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weqwewe [10]
3 years ago
12

Anya graphed the line (y−2)=3(x−1) on the coordinate grid. A coordinate plane with a line passing through the points, (negative

2, negative 7), (0, negative 1), and (1, 2). What is the slope of Anya’s line? −3 −1 1 3
Mathematics
2 answers:
Rudik [331]3 years ago
7 0

Answer:

Slope of Anya's line is m = 3

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given Anya graphed the line

                              (y−2)=3(x−1)

we know that  slope intercept form is

                                y = mx +c

now given Anya line

                           y−2=3(x−1)

            ⇒            y - 2 = 3x - 3

          ⇒             y = 3x - 3 + 2

         ⇒              y = 3 x - 1

Comparing slope -intercept form

                        y = mx +c

slope of Anya's line is m = 3 and y-intercept C = -1

LenKa [72]3 years ago
4 0

Answer:

M=3

Step-by-step explanation:

Hope this helps!

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morpeh [17]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Use the Double Angle Identity: sin 2Ф = 2sinФ · cosФ

Use the Sum/Difference Identities:

sin(α + β) = sinα · cosβ + cosα · sinβ

cos(α - β) = cosα · cosβ + sinα · sinβ

Use the Unit circle to evaluate: sin45 = cos45 = √2/2

Use the Double Angle Identities:   sin2Ф = 2sinФ · cosФ

Use the Pythagorean Identity: cos²Ф + sin²Ф = 1

<u />

<u>Proof LHS → RHS</u>

LHS:                                  2sin(45 + 2A) · cos(45 - 2A)

Sum/Difference: 2 (sin45·cos2A + cos45·sin2A) (cos45·cos2A + sin45·sin2A)

Unit Circle:    2[(√2/2)cos2A + (√2/2)sin2A][(√2/2)cos2A +(√2/2)·sin2A)]  

Expand:        2[(1/2)cos²2A  + cos2A·sin2A + (1/2)sin²2A]

Distribute:              cos²2A   + 2cos2A·sin2A + sin²2A  

Pythagorean Identity:    1 + 2cos2A·sin2A

Double Angle:                1 + sin4A

LHS = RHS:  1 + sin4A = 1 + sin4A   \checkmark

6 0
3 years ago
A girl runs along the sides of a square garden which is 85m long. If she covers 50cm in one step, how many steps will she take t
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Answer:

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Step-by-step explanation:

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6 0
3 years ago
The two parallel sides of a trapezium are 19.8 and 7.2 and its area is 135 cm²..find its height
Virty [35]

Answer:

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Step-by-step explanation:

the formula for an area of a trapezium:

\frac{(a + b) \times h}{2}  = area

where a and b are the parallel sides and h is the height. equating what we have:

\frac{(19.8 + 7.2) \times h}{2}  = 135

simplify the numerator by adding 19.8 and 7.2=27

\frac{27h}{2}  = 135

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divide both sides by 27

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How much money will be accrued after 3 years if a principal investment of $820 is compounded continuously at 5%?
ludmilkaskok [199]
Total = Principal * e ^ (rate * years)
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Source:
http://www.1728.org/rate2.htm


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4 years ago
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