The slope is 4 and the Y-Intercept is 0.
Answer:
<A = 18.6 Degree
<B =74.4 Degree
<C = 87 Degree
Step-by-step explanation:
Sum of all the angles of triangle is 180
as given ,
<A = ?
<B = 4<A
<C = 5 <A - 6
As per rule ,
<A + <B +<C = 180
<A + 4 <A + 5<A - 6 = 180
10 <A - 6 = 180
10 <A = 180 + 6
<A = 186 / 10
<A = 18.6 Degree
Hence ,
< B = 4 X (18.6)
< B = 74.4 Degree
and
<C = 5 (18.6) - 6
<C = 87 Degree
PROOF
<A + <B + <C = 180
18.6 + 74.4 + 87 = 180
180 = 180
(a+5)(a+2) = a^2 + 7a + 10
look at what adds to make 7 and multiplies to make 10
as you know one is 5, the other is 2 and 5 + 2 = 7 so both positive
(a+2)
Answer:
No real
solution
Step-by-step explanation:
Firstly, let us check if we would be having a real solution
We start by rewriting the equation
We have this as;
8x^2 -25x + 24 = 0
We proceed to get the discriminant
Mathematically, we have this as;
D = b^2 - 4ac
b is the coefficient of x which is -25
a is the coefficient of x^2 which is 8
c is the last number which is 24
So we have;
D = (-25)^2 - 4(8)(24)
D = 625 - 768 = -143
Since the value of the discriminant is negative, there cannot be real roots
What we have as solution are complex roots
First factor out a variable: x(x^2-2x-24)
now solve the quadratic: x(x-6)(x+4)
When you set these expressions equal to zero, you get 0, 6, and -4 as your answers.
