The answer would be "<span>3(4a + 2) = 12a + 6". With the distributive property, the number outside of the parenthesis is multiplied to each component inside the parenthesis individually. Ex: 3x4a=12a, 3x2=6.</span>
To simplify most teachers prefer to round to tenth or hundreth
best answers: 0.9, 0.87
Answer:
51.3 degrees
Step-by-step explanation:
Use Trig Ratio to solve for theta aka the angle formed between the ;adder and the ground.
So we have the hypotenuse = 24ft and the adjacent = 15ft so I am going to use the cos ratio.
cos ∅ = a/h
rearrange for theta
∅ = cos -1 ( a/h)
now sub in the information
∅ = 51.3178
now round to the nearest tenth
∅ = 51.3 degrees
write your therefore statement
therefore, the angle between the ladder and the ground is 51.3 degrees.
The equation of the red parabola is :
therefore , correct option in A
The circumcenter is found by finding the intersection of at least 2 perpendicular bisector segments.
Find the perpendicular bisector to segment AB. This is the line y = -3.5; the idea is that you find the equation of the horizontal line through the midpoint of AB. The midpoint has a y coordinate of -3.5. This line is shown in red horizontal line in the attached image below.
The midpoint of AC is 2.5, so the perpendicular bisector to AC is x = 2.5 which is shown as the vertical green line in the same diagram.
The red and green lines cross at the location (2.5, -3.5) which is the circumcenter's location. If you were to draw a circle through all three points A, B, & C, then this circle would be centered at (2.5, -3.5)
If point D is the circumcenter, then we know this
AD = BD = CD
basically the distance from the center to any point on the triangle is the same. This is due to the fact that all radii of the same circle are the same length.
<h3>Answer: (2.5, -3.5)</h3>
note: 2.5 in fraction form is 5/2 while -3.5 in fraction form is -7/2