3 years ago

What is the slope of the line 3x- 9y=4

Mathematics

2 answers:

Oksi-84 [34.3K]3 years ago

6 0

Answer:

C) 1/3

Step-by-step explanation:

On Edge2020

vlabodo [156]3 years ago

4 0

Answer:

1/3 is your answer

Step-by-step explanation:

Note that in the slope intercept form, the equation looks like: y = mx + b

Isolate the y. First, subtract 3x from both sides

3x (-3x) - 9y = (-3x) + 4

-9y = -3x + 4

Next, to fully isolate the y, divide - 9 from both siedes

(-9y)/(-9) = (-3x + 4)/(-9)

y = (-3x + 4)/-9

Simplify

y = (1/3)x - 4/9

You're slope of the line (m in y = mx + b) is 1/3

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What is the y-value of the point of intersection of y=2sinx-cosx and y=cosx over the interval 0≤x≤pi/2 ? a. 0 b. (square root of

horsena [70]

We have that

<span>y=2sinx-cosx
y=cosx
</span>over the interval 0≤x≤pi/2-------> 0≤x≤1.57

using a graph tool
see the attached figure

the solution in the given interval is the point (pi/4, 0.707)
the y-value of the point of intersection is 0.707 -----> √2/2

the answer is the option
<span>b. (square root of 2)/2</span>