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scoundrel [369]
4 years ago
6

2 (3u+7) = -4 (3-2u)

Mathematics
1 answer:
Lena [83]4 years ago
4 0

Answer:

13 = u

Step-by-step explanation:

Please include the instructions.  I'm assuming you are to "solve for u."

Dividing both sides by 2, we get:

3u + 7 = -2(3 - 2u),  or  3u + 7 =  -6 + 4u.  Combine like terms.

Then 13 = u

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Find the value of y if B is between A and C, AB is 2y, BC is 6y, and AC is 48.
Len [333]

Answer:

7. C. 6

8. H. √34

9. A. (1, 3.5)

10. J. 10

Step-by-step explanation:

7. AB = 2y, BC = 6y, AC = 48

AB + BC = AC (segment addition theorem)

Substitute the above values into the equation

2y + 6y = 48

Solve for y

8y = 48

Divide both sides by 8

8y/8 = 48/8

y = 6

8. Distance between P(2, 8) and Q(5, 3):

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

Let,

P(2, 8) = (x_1, y_1)

Q(5, 3) = (x_2, y_2)

PQ = \sqrt{(5 - 2)^2 + (3 - 8)^2}

PQ = \sqrt{(3)^2 + (-5)^2}

PQ = \sqrt{9 + 25}

PQ = \sqrt{34}

9. Midpoint (M) of segment LB, for L(8, 5) and B(-6, 2) is given as:

M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})

Let L(8, 5) = (x_1, y_1)

B(-6, 2) = (x_2, y_2)

Thus:

M(\frac{8 + (-6)}{2}, \frac{5 + 2}{2})

M(\frac{2}{2}, \frac{7}{2})

M(1, 3.5)

10. M = -10, N = -20

Distance between M and N, MN = |-20 - (-10)|

= |-20 + 10| = |-10|

MN = 10

5 0
4 years ago
A single tree produces about 2.6 x 10^2 lb of oxygen each year.The Amazon rainforest has about 3.9 x 10^11 trees.About how many
inna [77]
So to multiply standard form we multiply the 2 numbers and the 2 indices separately.

2.6*3.9=10.14
x^{2} *  x^{11} = x^{13}

So we've got 10.14*10^{13}
However Standard form must be 1 \leq x \leq 10 therefore we need to divide that by 10 but to get the same number we add one onto the power of 10.

So the answer is:

1.014*10^{14} lbs of oxygen are produced in the rainforest each year.
3 0
3 years ago
Is y-x=2x-2/3y a linear or nonlinear m?
Ivanshal [37]

Answer:

linear

Step-by-step explanation:

y - x = 2x - \frac{2y}{3}

\frac{5y}{3} = 3x

y = 9x/5

6 0
3 years ago
The ecology club has volunteered to clean up 4.8 kilometers of highway. The members are organized into 16 teams. Each team will
mamaluj [8]

0.3 km

you would do 4.8 divided by 16

8 0
3 years ago
The mean of six numbers is 11.<br> What is the sum of the six numbers?
Kitty [74]
The answer is 36
Hope it helps
7 0
3 years ago
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