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2 years ago

What is an equation of the line that passes through the points (-2, 1) and (-8, 4)

Mathematics

2 answers:

denis-greek [22]2 years ago

8 0

Answer:

y= -1/2x

Step-by-step explanation:

i took a test on k12 and it was right

telo118 [61]2 years ago

5 0

Answer:

y= -1/2x

Step-by-step explanation:

y-y1/x-x1=y2-y1/x2-x1

y-1/x+2=-1/2

2y-2= -x-2

2y= -x-2+2

2y=-x

y=-1x/2„

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I ask you for your help

zavuch27 [327]

5th term = 4096 * (1/4)^(5-1) = 4096 * 1/256 = 16

4 0

3 years ago

Which scenario does not represent exponential growth?

storchak [24]

Answer:

I believe the correct answer is - The value of a bank account with quarterly compounded interest after 6 years.

I'm not sure if this is 100% correct but hope it helps.

4 0

2 years ago

Find the exact value of cos(a+b) if cos a=-1/3 and cos b=-1/4 if the terminal side if a lies in quadrant 3 and the terminal side

maria [59]

Answer:

cos(a + b) = $\frac{1}{12}(1-2\sqrt{30})$

Step-by-step explanation:

cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]

cos(a) = $-\frac{1}{3}$

cos(b) = $-\frac{1}{4}$

Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.

sin(a) = $-\sqrt{1-(-\frac{1}{3})^2}$ [Since, sin(a) = $\sqrt{(1-\text{cos}^2a)}$ ]

= $-\sqrt{\frac{8}{9}}$

= $-\frac{2\sqrt{2}}{3}$

Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be negative.

sin(b) = $-\sqrt{1-(-\frac{1}{4})^2}$

= $-\sqrt{\frac{15}{16}}$

= $-\frac{\sqrt{15}}{4}$

By substituting these values in the identity,

cos(a + b) = $(-\frac{1}{3})(-\frac{1}{4})-(-\frac{2\sqrt{2}}{3})(-\frac{\sqrt{15}}{4})$

= $\frac{1}{12}-\frac{\sqrt{120}}{12}$

= $\frac{1}{12}(1-\sqrt{120})$

= $\frac{1}{12}(1-2\sqrt{30})$

Therefore, cos(a + b) = $\frac{1}{12}(1-2\sqrt{30})$

5 0

3 years ago

A room has dimensions of 8 mx 6 mx 4 m.

natali 33 [55]

Answer:

Price of paint = Rs 16,640

Step-by-step explanation:

As 3 dimensions are given so the third one must be for ceiling.

So in this case, we can find area as follows:

Area = 2(length * width) + 2(length * height)+ 2(height * width)........eq1

Lets say:

Length = 8m

Width = 6m

Height = 4m

So putting value in eq1 we get:

Area = 2(8*6) + 2(8*4) + 2(4*6)

Area = 2(48) + 2(32)+ 2(24)

Area =96 + 64 + 48

Area = 208 sq. m

Now for calculating price:

Price of paint = 208 * 80

Price of paint = Rs 16,640

I hope it will help you!

5 0

3 years ago

Given A(-9,-12), B(-2,2), C(x,6) D, "-5,-2)," find the value of x so that AB is parallel to CD

Dima020 [189]

Answer:

hi thanks

Step-by-step explanation:

4 0

2 years ago