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yaroslaw [1]
2 years ago
11

List all of the prime numbers between 10-20.

Mathematics
1 answer:
Reptile [31]2 years ago
3 0

Step-by-step explanation:

https://vm.tiktok.com/ZSeevAd7H/

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Ernesto solves the equation below by first squaring both sides of the equation. \sqrt{\dfrac{1}{2}w+8}=-2 2 1 ​ w+8 ​ =−2square
algol [13]

Answer:

<h2>w = -8</h2>

Step-by-step explanation:

Given the equation solved by Ernesto expressed as \sqrt{\dfrac{1}{2}w+8}=-2, the extraneous solution obtained by Ernesto is shown below;

\sqrt{\dfrac{1}{2}w+8}=-2\\\\square\ both \ sides \ of \ the \ equation\\(\sqrt{\dfrac{1}{2}w+8})^2=(-2)^2\\\\\dfrac{1}{2}w+8 = 4\\\\Subtract \ 8 \ from \ both \ sides\\\\\dfrac{1}{2}w+8 - 8= 4- 8\\\\\dfrac{1}{2}w= -4\\\\multiply \ both \ sides \ by \ 2\\\\\dfrac{1}{2}w*2= -4*2\\\\w = -8

Hence, the extraneous solution that Ernesto obtained is w = -8

4 0
3 years ago
CAN SOMEONE PLEASE WRITE A EQUATION OF THIS LINE!!
serious [3.7K]

Answer (<u>assuming it can be in slope-intercept form)</u>:

y = -x - 1

Step-by-step explanation:

When knowing the slope of a line and its y-intercept, you can write an equation to represent it in slope-intercept form, or y = mx + b format. Substitute the m and b for real values.

1) First, find the slope of the equation, or m. Pick any two points from the line and substitute their x and y values into the slope formula, m = \frac{y_2-y_1}{x_2-x_1}. I chose the points (0, -1) and (-1, 0):

m = \frac{(0)-(-1)}{(-1)-(0)} \\m = \frac{0+1}{-1-0} \\m = \frac{1}{-1} \\m = -1

Thus, the slope is -1.

2) Now, find the y-intercept, or b. The y-intercept of a line is the point at which the line crosses the y-axis. By reading the graph, we can see that the line intersects the y-axis at the point (0,-1), therefore that must be the y-intercept.  

3) Now, substitute the found values into the y = mx + b formula. Substitute -1 for m and -1 for b:

y = -x  -1

5 0
3 years ago
Read 2 more answers
Marcus observed that 8 of the 20 games that he had bowled last week were over 180. What percent of his games were over 180?
shepuryov [24]

Answer:

40%

Step-by-step explanation:

Ok so my brain is sorta not working but it said "hey! 20 divided by 2 is 10!"

So I was like ight and divided 80 by 2 to to get 40%.

Hope this helps.

6 0
2 years ago
62 in x 48 in 144 in Set Up Proportion height=​
JulijaS [17]

Answer:

A geometric diagram of the two shadows and the height of the two people are shown below.

Step-by-step explanation:

5 0
3 years ago
It’s possible to build a triangle with side lengths of 5,5, and 10
nikitadnepr [17]
No.  The two lengths 5 and 5 add up to 10; you'd have two sides of length 5 each placed end to end, equaling 10.  That'd be represented by segments on a straight line, not a triangle.

Hope you've drawn a picture, so as to understand this better.  ;)

7 0
2 years ago
Read 2 more answers
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