I need help with this question can you explain it step by step so I can know how to do the math
I need help with this question can you explain it - 1

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

7x^2 - 4x - 4 = 0

The quadratic formula is x = (-b±√(b^2 - 4ac))/2a when ax^2+bx+c=0.

Use direct substitution.

x = (-(-4)±√((-4)^2-4(7)(-4)))/2(7)

simplify

x = (4±√(16+112))/14

x = (4±√(128))/14

factor greatest perfect square out of √(128)

x = (4±√(64)*√(2))/14

simplify

x = (4±8*√(2))/14

greatest common factor

x = (2(2)±4(2)*√(2))/7(2)

x = (2)(2±4*√(2))/7(2)

x = (2±4*√(2))/7

Possible solutions for quadratic equation

x_(1) = (2+4*√(2))/(7)

x_(2) = (2-4*√(2))/(7)


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How do i slove x+ 3y=-24 to a slope intercept
What is 100,000,000 written as a power of ten?a. 10^8b. 10^9c. 10^10d. 10^11
Find the volume of a cube whose side length is 5x^2
What is the answer to 5 times 3/4

At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m. Find the exact area of the larger circle
Find the exact area of the smaller circle.
Write an expression to find the exact area of the sidewalk (shaded portion).
Find the approximate area of the sidewalk. Use 3.14 to approximate π.
Answer:
Find the exact area of the larger circle. Show your work. (1 point)
A= N x 11 2 A = n?




Find the exact area of the smaller circle. Show your work. (1 point)
A= n 9 2 A=n?



Write an expression to find the exact area of the sidewalk (shaded portion). Show your work. (2 points) 11 2 – 9 2 x n


Find the approximate area of the sidewalk. Use 3.14 to approximate π. Show your work. (1 point) 11 2 x 3.14 – 9 2 x 3.14=

Answers

Well first lets find area of the entire circle itself 

We have the radius be 11.

Pie x radius^2 = A

11 squared is 121.

So we have:

Pie x 121 = area

Pie is 3.14.

The area of the entire circle is exactly 379.94 m.

Now lets put this off to side and solve the inner circle.

Same thing: 

Radius of the inner circle is 9.

Pie x radius^2 = Area

9 squared is 81.

So now:
Pie x 81 = area

Pie is 3.14

3.14 x 81 = exactly 254.34.

The inner pen is exactly 254.34 m

So now knowing :

The whole circle is 379.94
And the inner circle is 254.34

We can subtract the inner circles area from the whole circle and get the area of the outer circle/sidewalk.

379.94 - 254.34 = 125.6

The outer circle/sidewalk is 125.6 m

With this info we can answer your questions.

The exact area of the larger circle is 379.94 m

The exact area of the inner circle is 254.34 m

Expression:
If
Large circle = L
Small circle = S
Sidewalk = W

An expression would be L - S = W

The sidewalk area is exactly 125.6 m

To show your work read what i did above and just show how i did Pie x radius = area.

Hope this helps!
Brainliest is always appreciated if you feel its deserved.

Write the slope-intercept form of the equation of the line through the given point with the given slope. through: (-5, -1); slope = negative 3 over 5

Answers

Answer:

The slope-intercept form of the equation of the line is y = -(3)/(5) \cdot x -4.

Step-by-step explanation:

We know that the slope-intercept form of the equation of the line is represented by:

y = m\cdot x + b

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

m - Slope, dimensionless.

b - y-Intercept, dimensionless.

From statement we find that m =-(3)/(5). If x = -5 and y = -1, the value of the y-intercept is:

-1 =-(3)/(5)\cdot (-5)+b

-1 = 3 + b

b = -4

The slope-intercept form of the equation of the line is y = -(3)/(5) \cdot x -4.

What is the half of 62

Answers

The half of the given term 62 is 31.

How to divide a quantity into finite equal parts?

Suppose that there are k things which are to be divided in P parts, then

will give the amount that each one of P parts would get from k, that will make equal distribution of k things in P parts.

The half of 62 can be calculated by dividing the given term by 2.

62 / 2 = 31

Thus, the half of the given term 62 is 31.

Learn more about division;

brainly.com/question/21416852

#SPJ2

The answer is 31. :)

PLEASE HELP!!!!! 15 PTSExplain how the Quotient of Powers was used to simplify this expression. (2 points)
2^5/8 = 2^2

By finding the quotient of the bases to be,1/4 and cancelling common factors
By finding the quotient of the bases to be, 1/4 and simplifying the expression
By simplifying 8 to 2^3 to make both powers base two, and subtracting the exponents
By simplifying 8 to 2^3 to make both powers base two, and adding the exponents

Answers

quoteint of powers
(x^m)/(x^n)=x^(m-n)

we know that 8=x^3

so
(2^5)/8=2^2 can be rewritten as
(2^5)/(2^3)=2^2
and 5-3=2 so it's true

answer is
third one
by simplifieng 8 to 2^3 to make both powers base two, and subtraction the exponents
First, let's write the expression using numbers 

(2^5)/8 = 2^2 

Now, 8 = 2^3. So we can sub 

(2^5)/(2^3) = 2^2 

Now, there's a rule that states that (a^m)/(a^n) = a^(m-n) 

so (2^5)/(2^3) = 2^(5-3) = 2^2 

So the statement stands. 

The answer is C

2. A highway makes an angle of 6 with the horizontal. This angle is maintained for a horizontal distance of 5 miles. To the nearest hundredth of a mile, how high does the highway rise in this 5-mile section? Show the steps you use to find the distance.

Answers

given:
angle of 6 : i'm assuming this is 6 degrees.
distance of 5 miles.

tan(6) = rise/5 mi
rise = 5 mi * tan(6)
rise = 5 mi * 0.10510423526
rise = 0.52552117632

rise = 0.53 miles.

The sum of two numbers is 100 and their difference is 80, what are the two numbers

Answers

Answer:
x=90
y=10

Explanation:
Let x be equal to the first number.
Let y be equal to the second number.

We know that the sum of the two numbers is 100, so we can say that x+y=100.

We also know that the difference of the two numbers is 80, so we can also say that x-y=80

And now we have our two equations:

x+y=100
x-y=80

To find x and y, we first solve for one of the variables and plug it into one of the two equations to solve for the other. In this case, the easiest way to approach this question is to add both of the equations to cancel y out and solve for x (please check the picture attached for a better representation).

x+y=100
x-y=80
-> 2x=180

2x=180
Divide both sides by 2
2x/2=180/2
x=90

Now that we have found the value of the first number, x, we can plug it in to either of our two original equations to solve for y.

x+y=100
90+y=100
Subtract both sides by 90
90+y-90=100-90
y=10

Therefore, the value of x is 90 and the value of y is 10. Their sum is 100 and their difference is 80.

I hope this helps!

Answer:

The numbers are 90 and 10.

Step-by-step explanation:

Let the two numbers are x and y.

It has been given that  sum of two numbers is 100. Hence, we have the equation,

x + y = 100 .........(i)

Now, the difference of these two numbers is 80. Thus, second equation is

x - y = 180......(ii)

Add equation (i) and (ii)

x + y + x - y = 100 + 80

2x = 180

Divide both sides by 2

x = 90

Substitute this value in (i)

90 + y = 100

y = 100- 90

y = 10

Therefore, the numbers are 90 and 10.

#Learn More:

The sum of two numbers is 450 and the smaller number is 120. What is the product?

Step-by-step explanation:

  1. 90 and 10