Which of the following sets of numbers does square root of 49?

sqrt(49) = 7

So this number is in the set of...

The set of natural numbers is {1,2,3,...} and the set of whole numbers is {0,1,2,3,...}. Basically we just added in 0. Integers will be similar but we now have negative values too {..., -3, -2, -1, 0, 1, 2, 3, ...}

Rational numbers are anything of the form a/b with a,b being integers. In other words, if we can write the number as a fraction of two integers, then we have a rational number. In the case of 7, we have 7 = 7/1, so it is rational.

The set of real numbers includes every number type you have learned of so far (natural, whole, integer, etc). If you haven't learned about imaginary or complex numbers yet, then every number your teacher will go over is a real number.

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)