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vivado [14]
3 years ago
9

You are planning a training program to run a marthon. You start your program by running 5 miles per week and want to add 3.9 mor

e miles each week.
y = 3.9 + 5x
Graph the equation

Mathematics
1 answer:
sashaice [31]3 years ago
3 0

Answer:


Step-by-step explanation:


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Find the slope of the line with the given equation. Show your work.<br> 6x – 2y = 18
Vera_Pavlovna [14]
Currently the equation 6x - 2y = 18 is in standard form. Convert the standard form equation into a slope-intercept form and we can find the slope easily.

Solve for y.

6x - 2y = 18
-2y        = 18 - 6x <-- Subtract 6x from each side. This is to isolate the 2y term
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                                                               get rid of the 2 coefficient.
y = -9 + 3x

Rearrange the right-hand side a bit.

y = -9 + 3x becomes y = 3x - 9

Now it is in slope-intercept form.
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7 0
3 years ago
A triangle with the coordinates X(3, 2), Y(5, -1), and Z(-2, 3) is reflected across both the x- and y-axes. The coordinates afte
nata0808 [166]

Answer:

The coordinates of the reflected triangle are X'(x,y) = (-3,-2), Y' (x,y) = (-5,1) and Z'(x,y) = (2,-3).

Step-by-step explanation:

Let be a point (a,b)\in\mathbb{R}^{2}, reflections across x- and y-axes are represented by the following operations:

x-Axis reflection:

d = d'

b - 0 = 0 - b'

b' = -b

y-Axis reflection:

d = d'

a - 0 = 0 - a'

a' = -a

If we know that X (x,y) = (3,2), Y(x,y) = (5,-1) and Z (x,y) = (-2, 3), the coordinates after both reflections are, respectively:

X'(x,y) = (-3,-2)

Y' (x,y) = (-5,1)

Z'(x,y) = (2,-3)

The coordinates of the reflected triangle are X'(x,y) = (-3,-2), Y' (x,y) = (-5,1) and Z'(x,y) = (2,-3).

8 0
3 years ago
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