Answer:
1. n + 4
2. x(n) + 4
Step-by-step explanation:
The two solutions were arrived at based on the following :
1. The total number of fruit, irrespective of the kind or type.
In this case, let the number of fruit be n.
Adding 4 peaches gives: n + 4 fruits.
2. The second expression takes into account the peaches only.
This times around, let the total fruits be n.
The number of peaches in the basket can be given as a fraction. Let the fraction be <em>x</em>
The number of peaches is the fraction of peaches multiplied by the total number of fruit like this: <em>x</em>n
However, 4 peaches are added, therefore, the total number will be <em>x</em>n+4
This figure denotes the number of peaches in the basket.
Answer:
x = 50
Step-by-step explanation:
The sum of the measures of the interior angles of a polygon of n sides is
(n - 2)180
This polygon is a quadrilateral with 4 sides. n = 4
(n - 2)180 = (4 - 2)180 = 2(180) = 360
The sum of the measures of the interior angles of the quadrilateral is 360 degrees.
We have angles of 110 deg, 2x deg, x + 10 deg, and 90 deg. We add their measures and set teh sum equal to 360. Then we solve for x.
x + 10 + 2x + 110 + 90 = 360
3x + 210 = 360
3x = 150
x = 50
Answer:
The correct option is C.
C) -x + 2
Step-by-step explanation:
In mathematics, the term which is being divided is called a dividend. The term by which the dividend is getting divided is called a divisor. The quotient is the term we get after dividing the dividend by a divisor.
Here in this case, the dividend is written.
-x² x x
which in the equation form is written as
-x² + x + x
add the x terms to simplify
-x² + 2x
The divisor is given as x, divide the equation by x:
(-x² + 2x)/x
(-x²/x) + (2x/x)
-x+2
Which is the quotient.
Answer:
Step-by-step explanation:
I think you have the question incomplete, and that this is the complete question
sin^4a + cos^4a = 1 - 2sin^2a.cos^2a
To do this, we can start my mirroring the equation.
x² + y² = (x + y)² - 2xy,
This helps us break down the power from 4 to 2, so that we have
(sin²a)² + (cos²a)² = (sin²a + cos²a) ² - 2(sin²a) (cos²a)
Recall from identity that
Sin²Φ + cos²Φ = 1, so therefore
(sin²a)² + (cos²a)² = 1² - 2(sin²a) (cos²a)
On expanding the power and the brackets, we find that we have the equation proved.
sin^4a + cos^4a = 1 - 2sin^2a.cos^2a
Answer:
Step-by-step explanation:
The question is poorly formatted. The original question is:
We have:
Open bracket
Express 8 as 2^3
Express 2^3 as 8
Expand each exponent
Split
Factorize
