Answer:
The numbers are either ±13.35 and ±1.35 or ±1.35 and ±13.3
Step-by-step explanation:
Let the two numbers be 'x' and 'y'.
Given:
The squares of the sum of two numbers = 144
The sum of their squares = 180
The sum of the numbers = 
The square of the sum of numbers = 
Square of first number = 
Square of second number = 
The sum of their squares = 
Now, as per question:
Expanding equation (1) using the formula 
This gives,
Plug in the value of 'y' from equation (3) in equation (1). This gives,
Therefore,
Therefore, the numbers are either ±13.35 and ±1.35 or ±1.35 and ±13.3
Answer:
x=14
y=40
Step-by-step explanation:
A parallelogram is like a rectangle 2 parallel sides are equal.
so x+3=17 and y-2=38
x+3=17
x=17-3
x=14
y-2=38
y=38+2
y=40
The rate a which the surface area, S, decreases is
The surface area is
S = 4πr²
where r = the radius at time t.
Therefore
When r = 3 cm, obtain
![\frac{dr}{dt}]_{r=3} = - \frac{1}{3} \, cm/s](https://tex.z-dn.net/?f=%20%5Cfrac%7Bdr%7D%7Bdt%7D%5D_%7Br%3D3%7D%20%3D%20-%20%5Cfrac%7B1%7D%7B3%7D%20%5C%2C%20cm%2Fs%20%20)
Answer: -1/3 cm/s (or -0.333 cm/s)
Answer:
26.75
Step-by-step explanation:
It is 26.75 because if you split the traingle in half from the bottom to the top you look to find the area of each shape, so the sqaure has a measure of 2 by 2 so that is four then the smaller triangle has a measure of 2 by 2 but the formula for triangles are length times height divided by 2 and the area for that is 2. Then the other smaller triangle is 5 * 2 which is 10 then divide it by 2 so it is 5 so all together it is 9. then the area of the biggest triangle is 15.75
The inequality that represents this phrase is n+6 > 31.
