Answer:
Step 3: x² + 6x + 64 = -8 + 64
Step-by-step explanation:
At step 3 add 64 on both sides to complete the square.
so x² + 6x = -8
becomes x² + 6x + 64 = -8 + 64 when 64 is added both sides giving us step 3.
continuing from there, we get
x² + 6x + 64 = 56
we then use a² + 2ab + b² = (a + b)² on the left side to get
(x + 8)² = 56 (solve the equation for x)
by taking the root on both sides
√(x + 8)² = √56
x + 8 = +- 2√14 (separate the equations
x + 8 = 2√14
x + 8 = -2√14
Solving for x
x = 2√14 - 8 or x = -2√14 - 8
Applying the tangent ratio, the distance from A to C across the gorge, is: 60.6 ft.
<h3>What is Tangent Ratio?</h3>
The tangent ratio for solving a right triangle is given as, tan ∅ = opposite/adjacent.
Given the following:
- ∅ = 25°
- Adjacent length = 130 ft
- Opposite length = AC
Apply the tangent ratio:
tan 25 = AC/130
AC = (130)(tan 25)
AC = 60.6 ft
Learn more about the tangent ratio on:
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You take the height times the width
Start from the point (0,0) and go up 4 spaces, then to the right 1, and put a dot. Continue doing this.
Brainliest Please!
Answer:
14
Step-by-step explanation:
If Donnie is 3 times younger than Donnie's dad, that adds up to four parts. In other words, Donnie is 1/4 his dads age. So, divide 56 by four and you have Donnie's age. The rest is Donnie's dad age.