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melamori03 [73]
2 years ago
8

t="\small\bold\green{{help}}" align="absmiddle" class="latex-formula">​

Mathematics
1 answer:
Zina [86]2 years ago
8 0

9514 1404 393

Answer:

  1. y = -2/3x +5/3
  2. y = 2.4x -8

Step-by-step explanation:

Solve for y. The slope (m) is the coefficient of x. The y-intercept (b) is the constant.

1. 3y = -2x +5

  y = -2/3x +5/3 . . . . . m = -2/3, b = 5/3

__

2. y = 2.4x -8 . . . . . . . m = 2.4, b = -8

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charle [14.2K]

Use the formula of a distance between two points:

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

(-8,\ -6),\ (4,\ 10)\\\\d=\sqrt{(4-(-8))^2+(10-(-6))^2}=\sqrt{12^2+16^2}\\\\=\sqrt{144+256}=\sqrt{400}=\boxed{20}\\\\(5,\ 14),\ (-3,\ -9)\\\\d=\sqrt{(-3-5)^2+(-9-14)^2}=\sqrt{(-8)^2+(-23)^2}\\\\=\sqrt{64+529}=\boxed{\sqrt{593}\approx24.35}

7 0
3 years ago
(7)/(3) of it is 5 (5)/(6)
slava [35]

let's firstly convert the mixed fraction to improper fraction and then take it from there, keeping in mind that the whole is "x".

\stackrel{mixed}{5\frac{5}{6}}\implies \cfrac{5\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{35}{6}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{3}x~~ = ~~5\frac{5}{6}\implies \cfrac{7}{3}x~~ = ~~\cfrac{35}{6}\implies 42x=105\implies x=\cfrac{105}{42} \\\\\\ x=\cfrac{21\cdot 5}{21\cdot 2}\implies x=\cfrac{21}{21}\cdot \cfrac{5}{2}\implies x=1\cdot \cfrac{5}{2}\implies x=2\frac{1}{2}

7 0
2 years ago
What is the value of b in the equation (yb) 4 = 1/24y
Amiraneli [1.4K]
Dear student pls rewrite or send the picture of the question you want the answer of
7 0
3 years ago
Can someone explain to me how to do this!!!
galina1969 [7]
Well...it says the sum of the angles measure 360...so lets set them equal to 360

40 + x - 10 + 1/3x + x - 20 = 360...combine like terms
2 1/3x + 10 = 360
7/3x = 360 - 10
7/3x = 350
x = 350/(7/3)
x = 350 * 3/7
x = 1050/7
x = 150 <===== 






3 0
3 years ago
A kite descends to the ground from a height of 32 feet. Use an integer to describe the descent.
nydimaria [60]
32-x=0; with x equaling the amount descended or -32.
8 0
3 years ago
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