Step-by-step explanation:
6x^2y^3/2x-2
=6x^2y^3/2 (x-1)
=3x^2y^3/(x-1)
Answer:
23°
Step-by-step explanation:
The total of the angles in a triangle add up to 180°.
Our equation here is 62 + 95 + z = 180
Lets find what 62 + 95 is: 62 + 95 = 157
Then we can find the remainder (157 + x = 180). 180 - 157 = 23°
Therefore the missing angle (z) is 23°
Answer:
the line crosses the parabola at (-2,4) and (3,9)
Step-by-step explanation:
y=x^2
y=x+6
set them equal to each other
x^2=x+6, now set it equal to zero
x^2-x-6=0, now find the root
(x+2)(x-3)=0, the x=-2, and x=3; now substitute into any of the equation to find the points where graphs intercept
at x= -2, y=(-2)^2=4, so one point is (-2,4)
at x=3, y=(3)^2=9, so other point is (3,9)
the line crosses the parabola at (-2,4) and (3,9)
The simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.
<h3>What is an integer exponent?</h3>
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The number expression is:
= (2⁴)⁻¹
Using the properties of the integer exponent:
= 1/2⁴
The above number is one over two raised to the fourth power
Thus, the simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.
Learn more about the integer exponent here:
brainly.com/question/4533599
#SPJ1
Answer:
4√34
Step-by-step explanation:
Let the unknown side be y
y^2 = 20^2 + 12^2
y^2 = 400 + 144
y^2 = 544
Take the square root of both side
y = √544
y = √(16x34)
y = √16 x √34
y = 4√34
