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3 years ago

Write an equation for the line that passes through the points (0, -2) and (-4, 0).

Mathematics

2 answers:

adoni [48]3 years ago

7 0

Answer:

y=-1/2x-2

Step-by-step explanation:

I dont think any of those options are the right one so thats the correct answer

tekilochka [14]3 years ago

5 0

Answer: y = -1/2x - 2

Step-by-step explanation:

To first write the equation, we need to find the slope and the y intercept and write it in the form y=mx +b

To find the slope, we will find the difference between the y coordinates and divide it by the difference between the x coordinates.

The y coordinates of the points are , 0 and -2

The x coordinates of the points are -4 and 0

0 - (-2) = 2

-4 -0 = -4

Slope: 2/-4 = -1/2

Now using the formula y=mx+b, you will input the slope and use one of the given point's coordinates to solve for b the y intercept.

We will use the point (0,-2)

-2 = -1/2(0) + b

-2 = b

This means the equation will be y = -1/2x - 2

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The measure of arc LK is?

Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

Because MK is a diameter, then angle L is a right angle. We already know that the measure of angle K is 50, so the measure of angle M has to be 40 because of the triangle angle-sum theorem. The rule for inscribed angles and the arcs they cut off is that the angle is half the measure of its intercepted arc or, likewise, the arc is twice the measure of the angle that cuts it off. Since arc LK is across from angle M and is cut off by angle M, then arc LK is twice the measure of angle M, and is 80. That's the same reason why angle L is 90; arc MK is a semi-circle, with a degree measure of 180, and angle L is half of that.

Arc LK = 80

5 0

2 years ago

Make an equation that would equal to 6, numbers u can use is 4,9,1,5

steposvetlana [31]

Write down : 2, +, 3 + 1

8 0

3 years ago

Read 2 more answers

Identify whether the series sigma notation infinity i=1 15(4)^i-1 is a convergent or divergent geometric series and find the sum

const2013 [10]

Answer: The correct option is

(d) This is a divergent geometric series. The sum cannot be found.

Step-by-step explanation: The given infinite geometric series is

$S=\sum_{i=1}^{\infty}15(4)^{i-1}.$

We are to identify whether the given geometric series is convergent or divergent. If convergent, we are to find the sum of the series.

We have the D' Alembert's ratio test, states as follows:

Let, $\sum_{i=1}^{\infty}a_i$ is an infinite series, with complex coefficients $a_i$ and we consider the following limit:

$L=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}.$

Then, the series will be convergent if L < 1 and divergent if L > 1.

For the given series, we have

$a_i=15(4)^{i-1},\\\\a_{i+1}=15(4)^i.$

So, the limit is given by

$L\\\\\\=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i-1}}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i}4^{-1}}\\\\\\=\dfrac{1}{4^{-1}}\\\\=4>1.$

Therefore, L >1, and so the given series is divergent and hence we cannot find the sum.

Thuds, (d) is the correct option.

7 0

3 years ago

Read 2 more answers

In 2002, Tiger Woods won the masters tournament. His scores were -4, -3, -2, and -1. What was his final score?

puteri [66]

Answer:

-10

Step-by-step explanation:

-4 + -3 = -7

-7 + -2 = -9

-9 + -1 = -10

3 0

2 years ago

You work at Dave's Donut Shop. Dave has asked you to determine how much each box of a dozen donuts should cost. There are 12 don

slava [35]

A box of donuts would cost: b = 3.84 + 0.18f

First, we have to find the total cost of the donuts.
12 x 0.32 = 3.84

Next, we need to determine the cost of the box. However, we don't know the surface area, just the cost per foot. We can multiply the number of square feet of the box by $0.18 to find the cost.

So our equation could be: b = 3.84 + 0.18f (where f is the surface area of the box in square feet)

8 0

3 years ago