4. A rectangular garden 6 meters wide has a diagonal measuring 10 meters. Find the length of the garden.

8 Meters

Step-by-step explanation:

Even though you're looking for the length for a rectangular garden, you are actually using the Pythagorean Theorem for this since the question provides you a width and a diagonal for the rectangle.

To find the length you must use the formula: .

You are already provided with the width, A, and the diagonal, C. So, you must find the second leg (or length) by using:

So, B=8, meaning you found the length of 8 meters.

Don't forget to use the units!

Hope this helps!

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true