Answer:
given
hope it helps!
Step-by-step explanation:
(10x^3y^2/5x^-3y^44)
= (10/5)(x^3/x^-3)(y^2/y^44)
= (2)(x^6)(y^-42)
= 2x^6y^-42
(2x^6y^-42)^3
= 8x^6*3y^-42*3
= 8x^18y^-126
Answer: factorise the equation 49x^2+70x+25
Step-by-step explanation:
49x^2+70x+25
(7x)^2+2*7x*5+(5)^2
(7x+5)(7x+5)
therefore the sides of the square are (7x+5)(7x+5)
Option D:
Right triangle
Solution:
Let us first define obtuse, acute right triangle and supplementary.
<u>Obtuse angled triangle:</u>
If any one of the angle in the triangle is more than 90°, then the triangle is an obtuse angled triangle.
<u>Acute angled triangle:</u>
If all the angles of the triangle are less than 90°, then the triangle is an acute angled triangle.
<u>Right angled triangle:</u>
If any one of the angle in the triangle is exactly 90°, then the triangle is a right angled triangle.
<u>Supplementary:</u>
If sum of the angles is 180°, then the angles are supplementary angles.
But this is not a kind of triangle.
In given triangle one of the angle is 90°.
Therefore, this is a kind of right triangle.
Option D is the correct answer.
Consider c as the cost of the widget so that our given equation is
c = 0.1w^2 + 20w
Take the derivate of the equation.
d/dt (c = 0.1w^2 + 20w)
dc/dt = 0.2w + 20
Given dc/dt = $16000 per month, the number of widgets would contain:
16000 = 0.2w + 20
-0.2w = 20 - 16000
-0.2w = -15980
w = 79900 widgets