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Hatshy [7]
2 years ago
11

.pls help with this question

Mathematics
2 answers:
Nonamiya [84]2 years ago
6 0

Answer:

You will find it.

Explanation:

Replace the X value in each answer's formula with the table's value, then find the answer.

Ex: A. y = 4x + 4

if x = -1

=> y = 4.(-1) + 4 = 0 (not match y value in the table) => the answer is not A

podryga [215]2 years ago
4 0
Answer is D: y= -4x + 4
Reason
We know the formula is y=mx +b

Let’s find b. the chart shows you 0x 4y so your y intercept is 4.

Let’s find m which is slope
Slope is y2 - y1 over x2 - x1
Let’s use the first two pairs in the chart
8-4=4
-1 -0 =-1
So slope is - 4/1 simplified to -4

We can chose another pair to check
Using the bottom two pairs
0 - (-8) = 8
1 - 3 = -2
So slope is 8/-2 simplified to -4

So y= -4x +4
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DochEvi [55]

Answer:

12pi cm

Step-by-step explanation:

The Perimeter of the full shape is the sum of the lengths of the edges of the parts.  For convenience in referencing them, we'll call the large curve "curve_{big}" and the three smaller curves "curve_1" "curve_2" "curve_3" in order from left to right.

Thus, the Perimeter of the full shape can be written as an equation:

P_{overall} = Length(curve_{big})+Length(curve_1)+Length(curve_2)+Length(curve_3)Since all of those edge lengths are curves, and the question states that all of the curves are made from parts of circles, then we need to know how to find the length of the edge of a circle.

<u>Parts of a circle</u>

Since values in the diagram are diameters, use the formula for the Perimeter of a circle P=\pi d (where d is the diameter).

Let's call the diameters of each of our curves "d_{big}"  "d_1"  "d_2"  "d_3", with the subscripts denoting which curve we're referring to.

Note that for each curve, the curve only represents half of a circle.  So, to find the length of each curve, we'll need half of the full perimeter of each circle.

So for instance: Length(curve_{big})=\frac{1}{2} \pi d_{big}

Substituting back into the main equation above:

P_{overall} = Length(curve_{big})+Length(curve_1)+Length(curve_2)+Length(curve_3)P_{overall}=\frac{1}{2} \pi d_{big} + \frac{1}{2} \pi d_{1} + \frac{1}{2} \pi d_{2} + \frac{1}{2} \pi d_{3}

Note that all terms have common factors of "one-half" and "pi" in them.  These can be factored out:

P_{overall}=\frac{1}{2} \pi (d_{big} + d_{1} + d_{2} +d_{3})

The diameter for the large Curve, is the sum of the three small diameters, so d_{big}=12cm, and d_{1}=d_{2}=d_{3}=4cm

Substituting and simplifying (in terms of pi):

P_{overall}=\frac{1}{2} \pi (  (12cm) +  (4cm) +  (4cm) + (4cm) )\\P_{overall}=\frac{1}{2} \pi ( 24cm)\\P_{overall}=12 \pi cm

<u>Additional Understanding</u>

Interesting for this problem, since the diameters of the 3 small curves formed the diameter of the large curve d_{1} + d_{2} + d_{3} =d_{big}, one could make a different substitution into one of our formulas above:

P_{overall}=\frac{1}{2} \pi (d_{big} + d_{1} + d_{2} +d_{3})

P_{overall}=\frac{1}{2} \pi (d_{big} + (d_{big}))

P_{overall}=\frac{1}{2} \pi (2d_{big})

P_{overall}=\pi d_{big}

Notice that \pi d_{big} is just the full perimeter of a circle with the big diameter.  

So, if one imagined starting with a full circle with the big diameter, even though the bottom half of the circle was turned into a bunch of smaller half circles, since they were in a line along the diameter of the large circle, the full perimeter of the new shape didn't change.

The number of smaller circles doesn't need to be 3 either... as long as it goes the full distance across, right along the diameter.

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OlgaM077 [116]

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V = 1,005.7

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Jobisdone [24]
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