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3 years ago

Write equation of a line in point slope form that passes through (3,8) and has a slope of 5?

Mathematics

1 answer:

hjlf3 years ago

7 0

Answer:

y = 5x - 7

Step-by-step explanation:

(3 , 8) ; slope(m) = 5

Equation of the line: y - y₁ = m( x- x₁)

y - 8 = 5(x - 3)

y -8 = 5x - 5*3

y-8 = 5x - 15

y = 5x - 15 +8

y = 5x - 7

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What is the molar solubility of magnesium fluoride in a solution that is 0.40 m f− ions? the ksp of mgf2 is 6.4 × 10−9. hints wh

velikii [3]

<span>Answer: MgF2 ====â‡’ Mg+2 + 2F- Ksp = [Mg+2][F-]^2 Let S = molar solubility of MgF2 [Mg+2] = S ; [F-] = 2s Since the [F-] is initially 0.40 M, then [F-] = 0.40 + 2S 6.4 x 10^-9 = (S) (0.40 + 2S)^2 ; one can neglect the 2S in the 0.40 + 2S expression since it is very, very small compared to the 0.40 already present. 6.4 x 10^-9 = S(0.40)^2 S = 4.0 x 10^-8 Molar solubility = 4.0 x 10^-8</span>

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3 years ago

Damm [24]

Step-by-step explanation:

It cannot be (4, -3) as there would be 2 outputs (3 and -3) for the input 4, therefore it becomes a one-to-many relationship and not a function.

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3 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D" id="TexFormula1" title="\frac{1}{3}" alt="\frac{1}{3}" align="absmiddle

____ [38]

The resulting fractions is 14/15

<h3>Solving equations</h3>

Given the expression shown below;

1/3 + 2/5(2 - 1/2)^2

Solve the expression in bracket

1/3 + 2/5(3/2)^2

1/3 + 2/5(9/4)

Multiply the fractions

1/3 + 18/20

Find the LCM

20+36/60

56/60

28/30

14/15

Hence the resulting fractions is 14/15

Learn more on fractions here; brainly.com/question/78672

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1 year ago

Three moons are in the same circular orbit around a planet. The moons are each 115,000 kilometers from the surface of the planet

marshall27 [118]

275,000 km
The moons A, B, C form a right triangle with AC forming a hypotenuse with the diameter of the planet and the distance of both moons from the surface. So add A to the surface, plus the diameter of the planet, plus surface to c.
115000+45000+115000 = 275000

7 0

2 years ago

Read 2 more answers

Find values a and b that satisfy a∙〈5,-4,0〉+b∙〈2,2,-3〉=〈11,-16,-6〉.

WARRIOR [948]

The right hand side of the equation is 〈11 , -16 , 6〉

The values of a and b are a = 3 , b = -2

Step-by-step explanation:

If n . <a , b> + m . <c , d> = < x , y>, then

na + mc = x
nb + md = y

∵ a ∙〈5 , -4 , 0〉 + b ∙ 〈2 , 2 , -3〉 = 〈11 , -16 , 6〉

- By using the rule above

∴ a(5) + b(2) = 11 ⇒ (1)

∴ a(-4) + b(2) = -16 ⇒ (2)

∴ a(0) + b(-3) = 6 ⇒ (3)

Use equation (3) to find the value of b

∵ a(0) + b(-3) = 6

∴ 0 - 3b = 6

∴ -3b = 6

- Divide both sides by -3

∴ b = -2

Substitute b in equation (1) or equation (2) to find a

∵ a(5) + b(-2) = 11

∴ 5a - 2b = 11

∵ b = 2

∴ 5a - 2(2) = 11

∴ 5a - 4 = 11

- Add 4 to both sides

∴ 5a = 15

- Divide both sides by 5

∴ a = 3

To check your answer substitute a and b in equation (2)

∵ a(-4) + b(2) = -16

∴ -4a + 2b = -16

∵ a = 3 , b = -2

∵ The left hand side is -4a + 2b = -4(3) + 2(-2) = -12 - 4 = -16

∵ The right hand side is -16

∴ L.H.S = R.H.S

∴ The values of a and b are 3 , -2

The values of a and b are a = 3 , b = -2

Learn more:

You can learn more about the equations in brainly.com/question/11306893

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3 years ago