what is the value of c?
4 units
5 units
6 units
7 units

5 units

Step-by-step explanation:

You could use the Pythagorean Theorem since triangle WYZ is a right triangle.  We know it is right because angle WYZ has the little square there meaning 90 degree measurement at that angle.

So the two legs have measurements 4 and 3.

We need to find the hypotenuse. We know c represent the hypotenuse measurement because it is opposite the 90 degree angle.

We need to solve:

Take square root of both sides:

.

Eventually you will start to remember (3,4,5) has a Pythagorean triple where the smaller measurements in the triple represent leg measurements while the largest represents the hypotenuse.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15