We are going to continue the process; this time we are going to evaluate both functions at x=2.4:
For our first function:
For our second function:
To the nearest tenth:
We can conclude that the positive solution of our functions to the nearest tenth is
.
Answer: x2 + 4x + 11
Step-by-step explanation:
(x + 2)2 + 7
(x+2)(x+2) + 7
X2 + 2x + 2x + 4 + 7
x2 + 4x + 11
Answer: 5
Step-by-step explanation:
2x + 3 = 13
You found CD from the Pythagorean theorem to be ...
... CD = √(5² -2²) = √21
Since triangle ADC ~ triangle ACB, the ratios of corresponding sides are the same:
... AC/AD = AB/AC
... AB = AC²/AD
... AB = 5²/2 = 12.5 . . . . . . . the base of the overall triangle
_____
Then the area (A) is ...
... A = (1/2)bh
... A = (1/2)(12.5)(√21) ≈ 28.64 square units
_____
As you see here, the altitude of a right triangle divides it into three similar triangles. From smallest to largest, they are ...
... ADC ~ CDB ~ ACB
You can figure this using AAA similarity, since the smallest and largest triangles listed above share an acute angle vertex (∠A). That, together with the right angle, means all angles are congruent. After that, then you know ∠ACD ≅ ∠CBD, so you can show the middle sized triangle is similar to the other two.
Answer:
the correct estimate of the weight of Errol's backpack would be 33
Step-by-step explanation:
you just need to add 10 and 23.
