Any one know how to find the roots of an equation?

Answers

Answer 1

Answer: Solutions or Roots of Quadratic Equations. A real number x will be called a solution or a root if it satisfies the equation, meaning . It is easy to see that the rootsare exactly the x-intercepts of the quadratic function , that is theintersection between the graph of the quadratic function with thex-axis.

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6x - 5y= 70
7x + 2y=66

I need a answer in words step by step please help!!

Answers

Answer:

x = 10

y = -2

Step-by-step explanation:

Elimination method:

6x - 5y = 70 -----------------(I)

7x + 2y = 66 -----------------(II)

Multiply equation (I) by 2 and equation (II) by 5 and add. So, y will be eliminated and you can now find the value of x

(I)*2 12x - 10y = 140

(II)*5 35x + 10y = 330 {Now add}

47x = 470

x = 470/47

x = 10

Plugin x = 10 in equation (II)

7*10 + 2y = 66

70 + 2y = 66

Subtract 70 from both sides

2y = 66 - 70

2y = -4

Divide both sides by 2

y = -4/2

y = - 2

(10,-2) or x=10 , y=-2

(m+2)(m+3)=(m+2)(m-2) what is the answer please

Answers

$(m+2)(m+3)=(m+2)(m-2)\n\nm^2+3m+2m+6=m^2-4\n\nm^2-m^2+5m=-4-6\n\n5m=-10\ \ \ \ /:5\n\nm=-2$

The first time you look at this, you would think that you can just cancel the
(m+2) off of each side. But then you're left with (m+3) = (m-2), and there's
no solution for this. So you have to go back and do it the hard way.

Expand each side of the equation. (Clear the parentheses.)

m² + 5m + 6 = m² - 4

Subtract m² from each side:

5m + 6 = -4

Subtract 6 from each side:

5m = -10

Divide each side by 5:

m = -2

Find the exact value of cos(135) and sin(135).

Answers

To find the exact value of cos(135), you need the following formula: cos(a+b) = cos a • cos b - sin a • sin b So in this case, it would be: cos (135) = cos ( 45 + 90) = cos 45 • cos 90 - sin 45 • sin 90 = √(2)/2 · 0 - √(2)/2 · 1 = 0 - (√2)/2 = - (√2)/2.

To find the exact value of sin(135), you need the following formula: sin (a+b) = sin a • cos b - cos a + sin b So in this case, it would be sin (135) = sin (90 + 45) = sin 90 • cos 45 + cos 90 • sin 45 = (1 ·(√2)/2) + (0 · (√2)/2) = (√2)/2).

cos (135)= - (√2)/2

sin (135) = (√2)/2

Final answer:

To find the exact value of cos(135) and sin(135), use the unit circle and refer to the special angles. Cos(135) is equal to -1/sqrt(2) or approximately -0.7071, while sin(135) is equal to 1/sqrt(2) or approximately 0.7071.

Explanation:

The cosine function and sine function are both trigonometric functions that are commonly used in mathematics. The cosine function gives us the ratio of the adjacent side to the hypotenuse in a right triangle, while the sine function gives us the ratio of the opposite side to the hypotenuse. To find the exact value of cos(135) and sin(135), we need to use the unit circle and refer to the special angles.

For cos(135), we can determine that 135 degrees lies in the second quadrant of the unit circle. The reference angle for 135 degrees is 45 degrees. Since 45 degrees is a special angle, we know that cos(45) = 1/sqrt(2) or approximately 0.7071. Since cos is negative in the second quadrant, cos(135) = -1/sqrt(2) or approximately -0.7071.

For sin(135), the same process applies. The reference angle for 135 degrees is 45 degrees, and sin(45) = 1/sqrt(2) or approximately 0.7071. Since sin is positive in the second quadrant, sin(135) = 1/sqrt(2) or approximately 0.7071.

Learn more about Trigonometric functions here:

brainly.com/question/31540769

A store pays $10 for a bracelet and the markup is 115% of customer will also pay 5.5% sales tax what will be the total cost of the bracelet to the nearest cent

Answers

A store pays $10 for a bracelet and the markup is 115% of customer

markup percentage is 115% = 1.15

markup amount = cost price * markup percentage

= 10 * 1.15 = 11.5

price with markup price = 10 + 11.5 = 21.5

Now we apply sales tax for the price

sales tax of 5.5 % = 0.055

Tax amount = price with markup * tax percentage

= 21.5 * 0.055= 1.1825

the total cost of the bracelet = Price + tax amount

=21.5 + 1.1825 = 22.6825

$22.68 is the total cost of the bracelet

The perimeter of a picture frame is 24 inches. If the width of the picture frame is 5 inches, what is the length of the picture frame?

Answers

l=7
2l+2w=24
2l+2x5=24
2l+10=24
2l=14
l=7

The answer is (8x+36) inches

What is the surface area of a sphere with a radius of 14 units?

Answers

Answer:

SA =784 pi units ^2

Step-by-step explanation:

The surface area of a sphere is given by

SA = 4 pi r^2

The radius is 14

SA = 4 pi (14)^2

SA =784 pi units ^2

Answer:

Surface area= 784π units²

Step-by-step explanation:

Surface area= 4×π×r²

Surface area= 4×π×(16)²

Surface area= 4×(16)²×π

Surface area= 784π units ²