Answer:
∠DAB = ∠DBA
Then AD=DB from above statement
Answer:
Parallel lines have the same slope, so you know the equation will be y = 2x + b. Use the point (1,5) to sub in for (x,y) to solve for b. So, the equation will be y = 2x + 3.
Step-by-step explanation:
hope this help you
Answer:
0.485
Step-by-step explanation:
Answer:
b) the coefficient of x of jamie's polynomial is 5 .
c) The two polynomials are :
x³ + 4x² + 5x + 4
x³ - 2x² + 5x + 4
Step-by-step explanation:
consider these two Monic polynomials of degree 3:
P : x³ + ax² + bx² + c
Q : x³ + a₁x² + bx² + c
P × Q = x⁶+ (a+a₁)x⁵ + (aa₁+2b)x⁴ + (ab+a₁b+2c)x³ + (ac+a₁c+b²)x² +2bcx + c²
Now we compare the coefficients of P × Q and x⁶ + 2x⁵ +2x⁴ + 18x³ + 33x² + 40x + 16
b)
c² = 16 ⇒ c = 4 (c is positive)
2bc = 40 ⇒ 8b = 40 ⇒ b = 5 then the coefficient of x of jamie's polynomial is 5 .
c)
In order to find a and a₁ we need to solve this system:
a+a₁ = 2 a+a₁ = 2
⇔
aa₁+2b = 2 aa₁ = -8
Solve the system and you’ll get :
a = 4 and a₁ = -2 or a = -2 and a₁ = 4
Let’s choose a = 4 and a₁ = -2 then
the two polynomials are respectively:
P : x³ + ax² + bx² + c = x³ + 4x² + 5x + 4
Q : x³ + a₁x² + bx² + c = x³ - 2x² + 5x + 4
Answer:
26: 120
27: 56
Step-by-step explanation:
For 27 it is just the vertical angle of 56 degrease, so it is 56.
For 26 you can find the angle in between 80 and 60 by subtraction that amount from 180 because it is a straight line. You will get 40. X is the vertical angle of 80 and 40, which is 120, so x is 120.
