The value of c = 64 makes the equation true.
<h3>What is an Equation ?</h3>
An equation is defined as the mathematical statement formed when two algebraic expression are equated by an equal sign.
It is given in the question that
x> 0 and y>0
![\rm \sqrt[3]{\dfrac{x^3}{cy^4} }= \dfrac{x}{4y\sqrt[3]{y}}\\\\\\{\dfrac{x^3}{cy^4} = \dfrac{x^3}{64y^3 \times y} \\\\\\\\\\\therefore\; from \;this \\\\c= 64\\](https://tex.z-dn.net/?f=%5Crm%20%5Csqrt%5B3%5D%7B%5Cdfrac%7Bx%5E3%7D%7Bcy%5E4%7D%20%7D%3D%20%5Cdfrac%7Bx%7D%7B4y%5Csqrt%5B3%5D%7By%7D%7D%5C%5C%5C%5C%5C%5C%7B%5Cdfrac%7Bx%5E3%7D%7Bcy%5E4%7D%20%3D%20%5Cdfrac%7Bx%5E3%7D%7B64y%5E3%20%5Ctimes%20y%7D%20%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%5Ctherefore%5C%3B%20from%20%5C%3Bthis%20%5C%5C%5C%5Cc%3D%2064%5C%5C)
The value of c = 64 makes the equation true.
To know more about Equation
brainly.com/question/10413253
#SPJ1
The length of the missing sides of triangles A and B are 9.43 cm and 12.04 cm respectively.
<h3>Pythagoras theorem</h3>
Triangle A:
- Height = 8cm
- Base = 5cm
- Hypotenuse = x cm
Hypotenuse² = height ² + base²
x² = 8² + 5²
= 64 + 25
x² = 89
x = √89
x = 9.43 cm
Triangle B:
- Height = 12cm
- Base = x cm
- Hypotenuse = 17 cm
Hypotenuse² = height ² + base²
17² = 12² + x²
17² - 12² = x²
289 - 144 = x²
145 = x²
x = √145
x = 12.04 cm
Learn more about right triangle:
brainly.com/question/2217700
#SPJ1
Based on the points on the graph, the correct matches are:
- A - (-4, -2).
- B - .(2, -4)
- C - (4, -2).
- D - (2, 5)
- E - (-1, 1)
- F - (-5, 0)
- G - (4, 2)
- H - (0, -5)
<h3>How are points located on a graph?</h3>
To find a point, you need to look at the x-axis first and then the y-axis.
Find where the point is located on the x-axis, and then look for where the point intersects with the y-axis point.
For instance, the point A is located at (-4, -2) so look at the -4 point on the x axis, then go down to the -2 point on the y-axis. You'll find point A.
Find out more on the coordinates of points on graphs at brainly.com/question/11337174.
#SPJ1
Right triangle or equilateral(not sure if i spelled it right) triangle
