#1 is 12x² -15x
#2 is fx-9x
Answer:
-8/3
Step-by-step explanation:
8x + 3y = - 9
Let's make y the subject of the formula.
y = - 9/3 - 8x/3
Rearrange
y = - 8x/3 - 3
The slope is the coefficient of x which is - 8/3
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Answer:
20
Step-by-step explanation:
Sonya has 5 sandwiches.she cuts each sandwich into fourths
1 sandwich divided into four parts
four parts = ¹/₄
1/¹/₄= 1x ⁴/₁= 4
so 1 sandwich divided into four parts is 4
so if 1 is divided into four parts is 4
5 will 4 x 5 = 20
so it means there will 20 of ¹/₄ sandwich
Trinomial 2x² + 4x + 4.
It's of the form ax²+bx+c and it's discriminant is Δ=b² - 4.a.c
(in our case Δ = 4² - (4)(2)(4) → Δ = - 32
We know that: x' = -1 + i and x" = -1 - i
If Δ > 0 we have 2 rational solutions x' and x"
If Δ = 0 we have1 rational solution x' = x"
If Δ < 0 we have 2 complex solutions x' and x", that are conjugate
In our example we have Δ = - 16 then <0 so we have 2 complex solutions
That are x'= [-b+√Δ]/2.a and x" = [-b-√Δ]/2.a
x' =
Since triangle ADE is similar to triangle ABC and the scale factor is 2, the following relation must be fulfilled:
The, by substituting the given information, we have
By multiplying both sides by x+2, we get
which gives
Then, by subtracting 4x to both sides, we have
and by adding 8 to both sides, we obtain
then, x is given by
Then, by substitutn
