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yawa3891 [41]
3 years ago
7

Write the equation of the line with a slope of 1/5 that passes through the point (20,5)

Mathematics
1 answer:
kolbaska11 [484]3 years ago
6 0

Answer:

y =  \frac{1}{5} x + 1

Step-by-step explanation:

the general equation of a line is y=mx+c

because the slop is 1/5, the equation of this line would be

y =  \frac{1}{5} x + c

with the coordinates (20,5) , take 20=x and 5=y

and substitute these values into the equation above.

you should get:

5= 4 + c

so c = 1

therefore, the equation of the line is:

y =  \frac{1}{5} x + 1

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Solve the equation by completing the square. Round to the nearest hundredth if necessary. X^2 + 5x-10=0
viktelen [127]

(*)\\(a+b)^2=a^2+2ab+b^2

x^2+5x-10=0\ \ \ |+10\\\\x^2+2\cdot x\cdot2.5=10\ \ \ |+2.5^2\\\\\underbrace{x^2+2\cdot x\cdot2.5+2.5^2}_{(*)}=10+2.5^2\\\\(x+2.5)^2=16.25\to x+2.5=\pm\sqrt{16.25}\\\\x+2.5\approx-4.03\ \vee\ x+2.5=4.03\ \ \ |-2.5\\\\x\approx-6.53\ \vee\ x\approx1.53

4 0
3 years ago
What is the slope of the line segment?<br><br> −3<br> Negative 1 over 3<br> 1 over 3<br> 3
romanna [79]
Ah, one of my FAVORITES!
1. Take 2 points, ill take (0, 0) and (4, 12)
2. Set them as "1" and "2" so (0, 0) be 1 and (4, 12) be 2.
3. \frac{y_{2}-y _{1} }{x_{2}-x_{1}} and insert the equations.
4. You get \frac{12-0}{4-0} which simplifies to \frac{12}{4}.
5. 12 /4=3
6. Slope = 3
Hope this helps ^^
5 0
3 years ago
Mrs Grey is buying decorative ribbon of three different colors: blue, silver, and yellow. Blue ribbon is sold in rolls of 15 met
olganol [36]

Answer:

4 rolls of blue ribbon,

5 rolls of silver ribbon,

3 rolls of yellow ribbon.

Step-by-step explanation:

We have been given that Mrs Grey is buying decorative ribbon of three different colors: blue, silver, and yellow. Blue ribbon is sold in rolls of 15 meters, silver is sold in rolls of 12 meters, and yellow comes in rolls of 20 meters.

As Mrs. Grey needs to have same length of each ribbon, so we will find the least common multiple of 15, 12 and 20.

Multiples of 15 are: 15, 30, 45, 60, 75, 90,...

Multiples of 12 are: 12, 24, 36, 48, 60, 72, 84,...

Multiples of 20 are: 20, 40, 60, 80,100,...

We can see that 60 is the least common multiple of 15, 12 and 20.

\text{The smallest number of rolls of blue ribbon}=\frac{60}{15}=4

Therefore, Mrs. Grey should buy 4 rolls of blue ribbon.

\text{The smallest number of rolls of silver ribbon}=\frac{60}{12}=5

Therefore, Mrs. Grey should buy 5 rolls of silver ribbon.

\text{The smallest number of rolls of yellow ribbon}=\frac{60}{20}=3

Therefore, Mrs. Grey should buy 3 rolls of yellow ribbon.

3 0
4 years ago
Do you know the answer to 8+(10-4)-3*2 and how to solve it?
kirill115 [55]

Answer:

8

Step-by-step explanation:

10 minus 4 goes first because of BODMAS so thats 6

then 3 times 2 because again bodmas to thats 6

so then its 8 + 6 - 6

can be done in any order not affected by bodmas

6-6 cancels out so the answer is 8

comment if you want an in depth explanation on bodmas lol

6 0
2 years ago
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Find the distance between points B and C on the graph. A) 5 B) 17 C) 5 D) 34
vodomira [7]

Answer: 3 to the right 5 going up i hope that can help a little bit

Step-by-step explanation: plz make brainly

8 0
3 years ago
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