All categories

1 year ago

What’s the equation of the blue line??

Mathematics

1 answer:

Sholpan [36]1 year ago

4 0

Answer:

y = -1/2 + 2 (Slope intercept)

Step-by-step explanation:

Y-intercept is when the x-value is 0.

So the y-intercept is (0, 2)

To find slope, find two random points:

(0, 2) , (2, 1)

Slope (m) =ΔY/ΔX = -1/2 = -0.5

Equation of the line:

y = -0.5x + 2

y = -1/2 + 2

When x=0, y = 2

When y=0, x = 4

You might be interested in

Select the equation that contains the point (4, -8), and in which the graph of the line has a positive slope.

BaLLatris [955]

Okay, let me just make this a little clearer. Hopefully, this is what you meant:

A. y - 8 = -4(x + 4)
B. y - 8 = 4(x + 4)
C. y + 8 = 4(x - 4)
D. y + 8 = -4(x - 4)

--

This can also be written as y2 - y1 = m(x2 - x1).

Your M is your slope.

Both A and D have their m as a negative 4. Because you are looking for a positive slope, immediately cancel those answers.

* note that you could have also put them in a more standard form and discovered m which is the x in bx.

Now, you are looking for an equation that contains (4,-8).

Because it is written as y2-y1, your y's are actually points if you were to find another slope or something. This part is a bit hard to explain, but -8 is only found in the y coordinate place in answer B. Your answer would be B. For more explanation on that, there's this great site called coolmath.com and if you search for finding the equation of two points, it explains it much better on there, but I would not want to plagiarize.

The answer is B.

5 0

2 years ago

In a set of 25 aluminum castings, four castings are defective (D), and the remaining twenty-one are good (G). A quality control

lianna [129]

Answer:

The sample space for selecting the group to test contains 2,300 elementary events.

Step-by-step explanation:

There are a total of N = 25 aluminum castings.

Of these 25 aluminum castings, n₁ = 4 castings are defective (D) and n₂ = 21 are good (G).

It is provided that a quality control inspector randomly selects three of the twenty-five castings without replacement to test.

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

${n\choose k}=\frac{n!}{k!(n-k)!}$

Compute the number of samples that are possible as follows:

${25\choose 3}=\frac{25!}{3!\times (25-3)!}$

$=\frac{25\times 24\times 23\times 22!}{3!\times 22!}\\\\=\frac{25\times 24\times 23}{3\times 2\times 1}\\\\=2300$

The sample space for selecting the group to test contains 2,300 elementary events.

6 0

3 years ago

Laura has 3.85 pounds of bananas. She goes to the store to buy 2.75 more pounds of bananas to make banana bread. Each loaf requi

Inessa [10]

Answer:

Step-by-step explanation:

3.85+2.75= 6.6

6.6÷0.30= 22

6 0

2 years ago

Read 2 more answers

Solve for x. x+2/3=−1/6

Sphinxa [80]

Answer:-

x=-5/2

Step-by-step explanation:

x+2/3=-1/6

after cross-mutiplying,

6(x+2)=-3

6x+12=-3

6x=-3-12

6x=-15

x=-15/6

x=-5/2

hope this helps u!!

6 0

2 years ago

Read 2 more answers

What is the value of y?

NNADVOKAT [17]

Answer:

y = 40

Step-by-step explanation:

Lets make an equation to represent the sum of the angles:

We know that the sum of angles of triangles equals 180 degrees. So based on this knowledge, the equation is :

2y + y + 10 + 50 = 180

Now we simplify:

2y + y = 3y

10 + 50 = 60

So our new equation is 3y + 60 = 180

Now all we have to do is simplify:

3y + 60 = 180

3y + 60 -60 = 180 - 60

3y = 120

3y / 3 = 120 / 3

y = 40

So the answer is 40 hope this helped

7 0

2 years ago