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goblinko [34]
3 years ago
14

N

Mathematics
1 answer:
Sveta_85 [38]3 years ago
3 0

Answer:

11

Step-by-step explanation:

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What is 8,170 divided by 75 equal
Reptile [31]

108.93

hope this helps :)


4 0
3 years ago
A refund of $3.15 on a $8.64 bill
Varvara68 [4.7K]

8.64 - 3.15 = $5.49 if this is what you are asking

5 0
3 years ago
Read 2 more answers
The British Queen is to receive 4 foreign dignitaries. The digni- taries are sensitive to the order in which they are received.
Readme [11.4K]

Answer:

Number of Ways = ₄P₄ = 24

Step-by-step explanation:

Given that there are going to be 4 dignitaries, and that they are sensitive to the order (i.e the order of the dignitaries matter), hence the total number of ways they can be arranged can be found by permutating 4 dignitaries.

i.e

Number of Ways = ₄P₄ = 24

4 0
3 years ago
Factor the binomial: 24mn + 32m *
8_murik_8 [283]
The greatest common multiple is 8m, so this means that you can factor it out to:

=8m(3n+4)
=(8m•3n)+(8m•4)
=(24mn)+(32m)
=24mn+32m

The answer is option 2.
4 0
3 years ago
The line y = hx - 2 where h > 0 meets the curve 3y² = 9x² - 6x + 1.
I am Lyosha [343]

Answer:

h=6

Step-by-step explanation:

since y =hx -2 is an equation for a line which intersects with the curve 3y^2 = 9x^2 - 6x +1. The point of intersection, let's say (x_1,y_1), should satisfy the two equations. As a result, the value of y in the second equation can be replaced with the value of y in the first equation as the following,

3y^2 = 3(hx-2)^2 = 9x^2 - 6x +1\\3(h^2x^2 -4hx + 4) = 9x^2 - 6x + 1\\3h^2 x^2 -12hx +12 = 9x^2 - 6x +1

therefore, the latter equation can be rewritten in a quadratic equation form as the following,

(9 - 3h^2) x^2 + (12h-6)x + (1-12) = (9 - 3h^2) x^2 + (12h-6)x -11 = 0

if the line is tangent to the curve, it means that the line touches the curve at one point, therefore the discernment of the second order equation will be equal to zero for the famous quadratic equation solution.

b^2 -4ac =0

where a=9-3h^2, b=12h-6 and c=-11, as a result, the following equations can be deduced,

(12h-6)^2 - 4*(9-3h^2)*(-11) = (144h^2 -144h +36) - (36 -12h^2)*(-11)=\\(144-(-12)*(-11)h^2 )  -144h +36 -(36*(-11)) =\\12 h^2 -144h +432 =0

therefore, dividing both sides by 12

h^2 -12 +36 =0\\(h-6)^2 =0\\h=6

8 0
2 years ago
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