Answer: -6.5x+4.4
Step-by-step explanation:
Brick = 3.5 in by 7.5 in and costs $0.59
Paver = 8.4 in by 8.4 in and costs $1.88
The small patio's area = 3430 square inches
The Area of 1 Brick = 26.25 square inches
The Area of 1 Paver = 70.56 square inches
The # of Bricks to complete the Patio will be:
Patio's Area / the Area of 1 Brick = # of Bricks to complete the patio
3430 square inches / 26.25 square inches = 130.67 = 131
Then, multiply the # of Bricks to complete the patio by the amount that 1 brick costs:
131 * $0.59 = $77.29
It will take $77.29 to complete the Patio with bricks.
The # of Pavers to complete the Patio:
Patio's Area / the Area of 1 Paver = # of Pavers to complete the Patio
3430 square inches / 70.56 square inches = 48.6 = 49
Then, multiply the # of Pavers to complete the patio by the amount that 1 Paver costs:
49 * $1.88 = $92.12
Cost of Bricks to complete Patio = $77.29
Cost of Pavers to complete Patio = $92.12
To conclude, Bricks would cost less by $14.83.
Answer:
Step-by-step explanation:
To find the zeros of this polynomial, set the polynomial equal to zero, and then set each of the factors equal to zero separately. Solve each equation for x:
x - 1 = 0 yields x = 1. The x-intercept is (1, 0).
x + 3 = 0 yields x = -3. The x-intercept is (-3, 0).
2x + 1 = 0 yields x = -1/2 The x-intercept is (-1/2, 0)
We know that<span>
<span>Figures can be proven similar if one, or more,
similarity transformations (reflections, translations, rotations, dilations)
can be found that map one figure onto another.
In this problem to prove circle 1 and circle 2 are similar, a
translation and a scale factor (from a dilation) will be found to map one
circle onto another.
we have that</span>
<span> Circle 1 is centered at (5,8) and has a
radius of 8 centimeters
Circle 2 is centered at (1,-2) and has a radius of 4 centimeters
</span>
step 1
<span>Move the center of the circle 1 onto the
center of the circle 2
the transformation has the following rule</span>
(x,y)--------> (x-4,y-10)
so
(5,8)------> (5-4,8-10)-----> (1,-2)
so
center circle 1 is now equal to center circle 2
<span>The circles are now concentric (they have the
same center)
</span>
step 2
<span>A dilation is needed to decrease the size of
circle 1 to coincide with circle 2
</span>
scale factor=radius circle 2/radius circle
1-----> 4/8----> 0.5
radius circle 1 will be=8*scale factor-----> 8*0.5-----> 4 cm
radius circle 1 is now equal
to radius circle 2
<span>A
translation, followed by a dilation will map one circle onto the other,
thus proving that the circles are similar
the answer is
</span></span>The circles are similar because you can translate Circle 1 using the transformation rule (x-4,y-10) and then dilate it using a scale factor of (0.5)
