X^2-13x+30
x^2-10x-3x+30
x(x-10)-3(x-10)
(x-3)(x-10)
so two zeors are 3 and 10 !!
The area of ABC is ...
... area = (1/2)(BE)(AC) = (1/2)·3·4 = 6
The triangles ABC and ADC are congruent, so ...
... the area of ∆ADC is 6 square units.
_____
A reflected image is congruent with its pre-image.
The ave. r. of c. of a function f(x) on the interval [a,b] is given by:
f(b) - f(a)
a.r.c. = --------------
b - a
Here f(x) = 2x^2 + 4x - 3, a = 1 and b = 6. Therefore,
f(a) = f(1) = 2(1)^2 + 4(1) - 3 = 3, and f(b) = f(6) = 2(6)^2 + 4(6) - 3 = 93
So the a. r. c. is then
93 - 3 90
a.r.c. = ---------- = --------- = 18 (answer)
6-1 5
Total cupcakes = 20
Vanilla cupcakes = 1/5 x 20 = 4
Chocolate cupcakes = 3/4 x 20 = 15
Cupcakes that are not vanilla or chocolate = 20 - 4 - 15 = 1
Answer: 1 cup cake is not vanilla or chocolate.
It means Corresponding parts of congruent triangles are congruent. So if two or more triangles are congruent then ALL of their corresponding angles and sides are congruent as well.
Hope this helps!