Answer:
So actually #1 is answer. Thats because if we see last one it doesn't have a right angle but the original does. In the next one the angles dont match. The 23 and 67 degree angles are not in the original figure. We can see that the last one has those angles and the sides are switched and just multiplied by 2. Therefore the answer to this question is:
<h2><u>
#1 is the answer</u></h2>
I believe it’s 1.6 if you divide 8/5
Answer: (2x – 7) (3x^3 – 2x – 5)
SOLVINGS
Given the polynomial f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case,
The Leading Coefficient is 6
The Trailing Constant is -35.
Factors of the Leading Coefficient are 1, 2, 3 and 6
Factors of the Trailing Constant are 1, 5, 7, and 35
Testing for the rational roots,
If P= 7 and Q = 2
P/Q = 3.5
F (P/Q) = 0.00
Using the Factor Theorem; which states that if P/Q is root of a polynomial then this polynomial can be divided by Q.x – PTherefore, the polynomial 6x^4 – 21x^3 – 4x^2 + 24x – 35 is divisible by 2x –
7
Factorizing 2x – 7
Divide the polynomial into two groups (6x^4 – 21x^3 and – 4x^2 + 24x – 35)
Factorizing Group 1
6x^4 – 21x^3 divided by 2x – 7 = 3x^3
∴ 6x^4 – 21x^3 = 3x^3 (2x – 7) ….. (Group 1)
Factorizing Group 2
– 4x^2 + 24x – 35 divided by 2x – 7 = -2x+5
∴ 4x^2 + 24x – 35 = (-2x+5)(2x – 7) ….. (Group 2)
Bringing together Groups 1 and 2
6x^4 – 21x^3 – 4x^2 + 24x – 35 = (2x – 7) (3x^3 – 2x – 5)
Answer:
x² +4x
Step-by-step explanation:
Area of triangle= ½ ×base ×height
Given: base= 2x, height= x +4
Area of triangle
= ½(2x)(x +4)
= x(x +4)
= x(x) +x(4) <em>(</em><em>expand)</em>
= x² +4x
