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3 years ago

Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).

Mathematics

2 answers:

Elena-2011 [213]3 years ago

6 0

Answer:

its actually c

Step-by-step explanation:

harina [27]3 years ago

4 0

The equation of line is:

$y=-\frac{1}{2}x+6$

Further explanation:

Given

y = 2x + 2

Comparing it with standard form:

y=mx+b

Let m1 be the slope of given line

$m_1=2$

We know that product of slopes of two perpendicular lines is -1

Let m2 be the slope of second line

$m_1.m_2=-1\\2*m_2= -1\\m_2 = -\frac{1}{2}$

Putting the value of m2 in standard form

$y=-\frac{1}{2}x+b$

To find the value of b, putting (6,3) in equation

$3=-\frac{1}{2}(6)+b\\3=-3+b\\3+3=b\\b=6$

Putting the values of b and m, we get

$y=-\frac{1}{2}x+6$

The equation of line is:

$y=-\frac{1}{2}x+6$

Keywords: Slope, Point-slope form

Learn more about slope at:

#learnwithBrainly

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Factor 2x^2 + 8x + 6 Thank You

vampirchik [111]

Factored form: 2(x^2 + 4x + 3)

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3 years ago

What is the half-angle of tangent 22.5 (degrees)?

Sergio039 [100]

Find tan (22.5)

Answer: #-1 + sqrt2#

Explanation:

Call tan (22.5) = tan t --> tan 2t = tan 45 = 1

Use trig identity: # tan 2t = (2tan t)/(1 - tan^2 t)# (1)

#tan 2t = 1 = (2tan t)/(1 - tan^2 t)# -->
--> #tan^2 t + 2(tan t) - 1 = 0#
Solve this quadratic equation for tan t.

#D = d^2 = b^2 - 4ac = 4 + 4 = 8# --> #d = +- 2sqrt2#
There are 2 real roots:
tan t = -b/2a +- d/2a = -2/1 + 2sqrt2/2 = - 1 +- sqrt2
Answer:
#tan t = tan (22.5) = - 1 +- sqrt2#
Since tan 22.5 is positive, then take the positive answer:
tan (22.5) = - 1 + sqrt2

6 0

3 years ago

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The number of bacteria in a petri dish is 50,000 (on day 0) if the amount is doubling each day by when will the number of bacter

Drupady [299]

Answer:

f(x) = 50000*2^x
3 days

Step-by-step explanation:

Given:

Initial amount of bacteria = 50000
Growth rate = 2 times a day

Required equation:

f(x) = 50000*2^x

Solve for x:

400000 = 50000*2^x
2^x = 400000/50000
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2^x = 2^3
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After 3 days bacteria numbers will reach 400000

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3 years ago

A ream of paper contains 500 sheets of paper. Norm has 373 sheets of paper left from the ream. Express the portion of a ream Nor

Mice21 [21]

Answer:

373/500 = fraction

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Step-by-step explanation:

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3 years ago

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3 Write a numerical expression to model the words. Subtract 1 from the product of 4 and 5.

umka21 [38]

Answer:

Hello!

After reading the question you have provided I have come up with the correct numerical expression:

4x5-1

Step-by-step explanation:

To come up with this solution you need to keep in mind some of the terminoloy being used.

The word "subtract" comes from the action of subtraction

The word "product" comes from the action of multiplication

Thus, using those terminologies correctly, you can then deduce that when the question says "the product of 4 and 5" means "multiplying 4 and 5 together".

So you get the first part being 4x5

Then, you add in the last part of "subract 1" from the "product of 4 and 5":

4x5-1

Remember to keep in mind the rule of "PEMDAS"

You always need to keep the multiplication portion of the equation in front of any subtraction, or addition in any given equation.

7 0

2 years ago

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