8\qquad\text{add}\ 4^2=16\ \text{to both sides}\\\\x^2-2(x)(4)+4^2=8+4^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-4)^2=24\iff x-4=\pm\sqrt{24}\\\\x-4=\pm\sqrt{4\cdot6}\\\\x-4=\pm\sqrt4\cdot\sqrt6\\\\x-4=\pm2\sqrt6\qquad\text{add 4 to both sides}\\\\x=4\pm2\sqrt6

6 0
2 years ago
Let F(x, y) be the statement "x can fool y," where the domain is the set of all people in the world. Translate each of the follo
elena-s [515]

Answer:

the statement  "x can fool y," where the domain is the set of all people in the world is everyone can be fooled by someone.

Step-by-step explanation:

"A logical expression is a statement that can either be true or false.

3 0
3 years ago
What is likely to be the subject of a direct geometric proof?
Murrr4er [49]
Theorem. .......aaaa
6 0
2 years ago
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