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Gnom [1K]
1 year ago
9

The points ​(10​,14​) and ​(35​,49​) form a proportional relationship. Find the slope of the line through the points. Then use t

he slope to graph the line.
Mathematics
1 answer:
Readme [11.4K]1 year ago
6 0

The slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points ​(10​,14​) and ​(35​,49​) form a proportional relationship.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

From the above formula, we can find the slope of the line:

m = (49-14)/(35-10)

m = 35/25

m = 7/5

The equation will be:

y = 7x/5 + c

here c is the y-intercept

Plug (10, 14) in the equation to find the value of c

14 = 7(10)/5 + c

c = 0

y = 7x/5  or

5y - 7x = 0

Thus, the slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points ​(10​,14​) and ​(35​,49​) form a proportional relationship.

Learn more about the slope here:

brainly.com/question/3605446


#SPJ1

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e-lub [12.9K]

4(4x)+(x)

= 16x+x

Combine like terms

16x+x

(16x+x)

= 17x

x=17


I hope that's help ! Good night .

5 0
3 years ago
Can someone pls help me​
yarga [219]
If I read the problem correctly, the answer should be D) 5.

The picture was blurry so I hope I read it right.

I hope this is correct and that it helps✨❤️
6 0
2 years ago
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F(x)= -2x^2<br>what is the vertex of this and/or how do you find the vertex??​
Doss [256]

Answer:

(0,0)

Step-by-step explanation:

x value of vertex = -b/2a

ax^2+bx+c

-2x^2+0x+0 sinc you have no value of b & c in your quadratic function

-b = 0

2a = (2)(-2)

-b/2a = (0/-4) = 0

x value of the vertex = 0

plug 0 in for all values of x in the function to find y coordinate value

-2(0)^2 = 0

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7 0
2 years ago
35 – 2.4 ( 7 – 5)<br> Show each step
saveliy_v [14]

Answer:

35 - 2.4(7-5)

= (35/1)-(24/10)(7-5)

= [(35×10)/(1×10)]-(24/10)(2)

= (350/10)-(24/10)(2)

= (350-24)/10(2)

= 326/10(2)

= 32.6(2)

= 65.2

Thank you.

BY GERALD GREAT.

5 0
2 years ago
Which statement describes the symmetry of the data in the two box plots?
inysia [295]

Answer:

The data in country B are more symmetric than the data in country A.

Step-by-step explanation:

The following information is missing:

<em>The box plots show the average wind speeds, in miles per hour, for various cities in two different countries. Average Wind Speeds of Cities in Country A 2 box plots. The number line goes from 1 to 11. For the average wind speeds of cities in country A, the whiskers range from 1 to 9.5, and the box ranges from 3 to 7. A line divides the box at 4. For the average wind speeds of cities in country B, the whiskers range from 1.2 to 11, and the box ranges from 4 to 9. A line divides the box at 6. Average Wind Speeds of Cities in Country B</em>

Country A

  • minimum: 1
  • quartile 1: 3
  • median: 4
  • quartile 3: 7
  • maximum: 9.5

Country B

  • minimum: 1.2
  • quartile 1: 4
  • median: 6
  • quartile 3: 9
  • maximum: 11

We can see that the difference between quartile 1 and minimum, median and quartile 1, quartile 3 and median, and maximum and quartile 3 is more homogeneous in Country B than Country A, then Country B is more symmetric.

3 0
3 years ago
Read 2 more answers
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