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3 years ago

3. Write the equation of the line that passes through the point (-3, 4) and is perpendicular to the

Mathematics

1 answer:

LenKa [72]3 years ago

7 0

Answer:

We must must transform the standard form equation 3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.

3x+6y=5 (Subtract 3x on both sides.)

6y=−3x+5 (Divide both sides by 6.)

y=−

The slope of our first line is equal to −

. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is −

The negative reciprocal of −

is equal to 2, therefore 2 is the slope of our line.

Since the equation of line passing through the point (1,3), therefore substitute the given point in the equation y=2x+b:

3=(2×1)+b

3=2+b

b=3−2=1

Substitute this value for b in the equation y=2x+b:

y=2x+1

Hence, the equation of the line is y=2x+1.

Step-by-step explanation:

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Mr dugan began s planting tomato plants in his garden at 805 am. If he stops gardening at 849 am, for how long was he working ib

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849-805=44 min is the answer and I dot know why you needed hep for it.

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4 years ago

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Help pleaseee Im trying to get an A in class

likoan [24]

Answer:

191

Step-by-step explanation:

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3 years ago

If mice ate all of the plants, how many kcal of energy would be available to them as first-level consumers?

Andrews [41]

5. 1000

6. 100

7. 10

8. 0.9

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3 years ago

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21-3+18/6<br><br> What is the correct answer?

Mnenie [13.5K]

Answer:

Step-by-step explanation:

PEMDAS:

Parenthesis

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Multiplication and Division

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21-3+3

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A piece of wire 40 cm long is to be cut into two pieces. One piece will be bent to form a circle and; the other will be bent to

Brums [2.3K]

<h3>The perimeter of circle = 17.6 cm</h3><h3>Perimeter of square = 22.4 cm</h3>

Step-by-step explanation:

The total length of the wire = 40 cm

Let us assume the circumference of the circle = k cm

So, the circumference of the square = ( 40 - k) cm

Now,as circumference of circle = 2πR

⇒2πR = k cm or, R = $(\frac{k}{2\pi})$

Area of the circle = πR²

or, A = $\pi (\frac{k}{2\pi} )^2$

$= \pi \times (\frac{k^2}{(2\pi)^2} ) = \frac{k^2}{4 \pi} \\\implies A = \frac{k^2}{4 \pi}$ ....... (1)

Similarly , perimeter of square = 4 x Side

⇒ 4 x Side = ( 40 - k) cm ⇒ S = $(\frac{40 - k}{4} )$

Area of the square = (Side)² = $(\frac{40 - k}{4} ) ^2$

Solving, we get: $A = \frac{1600 + k^2 - 80 k}{16}$ ....... (1)

So, combining (1) and (2), total area A is

$A = (\frac{k^2}{4 \pi} ) + \frac{k^2 + 1600 - 80 k }{16}$

or, we get: A = 0.07962 k² + 0.0625 k² + 100 - 5 k

A = 0.1422 k² - 5 k + 100

For axis of symmetry : $k = (\frac{-b}{2a} ) = (-\frac{-5}{2(0.1420}) = 17.6$

⇒ k = 17.6 inches

So, the perimeter of circle = 17.6 cm

Perimeter of square = (40 - 17.6 ) = 22.4 cm

3 0

3 years ago