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3 years ago

3b^2-4b+1=0 solve each equation with the quadratic formula

Mathematics

1 answer:

hjlf3 years ago

7 0

First multiply 3 and the 1
Then simplify b^2-4b+3=0
Then divide both numbers by 3 (b-3/3)(b-1/3)=0
If it doesn’t go in even like the second term then bring it before the B
Then equal both terms to 0 and solve

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Find the angle between the given vectors. Round your answer, in degrees, to two decimal places. u=⟨2,−6⟩u=⟨2,−6⟩, v=⟨4,−7⟩

NISA [10]

Answer:

$\theta = 108.29$

Step-by-step explanation:

Given

$u =$

$v =$

Required:

Calculate the angle between u and v

The angle $\theta$ is calculated as thus:

$cos\theta = \frac{u.v}{|u|.|v|}$

For a vector

$A =$

$A = a * b$

$cos\theta = \frac{u.v}{|u|.|v|}$ becomes

$cos\theta = \frac{.}{|u|.|v|}$

$cos\theta = \frac{2*6+4*-7}{|u|.|v|}$

$cos\theta = \frac{12-28}{|u|.|v|}$

$cos\theta = \frac{-16}{|u|.|v|}$

For a vector

$A =$

$|A| = \sqrt{a^2 + b^2}$

So;

$|u| = \sqrt{2^2 + 6^2}$

$|u| = \sqrt{4 + 36}$

$|u| = \sqrt{40}$

$|v| = \sqrt{4^2+(-7)^2}$

$|v| = \sqrt{16+49}$

$|v| = \sqrt{65}$

So:

$cos\theta = \frac{-16}{|u|.|v|}$

$cos\theta = \frac{-16}{\sqrt{40}*\sqrt{65}}$

$cos\theta = \frac{-16}{\sqrt{2600}}$

$cos\theta = \frac{-16}{\sqrt{100*26}}$

$cos\theta = \frac{-16}{10\sqrt{26}}$

$cos\theta = \frac{-8}{5\sqrt{26}}$

Take arccos of both sides

$\theta = cos^{-1}(\frac{-8}{5\sqrt{26}})$

$\theta = cos^{-1}(\frac{-8}{5 * 5.0990})$

$\theta = cos^{-1}(\frac{-8}{25.495})$

$\theta = cos^{-1}(-0.31378701706)$

$\theta = 108.288386087$

<em></em> $\theta = 108.29$ <em> (approximated)</em>

4 0

2 years ago

PLEASEEEEE HELLPPPP ME I NEED HELP ASAPPP I CANNOT FAIL THIS!!!!!!!

Elodia [21]

Answer:

1. Both Dan and Tess are correct.

Tess:

0.15 * 24.50 = 3.675

24.5 - 3.675 = 20.825

0.1 * 20.825 = 2.0825

20.825 + 2.0825 = 22.9075

Dan:

0.85 * 24.50 = 20.825

20.825 * 1.1 = 22.9075

Both Dan and Tess used methods that provided the correct answer. Both methods follow the same path, but Dan's method simply took less steps since he used percentages that would take out the correct number, unlike Tess' percentages which would give you the number that you would then need to take out.

2. First, convert Amy's and Mike's numbers to a decimal of the whole so it is easier to compare the numbers.

13% = 0.13 of the whole

Dan has 0.14 of the whole

0.5/6 = 0.083.. of the whole

Dan used the greatest amount of milk, using 0.14 of the 6 gallon container.

2p + 12 = 58 | Create an equation to show the prices relations

2p = 46 | Take out the price of the concert ticket to leave us with the passes.

p = 23 | Divide by 2 to find the cost of each pass.

x ≤ (18 - 6.5 - 5.75)/1.15

18 - 6.50 = 11.5 | Take out the price of the notebook from the total.

11.5 - 5.75 = 5.75 | Take out the amount of money that she wishes to save.

5.75 / 1.15 = 5 | Divide by the price of each candy to find the max amount that she can buy.

Andrea has enough money to buy up to 5 candy bars.

x ≤ 5

8 0

3 years ago

Read 2 more answers

Each dimension of a parallelogram is multiplied by a positive number n. Write an expression for the area of the new parallelogra

mixas84 [53]

Answer:

b*h

Step-by-step explanation:

therethere are four sides to a parallelogram and two of them would be h and b and you must multiply that by n then each other

New area:

(b*n) * (h*n) = (b*h)n^2

5 0

3 years ago

Mischa wrote the quadratic equation 0=-x^2+4x-7 in standard form. If a = -1, what is the value of c in her equation?

gayaneshka [121]

The correct answer
C= -7

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3 years ago

7+2x/3=5 .............

borishaifa [10]

Answer:

x= -3

Step-by-step explanation:

7 + 2x/3 = 5

Subtract 7 from both sides,

2x/3 = 5-7

2x/3 = -2

Multiply by 3,

2x = -2*3

Divide by 2,

x = -2*3 / 2

x = -3

5 0

3 years ago