Answer: y = (xm)/3 + b
Step-by-step explanation:
1. Multiply m on both sides
x × m = 3(y - b)
2. Divide by 3 on both sides
(xm)/3 = y - b
3. Add b on both sides
y = (xm)/3 + b
The shape that best describes forest park is parallelogram. The correct answer is Option C).
<u>Step-by-step explanation</u>:
<u><em>step 1</em></u><em> :</em>
The two streets Oak and Maple are parallel.
The two streets Jefferson and Washington are parallel.
<u><em>step 2</em></u><em> :</em>
These parallel lines are intersecting each other.
<em>The properties of intersection of parallel lines:</em>
- In the figure the lines are not shown as right angle, so they are not perpendicular (angle ≠ 90° and the lines have same slope)
- The alternate interior angles are equal.
<u><em>step 3</em></u><em> :</em>
<em>The properties of parallelogram are:</em>
- Opposite sides are parallel with same slopes.
- Opposite angles are congruent (same).
<u><em>step 4</em></u><em> :</em>
- The parallel lines of the streets make the opposite sides of the parallelogram.
- The interior angles of parallel lines are the opposite angles of the parallelogram.
Thus, the shape forest park best describes parallelogram.
Answer:
<u>f(x) = 2(x - 2)^2 - 1</u>
<u>vertex: (2, -1)</u>
Step-by-step explanation:
f(x) = 2x^2 - 8x + 7
<em>First, we find the vertex. </em>
x = -(-8)/4 = 2
y = 2(2)^2 - 8(2) + 7 = 2(4) - 16 + 7 = 8 - 9 = -1
vertex: (2, -1)
<em>Second, we write f(x) in vertex form. </em>
<em>we know that h and k have to be 2 and -1. </em>
2x^2 - 8x + 7 = a(x - 2)^2 - 1
<em>Since 8 - 1 = 7, we do this: </em>
f(x) = (2x^2 - 8x + 8) - 1
<em>Factor out the 2 and then factor the polynomial</em>
f(x) = 2(x^2 - 4x + 4) - 1
<em>factors of 4: </em>
1 4
2 2
-1 -4
<u>-2 -2 = -4</u>
<em>the function in vertex for is: </em>
f(x) = 2(x - 2)^2 - 1
The arc length of the semicircle is 15.7
<h3>Calculating Arc length </h3>
From the question, we are to determine the arc length of the semicircle
Arc length can be determined by using the formula,
Arc length = θ/360° × 2πr
Where θ is the angle subtended by the arc
and r is the radius of the circle
In the given diagram,
θ = 180°
and r = 10/2
r = 5
Thus,
The arc length of the semicircle = 180°/360° ×2×3.14×5
The arc length of the semicircle = 1/2×2×3.14×5
The arc length of the semicircle = 15.7
Hence, the arc length of the semicircle is 15.7
Learn more on Calculating Arc length here: brainly.com/question/16552139
#SPJ1
Answer:
x=-2.8
Step-by-step explanation:
This answer is right if all the numbers are mixed fractions.
