please answer these honestly and take as much time as you need. ty.

Answer:

Step-by-step explanation:

Given  x^2 - 16x + 60 = -12

Using the completing the square method to find x;

subtract 60 from both sides

x2 - 16x + 60-60 = -12-60

x2 - 16x  = -72

Add square of the half of the coefficient of x to both sides

x2 - 16x + (1/2(-16))²  = -72 +  (1/2(-16))²

x^2 - 16x +64 = -72+64

(x-8)² = -8

Take the square root of both sides

√(x-8)² = √-8

x - 8 = ±√8i

x =  ±√8i+8

x =  ±2√2i+8

The solution of the given equation is:  [tex]x = 8+\sqrt{-8}[/tex]  and  [tex]\\x = 8-\sqrt{-8}[/tex].

Given that:

Equation:  [tex]x^2 - 16x + 60 = -12[/tex]

Simplify the above equation as:

x² - 16x + 60 = -12

x² - 16x = -12 - 60

x² - 16x = -72

Add 64 to each side of the equation to complete the square.

x² - 16x + 64 = -72 + 64

x² - 16x + 64 = -8

Write x² - 16x + 64 as (x - 8)² since it is a perfect square trinomial.

(x - 8)² = -8

Take the square root of both sides to get the solutions.

[tex]x - 8 = \±\sqrt{-8}\\x = 8\±\sqrt{-8}\\x = 8+\sqrt{-8}\\x = 8-\sqrt{-8}[/tex]

where i is the imaginary unit.

Hence, the value of x are:  [tex]x = 8+\sqrt{-8}[/tex]  and  [tex]\\x = 8-\sqrt{-8}[/tex].

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ6

Answer:

[tex]43.1 ^{\circ}F[/tex]

Step-by-step explanation:

Give that for every 1000 feet increase in the height there is a drop of [tex]1.7 ^{\circ}F[/tex] in temperature.

So, the rate of temperature drop with respect to height, R = 1.7/1000 [tex]^{\circ}F/\text{ft}[/tex].

If the change in height is [tex]\Deltah[/tex][tex]\Delta h[/tex] feet, the temperature drop,

[tex]\Delta T= \Delta h R \;^{\circ}F\cdots(i)[/tex]

The temperature on the ground is 49.9 [tex]^{\circ}F[/tex].

At the ground, the height is 0, so the change in height, \Delta h when the plane reaches an altitude of 4,000 feet, is

\Delta h =4000-0=4000 feet

Now, from equation (i), the temperature drop

[tex]\Delta T= 4000 \times \frac {1.7}{1000}=6.8\;^{\circ}F.[/tex]

Hence, the temperature at an altitude of 4000 feet [tex]= 49.9-6.8=43.1 \;^{\circ}F[/tex].

Answer:

75x+160<760

Step-by-step explanation:

uhh it should be that if it´s not i´m sorry

Answer:

75x+160>760

Step-by-step explanation:

Answer:

The first one is isosceles and the second one is scalene.

This is because the first triangle has two equal sides, therefore it is isosceles and the second one has no equal sides so it is scalene.

Answer:

obtuse triangle and scalene triangle (sana nakatulog sayo)

Answer:

for y,   y = x + z

for x,   x = y - z

for z,   z = y - x

Plz mark brainliest:)

Answer:

[tex]x=y-z[/tex]

[tex]y = x + z[/tex]

[tex]z=y-x[/tex]

Step-by-step explanation:

[tex]y+(-z)=(x+z)+(-z)[/tex]

same as ^equation for all three ways

To solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on the other side of the equation.

In our example,term [tex]x[/tex] will be moved to the left side. Notice that a term changes sign when it 'moves' from one side of the equation to the other.

To solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on the other side of the equation.

In our example,term [tex]z[/tex] will be moved to the left side. Notice that a term changes sign when it 'moves' from one side of the equation to the other.

It takes Maria 7.5 hours to assemble a furniture set alone.

Let x represent the amount of time in hours that it takes Maria to assemble a furniture.

Given that it take Adam to assemble a furniture set in 5 hours. If his sister

Maria helps, they can finish it in 3 hours, hence:

3 hours (1 / 5hour) + 3 hours (1 / x) = 1

3/5 + 3/x = 1

3/x = 2/5

x = 7.5 hours

It takes Maria 7.5 hours to assemble a furniture set alone.

Find out more at: https://brainly.com/question/21105092

Answer:

The cost to manufacture 63 chairs, and that cost is 2268.

Step-by-step explanation:

Mathematical Models

The cost to manufacture x chairs is given as the math model:

C(x)=36x

For example, to manufacture 10 chairs, we write:

C(10)=36*10=360

According to the explained above, the statement C(63)=2268 means we are calculating the cost to manufacture 63 chairs, and that cost is 2268.

Answer:

Any equation that has the same slope

Step-by-step explanation:

If two li es have the same slope that means they will never intercept

Answer: 2

Step-by-step explanation:

Answer:

ill help

Step-by-step explanation:

Answer:

Sum of angles 2 and 3 will be equal to sum of angles 1 and 4.

As per the opposite angle theoreom: "When two lines cross, four angles are created and the opposite angles are equal" Here:

Answer:

x=5, <E = 10°

Step-by-step explanation:

Since triangles ENP and DFM are congruent,

m<E = m<D

5x-15 = 2x

3x = 15

x = 5

<E = 5x-15 = 5*5 - 15 = 25-15 = 10°

Answer:

3hours and 15 mins

Step-by-step explanation:

210 divied by 3=70

70=per hour

4 hours=280

70 divied by 2= 35

.5=35

280+35=315

315 miles in 4.5 hours

Explicación paso a paso:

La distancia recorrida el primer día = 500 m

Si aumenta la distancia en 200 m diariamente, entonces el total corrido diariamente formará una progresión aritmética con el último término de 10 km (10,000) como se muestra;

500, (500 + 200), (500 + 200 + 200) ... 10,000

500, 700, 900 ... 10,000

para que sepamos el número total de días usados ​​para la carrera, usaremos la fórmula para calcular el enésimo término de una secuencia aritmética como se muestra;

[tex]T_n = a+(n-1)d[/tex] where;

n es el número de términos

a es el primer término de la secuencia

d es la diferencia común

Dado a partir de la secuencia:

a = 500

Tn = 10,000

d = 700-500 = 900-700 = 200

Sustituir en la fórmula y calcular el valor de n

[tex]10,000 = 500+(n-1)*200\\10,000 = 500+(200n-200)\\10,000 = 500-200+200n\\200n = 10,000-300\\200n = 9,700\\n = 9,700/200\\n = 48.5[/tex]

Andrea habría alcanzado los 10.000km tras 48,5 días de carrera

Answer:

Step-by-step explanation:

1: 10

2: 100

3: 1000

4: 10000

5:100000

6:1000000

7:10000000

8:100000000

9:1000000000

9.6 times 10 to the ninth power is...

0:9.6

1:96

2:960

3:9600

4:96000

5:960000

6:9600000

7:96000000

8:960000000

9:9600000000

the second equation is 2000 so then i did this

9600000000

             2000

______________

480000

which is in decimal form i believe is...

4.8 x 10 to the sixth power i hope its right and it helped :)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex](9.6 \times {10}^{9} ) \div (2 \times {10}^{3} ) = [/tex]

[tex] \frac{9.6 \times {10}^{9} }{2 \times {10}^{3} } = \frac{96 \times {10}^{ - 1} \times {10}^{9} }{2 \times {10}^{3} } = \\ [/tex]

[tex] \frac{96}{2} \times {10}^{9 - 1} \times {10}^{ - 3} = \\ [/tex]

[tex]48 \times {10}^{8} \times {10}^{ - 3} = \\ [/tex]

[tex]48 \times {10}^{8 - 3} = [/tex]

[tex]48 \times {10}^{5} = [/tex]

[tex]4.8 \times {10}^{6} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus the correct answer is the second option.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The solution to the inequality is [tex]y[/tex] > [tex]-17[/tex]

Answer:

The cost will be the same for 2 club members as for 1 non-member.

Step-by-step explanation:

There will never be a number of tickets where the price for a given number of club members is the same for the same number of non-members.

However, if two club members purchase tickets, their cost is 2($3) = $6.

If one non-member purchases a ticket, the cost is 1($6) = $6.

Answer:

[tex]y=\frac{-1}{3}x-4[/tex]

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step 1: Define

Point (9, -7)

Point (-6, -2)

Step 2: Find slope m

[tex]m=\frac{-2-(-7)}{-6-9}[/tex]

[tex]m=\frac{-2+7}{-15}[/tex]

[tex]m=\frac{5}{-15}[/tex]

[tex]m=\frac{-1}{3}[/tex]

[tex]y=\frac{-1}{3}x+b[/tex]

Step 3: Find y-intercept b

[tex]-7=\frac{-1}{3}(9)+b[/tex]

[tex]-7=-3+b[/tex]

[tex]-4=b[/tex]

Step 4: Write linear equation in slope-intercept form

[tex]y=\frac{-1}{3}x-4[/tex]

Answer:

243

Step-by-step explanation:

(5-2) = 3

3 to the power of 5 is 3x3x3x3x3

3x3x3x3x3 = 243

Answer:

(5-2)^5= (3)^5 = 3*3*3*3*3 = 9*9*3 = 243

Step-by-step explanation:

Answer:

128/4 or 32

Step-by-step explanation:

Answer:

6:05 PM

Step-by-step explanation:

Answer:

6:05 P. M.

Step-by-step explanation:

3 hours after 2:45 pm is 5:45 pm. 20 minutes after 5:45 pm is 6:05 pm.

Answer:

most of them

Explanation:

Answer:

n=12

Hope this helps!!!!!

Answer:

I believe it would be no real number

Step-by-step explanation:

If you use PEMDAS and multiply the (5-2c) by 2 you get 10-4c. You'd then have to isolate the c and move it over by adding 4c to each side, which would make the inequality 0>10 or even if you flipped it to be -10>0. Both of which are false.

Answer:

11

Step-by-step explanation:

Let the number be x.

Then by the question,

2x+4 = 3x-7

x=11

Answer:

Let the no. be x

then according to the question,

[tex](x \times 2) + 4 = 3x - 7[/tex]

[tex]2x - 3x = - 7 - 4 \\ = > - x = - 11 \\ = > x = 11[/tex]

Answer:

17/15

Step-by-step explanation:

Sec A = 1/ Cos A

Cos A = Adjacent / Hypotenuse

1/Cos A = Hypotenuse / Adjacent

So, Sec A = Hypotenuse/Adjacent

= AB/AC

= 17/15

Answer:

17/15

Step-by-step explanation:

Secant is the inverse of cosine.

Cosine is the adjacent side divided by the hypotenuse.

cos A = 15/17

sec A = 17/15

Answer:

Train =9 hours

Bus =12 hours

Step-by-step explanation:

Find attached the solution

Let the time taken by train be x

So the time taken by bus = 3+x

Speed of train =79 mph

Speed of bus = 59.25mph

Answer:

By the amount of time it took you guys to get there

Step-by-step explanation:

For example, if I start walking at 8:55 and arrive by 9:10, then it took me about 15 minutes to get there.

If you start walking at 9:10 and arrive by 9:20, it took you 10 minutes to get there meaning you walked faster.

Hope I helped.