Answer:
48.5 cm
Step-by-step explanation:
For this you can use the Pythagorean theorem. You know that your hypotenuse will be 56 cm, and one side will be half of that, 28. This sets up the equation:
a^2+28^2=56^2
So, a^2 is 2,352
And a, rounded to the nearest hundredth, is 48.5 cm
Hope this helps :)
Where is the table for the rate of change.
Answer:
middle term = 7x
Step-by-step explanation:
in order to find the middle term, we will expand the bracket on the left hand side and compare the expressions on both sides.
(x + 2) (3x + 1) = 3x² + ___ + 2
let the unknown expression = y
(x + 2) (3x + 1) = 3x² + y + 2
Expanding the bracket on the left hand side by multiplication:
x + 2( 3x + 1) = (x × 3x) + (x × 1) + (2 × 3x) + ( 2 × 1)
= 3x² + x + 6x + 2
= 3x² + 7x + 2
Comparing with the expression on the right hand side:
3x² + 7x + 2 = 3x² + y + 2
∴ y = 7x
middle term = 7x
The value of x + y is 12
<h3>How to solve for x + y?</h3>
The equation is given as:
x^3 - y^3 = 218
Make x^3 the subject
x^3 = 218 + y^3
The next cubic expression greater than 218 is 343.
So, we assume
x^3 = 343
This gives
x = 7
Substitute x^3 = 343 in x^3 = 218 + y^3
343 = 218 + y^3
Evaluate the like terms
y^3 = 125
This gives
y = 5
So, we have:
x + y = 7 + 5
Evaluate
x + y = 12
Hence, the value of x + y is 12
Read more about equations at:
brainly.com/question/2972832
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Answer:
6. 3x^3-7x^2+4x-1
7. -6x^4-2x^2+6x+10
8. 42x^4
Step-by-step explanation: