The Intersecting Secant Theorem says
EC × ED = EB × EA
(x+4)(x+4+1) = (x+1)(x+1+11)
(x+4)(x+5)=(x+1)(x+12)
x^2 + 9x + 20 = x^2 + 13 x + 12
8 = 4x
x = 2
Check:
6(7)=42
3(14)=42, good
Answer: 2
Answer:
Step-by-step explanation:
Calculate price per unit:
7/5.10= $1.37
So the answer is the store selling 10 tomatoes for $6.30 is the lower unit price
The tomoatoes if they were sold at Sally’s instead would cost $4.41
Answer:
-3
Step-by-step explanation:
Quadratic formula
factoring
graphing
completing the square
factoring by grouping
Rational Roots Theorem
synthetic division
Take a look at <span>5x^2 – 34x + 24 = 0. The last term could have been the result of these different possible muliplications: 1*24, 2*12, 3*8, 4*6. The leading term is 5, whose factors are 5 and 1. Thus, possible rational roots would be
4/5 (the 4 is a factor of 24 and the 5 is a factor of 5) and 6/1 (the 6 is a factor of 24 and the 1 is a factor of 5).
Using synth. div. to check whether 6 is actually a root:
___________________
6 / 5 -34 24
30 -24
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5 -4 0
since the remainder is 0, we can safely call 6 a "root."
Note the remaining coefficients, 5 and -4:
They correspond to the factor 5x - 4. If we set this difference = to 0, and solve for x, we get x = 4/5 (which is correct).
The roots of </span><span>5x^2 – 34x + 24 = 0 are x = 4/5 and x= 6/1.</span>
Answer:
C: 4
Step-by-step explanation:
4x+3=6x-5
Add five to both sides
4x+8=6x
Subtract both sides by 4x
8=2x
Divide both sides by 2
X=4