Which equation has the same solution as x^2-6x-12=0
1) (x+3)^2=21
2) (x-3)^2=21
3) (x+3)^2=3
4) (x-3)^2=3

Step-by-step explanation:

The equation is y = -3x + 6.

Answer:

3y = 5x + 15

Step-by-step explanation:

Slope = Change in y-cordinates

---------------------------------

Change in x-cordinates

= 0 - (-5)/-3 - (-6)

= 5/3

Using point (-3,0)

y - y1 = m(x - x1)

y - 0 = 5/3 (x - (-3))

y = 5/3 (x + 3)

Expand the bracket

y = 5x/3 + 15/3

Multiply through by 3

3y = 5x + 15

Answer:

2

Step-by-step explanation:

figure it in "worker days"

4 builders times 18 days= 72 worker days

72 days/ 12= 6 workers

have 4 workers now, so you need 2 more

Answer:

answer is 2

Step-by-step explanation:

hope it help you

Answer:

1600

Step-by-step explanation:

long= 8ft

tall= 20

width= 10

Answer:

-8≤k≤1

Step-by-step explanation:

k²+7k-8≤0

(k+8)x(k-1)≤0

k1= -8

k2= 1

-8≤k≤1

Answer:

5310

Step-by-step explanation:

6% of 4500=270

270x3years=810

4500+810=5310

Lara will be paying the total amount is $5310

Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.

Given that, Lara borrowed $4500 for some home repairs. She will be paying 6% in simple interest over the next three years.

We need to find the total amount she will be paying on the loan,

So, the formula for simple interest is - SI = PRT / 100

P = principal, r = rate and t = time

Therefore,

SI = 4500 x 6 x 3 / 100

= 45 x 18 = 810

The interest = $810

She will pay = interest + principal = 810 + 4500 = $5310

Hence, Lara will be paying the total amount is $5310

Learn more about simple interest click;

https://brainly.com/question/25845758

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Answer:

65%

Step-by-step explanation:

65% + 35%=100%

Answer:I don't know this one

Step-by-step explanation:

544500 ......... is the answer

Answer:

The area of the rectangle is 544, 500 cm^2 or 54.45 m^2. (It depends on the requested unit—in cm squared or meters squared.)

Step-by-step explanation:

Area of a rectangle = length * width

A = 990 cm * 550 cm

A = 544, 500 cm^2

A = 54.45 m^2

Hope this helps; have a wonderful day!

Answer:

f(x)=-3(x-8)(x+2)

Step-by-step explanation:

f(8)=-3(8-8)(8+2)=-3×0×10=0

f(-2)=-3(-2-8)(-2+2)=-3×(-10)×0=0

f(0)=-3×(0+8)×(0+2)=-3×8×2=-48

Answer:

0.5/3 or 16.67

Step-by-step explanation:

Slope is y 2 minus y 1 / x 2 minus x 1.

1-0.5/6-3

0.5/3

Answer:

Step-by-step explanation:

First

a+s=375

a=375-s

Next

5a+3s=1375, now using a found above makes this equation become

5(375-s)+3s=1375

1875-5s+3s=1375

1875-2s=1375

-2s=-500

s=250, since a=375-s

a=375-250

a=125

So 125 adult and 250 student tickets were sold.

Answer:

Triangle A: 38 degrees

Triangle B: Unknown (not enough information)

Triangle C: Unknown (not enough information)

Triangle D: 70 degrees

Triangle E: 40 degrees

Step-by-step explanation:

Work for Triangle A: 90 + 52 = 142. 180 - 142 = 38.

Work for Triangle B: Unidentifiable because there is no indicator to tell you if any of the angles/lines are equal. Generally there will be a "double lined" indicator in the corners of which a triangles angles are equal.

Work for Triangle C: Same as B.

Work for Triangle D: 90 + 20 = 110. 180 - 110 = 70.

Work for Triangle E: 90 + 50 = 140. 180 - 140 = 40.

Answer:

38r^4 ( I hope this was helpful) >;D

Answer:

7y+2

Step-by-step explanation:

3y+5y=7y

5-3=2

Answer: 50 and 900 is correct

Step-by-step explanation:

50 and or 100

Answer:51

Step-by-step explanation:

Answer:

there are no choices

Step-by-step explanation:

Answer:

- 13

Step-by-step explanation:

Given

- 2 + 3(1 - 4) - 2 ← evaluate parenthesis

= - 2 + 3(- 3) - 2 ← perform multiplication

= - 2 - 9 - 2

= - 13

Step-by-step explanation:

solution

= -2+3(3)-2

=-2+3*3-2

= -2+9-2

=-11-2

= -9

Answer:

The total value of the liquid in the container is about $41,866,666.67.

Step-by-step explanation:

A spherical container has a diameter of 100 centimeters.

It is filled with a liquid that costs $80 per cubic centimeter.

And we want to determine the total value of the liquid in the container.

We can start by finding the volume of the container.

Since the container has a diameter of 100 centimeters, its radius if 50 centimeters.

The volume of a sphere is given by:

[tex]\displaystyle V=\frac{4}{3}\pi r^3[/tex]

Substitute. We will also use 3.14 for π. So:

[tex]\displaystyle =\frac{4}{3}(3.14)(50)^3=523333.33...\text{ cm}^3[/tex]

(Try not to round intermediate values.)

Since each cubic centimeter costs $80, we will multiply the total volume by the cost per cubic centimeter to find the total value. Thus, the total value is:

[tex](523333.\overline{3})(80)\approx \$41, 866, 666.67[/tex]

The total value of the liquid in the container is about $41,866,666.67.

Answer:

Step-by-step explanation:

sin²x+cos²x = 1. No Matter What is the value of x. For Explanation: Sin x is opposite_side/hypotenuse of a Right angle triangle. Cos x is adjacent_side/hypotenuse of a Right angle triangle.

Answer:

No, he not correct because he only ran 4 mi

Step-by-step explanation:

If he walks for 6 min out of the 38 min, then he ran for 32 min.

d = rt        1 mi = 8r

r = 1/8 = 1 mi/8 min   Since he ran 32 min we have

d = 1/8(32) = 4 mi.

No, he not correct because he only ran 4 mi

Answer:

Step-by-step explanation:

there is an obscure rule that looks like this

DB/AB = AB/CB

AB=40 for this problem

DB = x

CB = 20

then

X/40 = 40/20

X = 40(40/20)

X = 40(2)

X=80

I find that hard to believe too,   :D

but the rule says that's right

19.87 = 100%

If you divide both sides by ten, you would get what ten percent is.

1.987 = 10%

Multiply this by two to get 20%.

3.974 = 20%

Minus twenty percent from the original amount.

18.87 minus 3.974 = 15.886 after the discount.

Answer:

-9

Step-by-step explanation:

(x + 89)° + (x + 109)° = 180°

(interior angles on the same side of transversal)

(2x + 198)° = 180°

2x + 198 = 180

2x = 180 - 198

2x = - 18

x = - 18/2

x = - 9