I need help please I have to turn this in 15 minutes it’s urgent

Answer:

1) x = 6 + 2√19 or x = 6 - 2√19

2a) (x + 5)²

2b) (x + 5/2)²

3) x = 22 or 18

Step-by-step explanation:

1) x² - 12x = 40

First step is;

We take ½ of the x-term and square it.

Thus;

(½ × -12)² = (-6)² = 36

Second step is to add the result in step 1 to both sides;

x² - 12x + 36 = 40 + 36

x² - 12x + 36 = 76

On the left, is a perfect square that can be written as (x - 6)²

Thus, the new equation is;

(x - 6)² = 76

Taking square root of both sides gives;

x - 6 = ±√76

x - 6 = ±2√19

x = 6 + 2√19 or x = 6 - 2√19

2a) we want to find the value of c that makes x² + 10x + c the perfect square.

From completing the square in question 1 above, we see that;

c = (b/2)²

From ax² + bx + c, we can see that in this case, b = 10

Thus;

c = (10/2)²

c = 5²

c = 25

Thus, the trinomial is;

x² + 10x + 25

As a perfect square, it is;

(x + 5)²

2b) x² + 5x + c

Similar to 2a above;

b = 5

Thus; c = (5/2)²

c = 25/4

Trinomial is; x² + 5x + 25/4

As a perfect square, we have;

(x + 5/2)²

3) We want to solve x² - 40x + 396 = 0

This can be rewritten as;

x² - 40x = -396

First step is;

We take ½ of the x-term and square it.

Thus;

(½ × -40)² = 400

Second step is to add the result in step 1 to both sides;

x² - 40x + 400 = -396 + 400

x² - 40x + 400 = 4

On the left, is a perfect square that can be written as (x - 20)²

Thus;

(x - 20)² = 4

Taking square root of both sides gives;

x - 20 = ±√4

x - 20 = ±2

x = 20 + 2 or x = 20 - 2

x = 22 or 18

Answer:

The energy, 'E', increases by a factor of 1000,000,000

Step-by-step explanation:

The given equation relating moment magnitude of an earthquake and the energy (in ergs) released by it obtained from a similar question online is presented as follows; [tex]M_W = \dfrac{2}{3} \times log_{10} (E) - 10.7[/tex]

Where;

[tex]M_W[/tex] = The moment magnitude

E = The energy

If [tex]M_W[/tex] is increased by 6, we have;

Δ[tex]M_W[/tex] = 6

[tex]\Delta M_W = M_{W2} - M_{W1} = 6[/tex]

From which we get;

[tex]\Delta M_W = M_{W2} - M_{W1} = 6 = \dfrac{2}{3} \times log_{10} (E_2) - 10.7 - \left(\dfrac{2}{3} \times log_{10} (E_1) - 10.7 \right)[/tex]

[tex]6 = \dfrac{2}{3} \times log_{10} (E_1) - 10.7 - \left(\dfrac{2}{3} \times log_{10} (E_2) - 10.7 \right) = \left(\dfrac{2}{3} \right ) \times \left ( log_{10} (E_2) - log_{10} (E_1) \right)[/tex]

[tex]6 = \left(\dfrac{2}{3} \right ) \times \left ( log_{10} (E_2) - log_{10} (E_1) \right) = \left(\dfrac{2}{3} \right ) \times log_{10} \left( \dfrac{E_2}{E_1} \right)[/tex]

[tex]6 = \left(\dfrac{2}{3} \right ) \times log_{10} \left( \dfrac{E_2}{E_1} \right)[/tex]

[tex]log_{10} \left( \dfrac{E_2}{E_1} \right) = 6 \times \left(\dfrac{3}{2} \right ) = 9[/tex]

Therefore;

[tex]\dfrac{E_2}{E_1} = 10^9[/tex]

E₂ = E₁ × 10⁹ = 1000,000,000 × E₁

Therefore, when the moment magnitude, [tex]M_W[/tex], increases by 6, the energy increases by a factor of 1000,000,000

Answer:

[tex]y = 2.5x + 75[/tex]

Step-by-step explanation:

Answer:

4 th option

Step-by-step explanation:

Using synthetic division to find the quotient

- 2  |  1    - 4    + 5    - 2

         ↓   - 2     + 12   - 34

      ------------------------------

        1    - 6     + 17      - 36 ← remainder

The quotient is x² - 6x + 17

Then

[tex]\frac{x^3-4x^2+5x-2}{x+2}[/tex] = x² - 6x + 17 - [tex]\frac{36}{x+2}[/tex]

Answer:

steak, chicken, and hamburger are meats. 3 meats.

The French fries and mashed potatoes are potatoes. 2 Potatoes.

And Green beans and peas are green vegetables. 2 Vegetables.

I think we just do 3 x 2 x 2 = 12 Meals.

hope that helps bby<3

Answer:

7y - 4x

Step-by-step explanation:

Given

- 3(2x - y) + 2y + 2(x + y) ← distribute parenthesis

= - 6x + 3y + 2y + 2x + 2y ← collect like terms

= 7y - 4x

If we solve for Y then answer is..

Y=b-4

If we solve for B then answer is..

b=Y+4

x = 3

y = 8

(3, 8)

Hope this helps! :)

Answer:

One kids ticket is $4.80 and one adult ticket is $9.60

Step-by-step explanation:

Create a system of equations where k is the cost of a kids ticket and a is the cost of an adult ticket:

6k + 2a = 48

k = 1/2a

Solve by substitution by substituting the second equation into the first one:

6k + 2a = 48

6(1/2a) + 2a = 48

Simplify and solve for a:

3a + 2a = 48

5a = 48

a = 9.6

Find the cost of a kids ticket by dividing this by 2, since they are on sale for half the price of adult tickets.

9.6/2

= 4.8

One kids ticket is $4.80 and one adult ticket is $9.60

Answer:

Angle 1 - 148

Angle 2 - 32

Angle 3 - 73

Angle 4 - 148

Angle 5 - 105

Step-by-step explanation:

Angle 1 forms a line with angle 32 and equals 180, therefore Angel 1 = 180 - 32 = 148

Angle 2 has the same value as the opposing angle, 32

Angle 3 combined with 32 and 75 equals 180, therefore

Angle 3 = 180 - 32 - 75

Angle 3 = 73

Angle 4 is equal to angle 1

Angle 5 combined with 43 and Angle 2 (32) equals 180

Angle 5 = 180 - 43 - 32

Angle 5 = 105

Answer:

A=2πrh+2πr2

Step-by-step explanation:youre welcome

Step-by-step explanation:

πr^2+2πrh

(r= radius, h= height)

Answer:

The answer is "[tex]\frac{A}{(x-2)} + \frac{B}{(x+3)}[/tex]"

Step-by-step explanation:

Let the given value is: [tex]\frac{x-6}{x^2+x-6}[/tex]

[tex]\to \frac{x-6}{x^2+x-6}=\frac{x-6}{x^2+(3-2)x-6}\\\\[/tex]

                [tex]=\frac{x-6}{x^2+(3-2)x-6}\\\\ =\frac{x-6}{x^2+3x-2x-6}\\\\ =\frac{x-6}{x(x+3)-2(x+3)}\\\\ =\frac{x-6}{(x+3)(x-2)}\\\\=\frac{A}{(x-2)} + \frac{B}{(x+3)}[/tex]

Answer:

Step-by-step explanation:

The word "opposite" is indicated by the - sign out front. Mathematically, we multiply a -1 into the parenthesis which, not coincidentally, changes the signs of everything inside the parenthesis, making them "opposite". The opposite of this polynomial is

- a - b - c

Answer:

its c

Step-by-step explanation:

Answer:

Step-by-step explanation:

A term is a combination of letters and/or numbers separated by a + or a - sign. Our polynomial has 5 terms.

A coefficient is a number stuck to a letter...it HAS to be stuck to a letter to be a coefficient. Our coefficients are 1, -198, 5, and -2 (notice I let out the 4).

That's because a constant is a number NOT stuck to a letter. The 4, then, is the only constant in this polynomial.

The leading coefficient is the number that is stuck to the highest-degree variable. Our highest degree variable is a 12 in 5x^12. So the leading coefficient is 5. In order to have a polynomial in standard form, we always list the terms in order of descending powers (highest power to lowest).

The degree is also the same as the highest power in our polynomial. Ours is a 12th degree.

Answer:

5/12

Step-by-step explanation:

Here, we want to select the probability that the selected student is a sophomore given that he is a boy

In this case;

P(B) = P(boy)

P(A) = P(sophomore)

What we know is that the probability for any section is simply the number of that section divided by the total number of students which is 12 + 18 = 30

From the table;

P(B) = 12/30

P(An B) = 5/30

So;

P(A|B) = 5/30 divided by 12/30

= 5/30 * 30/12 = 5/12

Answer:

[tex]b + 3 + \frac{4}{3b}[/tex]

Step-by-step explanation:

[tex]\frac{3b^2 + 9b + 4}{3b}[/tex]

=> 3b²/3b = b

=> 9b/3b = 3

=> 4/3b = 4/3b

Therefore the final answer would be;

[tex]b + 3 + \frac{4}{3b}[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

Pattern P, the nth term formula:

Pattern Q, the nth term formula:

The difference is:

It shows the difference increase by 6 as the number of terms increase.

According the the difference of nth terms, the correct statement is:

Answer:345678098321

Step-by-step explanation: I think so lol

Answer:

x+5x=180( adj.suppl.ls)

6x=180

6x÷6=180÷6

x=30

Let us first find the hieght of the triangle:

= 16² = p² + 8²

= 256 = p² + 64

= 256 - 64 = p²

= √192 = p

= 13.85 = p

Area of equilateral trianglular prism:

= ⅓× l² × h

= ⅓ × 16² × 13.85

= 256 × 13.85 × ⅓

= 1181.86 cm³

= 1182 cm³ (approx)

Answer:

-195.34

Step-by-step explanation:

Given data :

-49(4)+[tex]\frac{2}{3}[/tex]

It can be calculated as :

-196+0.66

-195.34

Therefore, given expression is equivalent to -195.34

Multiply the starting height (60) by the height of each bounce (3/4) raised to the number of bounces (x)

H = (60)(3/4)^x

The answer to the given expression is:

H = 60(3/4)^x

A number is raised by another number which is called the power/exponent which implies that the number is multiplied by itself for that many number of times.

After every release, it bounces 3/4th of the previously released height.

After 1st bounce H = 60(3/4)

After 2nd bounce, it will be 3/4th of the previous H,

∴ H = 60(3/4)(3/4) = 60(3/4)^2

Similarly, after the 3rd bounce, it will be 3/4th of the previous H,

∴ H = 60(3/4)^2 * (3/4) = 60(3/4)^3

So it goes on like this. After x bounces,

H = 60(3/4)^x

Learn more about the Exponents at

https://brainly.com/question/11464095

#SPJ2

Answer:

p = 18

Step-by-step explanation:

given : n = -3

p = 2n^2

p=2*(-3)^2

p=2*8

p=18

Answer:

11 to 12 weeks

Step-by-step explanation:

You need to divide. Your goal is $3500, and you get paid 300 dollars a week. How many weeks will it be till you can get your car?

$3500 divided by 300 = 11.666667

So it would take 12 weeks until you can get the car.

Answer:

A/C

Step-by-step explanation:

Since the sum of the angles in a triangle equals 180°, and angle C is 90°.

That means angles A and B add up to 90°, that is, they are complementary angles. Therefore the cosine of B equals the sine of A.

We saw on the last page that sin A was the opposite side over the hypotenuse, that is, a/c. Hence, cos B equals a/c.

Your welcome! :)

Answer:

c)

Step-by-step explanation:

please don't trust ;-;

21.7²=17²+13.5²

21.7²=289+182.25

21.7²=471.25

21.7=√471.25

21.7=21.7

22(to the nearest whole number)

Answer:  Yes, it is a right triangle

But only if you rounded everything to the nearest whole number.

Otherwise, it's a bit off (but fairly close).

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Explanation:

If that was a right triangle, then a^2+b^2 = c^2 would be the case (pythagorean theorem). The a,b,c refers to the sides of the triangle. The 'c' is always the longest side, where 'a' and 'b' can be in any order you want.

We have

Which leads to

a^2+b^2 = c^2

(13.5)^2+(17)^2 = (21.7)^2

182.25 + 289 = 470.89

471.25 = 470.89

We don't get the same thing on both sides, so we don't have a right triangle.

However, your teacher mentions to round the results to the nearest whole number. The 471.25 on the left side becomes 471, while the 470.89 becomes 471.

So while the equation 471.25 = 470.89 is definitely false, both sides are close enough that they round to 471 = 471 which is true.

In other words, this isn't a right triangle but it's close enough to one. Based on this rounding criteria, Brian is correct.

Answer:

√200 and 5, √125 and 10

Step-by-step explanation:

Answer:

B. 3 x 3 x 3 x 3 = 81

Step-by-step explanation:

exponential expression 3⁴

This means multiplying 3 four times

= 3 × 3 × 3 × 3

= 81

B. 3 x 3 x 3 x 3 = 81 is the answer

Similarly, if you have 5³

This means you'll multiply 5 three times

5³ = 5 × 5 × 5

= 125

And

3¹ =

3 one time

3¹ = 3