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olasank [31]
3 years ago
12

Solve the quadratic equation by completing the square. x2+6x+7=0 First, choose the appropriate form and fill in the blanks with

the correct numbers. Then, solve the equation. If there is more than one solution, separate them with commas.
Mathematics
1 answer:
kirill [66]3 years ago
5 0

Answer:

x^2+6x-4=0 x^2+6x=4 x^2+6x+9=13 (x+3)(x+3)=13 x+3=+or-(13^1/2) x=-3+or-13^1/2

Step-by-step explanation:

sry if im wrong :< if im right, can i have brainliest? have a wonderful day/night :D

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Rachel hikes at a steady rate from a ranger station to a campground that is 20 mi away. After 2 h, she is 13 mi from the campgro
Angelina_Jolie [31]

Answer:

-3.5

The distance Rachel covers per hour is 3.5 miles

Step-by-step explanation:

After 2 hours, she is 13 miles from the campground.

After 4 hours, she is 6 miles from the campground.

Let x be the number of hours, y be the number of miles from the campground, then we have two points (2,13) and (4,6).

The equation of the line passing through the points (x_1,y_1) and (x_2,y_2) is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

Substitute:

x_1=2\\ \\y_1=13\\ \\x_2=4\\ \\y_2=6

Hence,

y-13=\dfrac{6-13}{4-2}(x-2)\\ \\y-13=-3.5(x-2)\\ \\y=-3.5x+7+13\\ \\y=-3.5x+20

The slope of the line is -3.5 and it represents that  the distance Rachel covers per hour is 3.5 miles.

8 0
3 years ago
Need answer important pls
Natali5045456 [20]

Answer:

C {-2 1/6, 1 5/6}

Step-by-step explanation:

This will solve your answer

7 0
2 years ago
A sum of money is invested for 3 years at a certain rate of interest. Had the rate of interest been 1 %more it would have fetche
alexira [117]

Answer:

600

Step-by-step explanation:

Use the formula

Simple interest = (principle * time * rate) / 100

8 0
2 years ago
Directions: Find the slope be<br>7. (-1, -11) and (-6, -7)​
asambeis [7]

Answer:

slope = -0.8 or -59/5

y = -0.8x – 11.8

or

y = -4/5x - 59/5

8 0
3 years ago
Customers leaving a subway station can exit through any one of three gates. Assuming that any particular customer is equally lik
swat32

Answer: 0.0123

Step-by-step explanation:

Given : Customers leaving a subway station can exit through any one of three gates.

The probability of selecting any particular gate = \dfrac{1}{3}

Sample size : n= 4

Using binomial distribution,

P(x)=^nC_xp^x(1-p)^{n-x}, where P(x) is the probability of getting success inn x trials , n is the number of trails and  p is the probability of getting success in each trial.

Then , the probability that among a sample of 4 customers, they all exit through the same gate.

P(4)=^4C_4(\dfrac{1}{3})^4(\dfrac{2}{3})^{0}=(1)(\dfrac{1}{3})^4=0.0123456790123\approx0.0123

Hence, the  probability that among a sample of 4 customers, they all exit through the same gate = 0.0123

6 0
3 years ago
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