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3 years ago

Find the equations of the line that:

Mathematics

1 answer:

ohaa [14]3 years ago

6 0

Answer: Part A: y = x + 6

Part B: y = 10

The attachment shows the graphs of these equations.

Step-by-step explanation:

Find the slope, and then the y-intercept. Then write the equation in Slope-intercept form . y= mx+b

m is the slope. b is the constant, the y-intercept.

First find the slope: rise/run

Rise is the difference in y-values 10-7 = 3

Run is the difference between x-values 4 - 1 = 3

The Slope is 3/3 simplify:

m = 1

Use this calculated slope with values of y and x from either of the given coordinates and calculate b

y = mx + b

10 = 1(4) + b <em>The 1 is not necessary, its "implied" and invisible as a factor in multiplication</em>

10 = 4 + b . subtract 4 from both sides 10 - 4 = 4 - 4 + b

6 = b

Put these calculated values for m and b into the slope-intercept equation"

y = x + 6

_________

Part B: Step-by-step explanation: Slope-intercept form . y= mx+b

First find the slope: rise/run

Rise is the difference in y-values 10 - 10 = 0

At this point you know that if the slope is 0, it is a horizontal line intersecting the y-axis at the y-value, 10

That graphed line will pass through All x-values.

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A piece of wood weighing 10 ounces is found to have of 8 ounces after drying . The moisture content was

ollegr [7]

20%, I believe. The piece of wood lost 2 ounces of moisture after drying, and 2/10 = 20/100

8 0

3 years ago

( Will hand out brainiest) A California condor left its cliff-side nest and soared downwards at a rate of 16 meters per second.

svet-max [94.6K]

First calculate the distance covered going down:

d_down = (16 m / s) * 8 s = 128 m

Then the distance going up is:

d_up = 71 m

So the distance from the ledge to the nest is:

d = 128 m – 71 m = 57 m

Therefore the elevation is:

<span>elevation = 1364 m + 57 m = 1421 m</span>

4 0

2 years ago

Mixed in a drawer are 44 blue socks, 88 white socks, and 44 gray socks. You pull out two socks, one at a time, without looki

MrRissso [65]

Answer:

The probability of getting 2 socks of the same color is 1/3.

Step-by-step explanation:

In the drawer,

Number of blue socks = 4

Number of white socks = 8

Number of gray socks = 4

Total number of socks = 4 + 8 + 4 = 16

Total ways to select 2 socks form 16 socks is

$^{16}C_2=\dfrac{16!}{2!(16-2)!}=120$

Total ways to select 2 socks of the same color is

T = Possible ways of (2 blue + 2 white +2 gray) socks

= $^{4}C_2+^{8}C_2+^{4}C_2$

= $6+28+6$

= $40$

The probability of getting 2 socks of the same color is

$Probability=\dfrac{\text{Total ways to select 2 socks of the same color}}{\text{Total ways to select 2 socks form 16 socks}}$

$Probability=\dfrac{40}{120}$

$Probability=\dfrac{1}{3}$

Therefore, the probability of getting 2 socks of the same color is 1/3.

3 0

2 years ago

Need help anyone can help giving brain liest

trapecia [35]

Answer:

14 gel pens/minute

Step-by-step explanation:

divide the amount by time.

210/15 = 14

6 0

3 years ago

Read 2 more answers

Amy is solving the equation using the steps shown.

Delicious77 [7]

The correct next step Amy could take is to factor (x^2 - 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.

The equation is given as:

$\mathbf{(x^2 - 16)(x + 2) = 0}$

The possible next steps are:

1. Expand the equation as follows

$\mathbf{x^3+2x^2-16x-32 = 0}$

2. Express x^2 -16 as a difference of two squares as follows

$\mathbf{(x + 4)(x- 4)(x + 2) = 0}$

However, the correct step in this case is to factor x^2 - 16 as a difference of two squares to give $\mathbf{(x + 4)(x- 4)(x + 2) = 0}$

This is so, because the question says Amy is trying to solve for variable x.

This step will ensure that she gets the possible values of x, unlike expanding the whole equation .

Hence, the correct next step is $\mathbf{(x + 4)(x- 4)(x + 2) = 0}$