Step-by-step explanation:
sqrt(5x)×(sqrt(8x²) - 2×sqrt(x)) =
sqrt(5x × 8x²) - 2×sqrt(5x × x) =
sqrt(40x) × x - 2x × sqrt(5) =
2x×sqrt(10x) - 2x×sqrt(5)
therefore, the last option is correct.
Answer:
Step-by-step explanation:
If (x + 2) is a factor of a polynomial then ( - 2 ) is the zero of that polynomial ⇒ ( - 2 )³ + 2( - 2 )² + 2( - 2 ) + k = 0 ⇒ k = - 4
Hello!
The answer is z = 16..
Solve it like this..
#1) Regroup terms
-3 = -7+z/4 ---> -3 = z/4 - 7
#2) Add 7 to both sides.
-3 = z/4 - 7 ---> -3 + 7 = z/4
#3) Do the addition.
-3 + 7 = z/4 ---> 4 = z/4
#4) Multiply both sides by 4.
4 = z/4 ---> 4 * 4 = z.
#5) Do the multiplication.
4 * 4 = z ---> 16 = z
Hope this helps! ☺♥
Answer:
<u>JK is </u><u>NOT </u><u>tangent to the circle</u>
Step-by-step explanation:
A tangent of a circle is a line that intersects a circle at one and only one point. For this reason, the radius will always intersect a tangent at a 90 degree angle to prove this single point intersection. From the triangle, we can introduce the Pythagorean theorem to see if the triangle is a right triangle:
a^2 + b^2 = c^2
48^2 + 14^2 = 36^2
2304 + 196 = 1296
2500 ≠ 1296
As this is not equal, the triangle is not a right triangle and therefore states that the tangent line does not intersect the radius at 90 degrees, meaning that it does not satisfy the requirements of a tangent line.
