Which simplified equation below represents the equation of the line, y - y1 = m(x - x1), through the point (4,4) that is perpendicular to x - 3y = -18?
A: y = 2/3x + 8/3
B: y = -3x + 4
C: y = 1/3x + 4
D: y = -3x + 16
(I asked this already but some genius messed it up)

Answers

Answer 1

Answer:

D

Step-by-step explanation:

y-y1=m(x-x1) through (4,4)

x-3y= -18 is perpendicular : m1*m2=-1

y=mx+c

-3y=-18-x

3y= 18+x

y=x/3 + 6

y= 1/3x + 6

m1*m2= -1

m1= -1/m2

m1= -1/1/3

m1= -3

y- 4= -3(x - 4)

y-4= -3x +12

y= -3x +12+4

y= -3x + 16


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Which expression has a value of -8?
A 14 + 2(−5) − (3)(9)
B (10 ÷ 5) − (2 ∙ 4) − 5 + 8
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i believe it would be c. -4-5-1-2(4)+10

explanation:

simplify 2 x 4 to 8
-4-5-1-8+10

simplify -4-5 to -9
-9-1-8+10

simplify -9-1 to -10
-10-8+10

simplify -10-8 to -18
-18+10

simplify
-8

How do I solve this arithmetic sequence?

Answers

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist

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units?
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Answer:

Area = 153.8 cm/ m

Step-by-step explanation:

Area of circle = 22 ÷ 7 × r²

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Answer: I think it would be 285.

Step-by-step explanation:

A circle is 360* so I did 360-75. Hope this helps!!!

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Answer:

y = -2

Step-by-step explanation:

When the input (x) is -5, we just look at where (-5) is on the x axis and see where the line is for the y-coordinate.

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Step-by-step explanation:

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which expression is equivalent to
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Answers

Answer:

D

Step-by-step explanation:

-2x - 8 - 3x - 8

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3x + y + 2x + 2y – 3
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The measure of arc AC is 40°
Step-by-step explanation:
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Martin recorded the low temperatures at his house for one week. The temperatures are shown below -7, -3, four, one, -2, -8, seven approximately what was the average low temperature for the week?

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What is the graph of one cycle of a sine curve with amplitude 5, period pi, and a>0?

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Answer:

c is correct

Step-by-step explanation:

if u have the equation y = a sin b (x),

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Answers

Answer:

[tex]m(c(a)) = 4.8875a[/tex]

Step-by-step explanation:

The missing parameters are:

[tex]c(a) = 4.25a[/tex] --- Cost of marble countertops

[tex]m(c) = 1.15c[/tex] --- Cost of retail markup

Required

The cost of marked up price

This implies that we calculate m(c(a))

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[tex]m(c) = 1.15c[/tex] can be written as:

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Is this correct?? Please dont mine the little notes I took when solving it..

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Answers

Answer and Step-by-step explanation:

Yes, all of your calculations are correct!!

The area of one rectangle is 192, and since there are 2 rectangles, we multiply 192 by 2, which results in 384.

The area of a triangle is [tex]A = \frac{(Height)(Base)}{2}[/tex], which you got to be 96.

The Semi Circle would have half of the area of a circle, so you are correct when you multiply the equation by [tex]\frac{1}{2}[/tex].

To find that diameter, we need to use the Pythagorean Theorem.

[tex]12^{2} + 16^{2} = d^{2} \\\\144 + 256 = d^{2} \\\\400 = d^2\\\\d = 20[/tex]

So the diameter is 20, and the radius is 10 (20 divided by 2 = radius).

Plug that into the equation, and you get the answer to be [tex]50\pi[/tex], or 157.0796327.

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