Answer:
x^2 +7x+12
Step-by-step explanation:
(x+3)(x+4)
FOIL
first x*x= x^2
outer: 4x
inner:3x
Last 3*4=12
Add together
x^2+3x+4x+12
Combine like terms
x^2 +7x+12
Answer:
-6 ;
ax² + bx + c ;
-1
Step-by-step explanation:
1)
Give thequadratic equation :
4x² - 6x - 5
The values of a, b, c are the Coefficient of x², x and the constant respectively
Therefore, the value of b is the Coefficient of x = - 6
2.)
Standard form of a quadratic equation is :
ax² + bx + c
a = Coefficient of x² ; b = Coefficient of x ; c is a constant
3.)
2x² - 4x + 7
Axis of symmetry :
-b / 2a
a = 2 ; b = - 4, c = 7
-b / 2a = - 4 / 2(2)
= - 4 / 4
= - 1
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Since both triangles are similar, the ratio between their sides remains constant. Therefore,

Solving for x,

Therefore, x = 13.5