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gregori [183]
1 year ago
7

A line has the equation y = 3x + 16 what are the coordinates of the y intercept of the line?

Mathematics
2 answers:
Tanya [424]1 year ago
8 0

Answer:

(0, 16)

Step-by-step explanation:

The intercepts of a graph are points at which the graph crosses the axis. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero. The y-intercept is the point at which the graph cross the y-axis.

In a slope-intercept equation, the format goes like this:

y = mx + b / c

M = slope

B/c = y-intercept

So in the equation y = 3x + 16, 3 is the slope and 16 is the y-intercept.

Hence, the coordinates of the the y-intercept of the line are (0, 16).

bearhunter [10]1 year ago
3 0

Answer:

(0, 16)

Step-by-step explanation:

  • y = 3x + 16

  • Plug x = 0

  • -> y = 3*0 + 16

  • -> y = 0 + 16

  • -> y = 16

  • -> y- intercept = (0, 16)
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xxMikexx [17]

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(a) 6x + (x + 12) = 180  

(b) m<1 = 144       m<2 = 36

Step-by-step explanation:

7x + 12 = 180

7x = 168

x = 24

6(24) = 144

(24) + 12 = 36

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3 years ago
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3 years ago
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If a^2+b^2= 4 and ab = 5, what is the value of<br> (a+b)^2?<br> A. 10<br> B. 12<br> C. 14<br> D. 16
wlad13 [49]

Answer:

14

Step-by-step explanation:

(a+b)^2

(a+b)(a+b)

FOIL

a^2 + ab+ab + b^2

Combine like terms

a^2 +2ab + b^2

Rearranging

a^2+b^2 +2ab

We know a^2+b^2 = 4  and ab= 5

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5 0
3 years ago
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A cheetah can travel three hours at top speed for 225 miles how many miles per hour?
jolli1 [7]

Answer:

The answer is 75 miles per hour

Step-by-step explanation:

225÷3=75 ( how many times 3 go into 225)

We can check to see if this answer is correct by multiplying 75 by 3 ( multiply 75 three times)

75×3=225

There for 75 is the correct answer

(I hope this helped you answer your question. If you want to check if I'm correct you can use a calculator! Have a wonderful day!)

:)

6 0
3 years ago
What is the equation of a line parallel to the x-axis that passes though the point (4,5)? What is the slope of this line
Svetlanka [38]

Slope of a line parallel to the x -axis is 0

y = 5 is the required equation of a line parallel to the x-axis that passes though the point (4,5)

<h3><u>Solution:</u></h3>

Given that  a line parallel to the x-axis that passes though the point (4,5)

To find: slope of this line and equation of a line

The x -axis is a horizontal line with the equation y = 0 There are an infinite number of lines that are parallel to the x -axis, y = 0

All horizontal lines have slope of 0

If lines are parallel then they have the same slope. The slope of a line parallel to the x -axis is 0

The equation of a straight line parallel to x-axis at a distance b from it is y = b

Here "b" is the y - co-ordinate value

Here given point is (4, 5) so b = 5

The required equation is y = 5

<h3><u>Method 2:</u></h3>

We know slope "m" = 0

Given point is (4, 5)

<em><u>The slope intercept form is given as:</u></em>

y = mx + b --- eqn 1

Where "m" is the slope of line and "b" is the y - intercept

Substituting m = 0 and (x, y) = (4, 5)

5 = 0(4) + b

b = 5

Substitute b = 5  and m = 0 in eqn 1

y = 0 + 5

y = 5 is the required equation of a line parallel to the x-axis that passes though the point (4,5)

6 0
3 years ago
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