Answer:
55?
Step-by-step explanation:
........................
This would be easer to factor
(x+3)(x+4)=0
x+3=0
x+4=0
x=-3 and -4
bu tif want quadratic
in form
ax^2+bx+c=0
x=
![\frac{-b+/- \sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-b%2B%2F-%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%20)
ax^2+bx+c=0
1x^2+7x+12=0
a=1
b=7
c=12
x=
![\frac{-b+/- \sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-b%2B%2F-%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%20)
x=
![\frac{-7+/- \sqrt{7^2-4(1)(12)} }{2(1)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-7%2B%2F-%20%5Csqrt%7B7%5E2-4%281%29%2812%29%7D%20%7D%7B2%281%29%7D%20)
x=
![\frac{-7+/- \sqrt{49-48} }{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-7%2B%2F-%20%5Csqrt%7B49-48%7D%20%7D%7B2%7D%20)
x=
![\frac{-7+/- \sqrt{1} }{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-7%2B%2F-%20%5Csqrt%7B1%7D%20%7D%7B2%7D%20)
x=
![\frac{-7+/- 1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-7%2B%2F-%201%7D%7B2%7D%20)
x=-6/2 or -8/2
x=-3 or -4
It’s the first one
x = -12 or x=2
Answer:
BC=6x+4= 6x4+4 = 28 is the correct answer
AB+BC=AC
4x+8+6x+4=52
10x+12=52
10x=40
X=4
Answer:
Possible values of x are whole numbers that are lesser than 15 inches
Step-by-step explanation:
We are given;
Base; b = 15 inches
Height; h = 10 inches
Formula for area of triangle is;
A_tria = ½bh
A_tria = ½ × 15 × 10
A_tria = 75 Sq.in
Now, formula for trapezoid is;
A_trapez = ½(a + b)h
Where a is the side parallel to the base.
We are told that the area of the trapezoid is less than twice the area of the triangle.
Thus;
½(a + 15)10 < 2(75)
Simplifying;
5(a + 15) < 150
Divide both sides by 5 to get;
a + 15 < 150/5
a + 15 < 30
Subtract 15 from both sides to get;
a < 30 - 15
a < 15
Possible values of x are whole numbers that are lesser than 15 inches