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Dennis_Churaev [7]
3 years ago
8

Suppose Ø is an angle in standard position with cos Ø>0. In which quadrant(s) could the terminal side of Ø lie? Select all th

at apply.

Mathematics
2 answers:
Bezzdna [24]3 years ago
8 0
I think the answer is
I and IV quadrant
Gnesinka [82]3 years ago
6 0

Answer:

I and IV quadrant

Step-by-step explanation:

we know that

In the I quadrant

the value of cos(\phi) is positive

the value of sin(\phi) is positive

In the II quadrant

the value of cos(\phi) is negative

the value of sin(\phi) is positive

In the III quadrant

the value of cos(\phi) is negative

the value of sin(\phi) is negative

In the IV quadrant

the value of cos(\phi) is positive

the value of sin(\phi) is negative

therefore

the answer is

I and IV quadrant

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What is an equation of the line that passes through the point (-4,-3) and is perpendicular to the line 2x+3y=15
Katen [24]

Answer:

The equation would be y = 3/2x + 3

Step-by-step explanation:

First we have to find the slope of the original line. We can do this by solving for y.

2x + 3y = 15

3y = -2x + 15

y = -2/3x + 5

Now that we have the slope of -2/3, we know the slope of the new line will be 3/2. This is because perpendicular lines have opposite and reciprocal slopes. We can use that and a point in point-slope form to find the equation.

y - y1 = m(x - x1)

y + 3 = 3/2(x + 4)

y + 3 = 3/2x + 6

y = 3/2x + 3

5 0
3 years ago
The graph of a linear relationship has a slope of -5 and passes through the point (2, -12). Write the equation of the line in sl
DerKrebs [107]
<h3>Answer:</h3>

y=-5x-2

<h3>Solution:</h3>
  • We are given the line's slope and a point that it passes through.
  • Using the given information, we can write the equation of the line in Point-Slope Form:
  • y-y_1=m(x-x_1)
  • In this formula, y₁ stands for the y-coordinate of the point, m stands for the slope of the line, and x₁ stands for the x-coordinate of the point.
  • In this case, y₁ is equal to -12, m is equal to -5, and x₁ is equal to 2.
  • Plug in the values:
  • y-(-12)=-5(x-2)
  • y+12=-5(x-2)
  • Now, convert into Slope-Intercept Form, y=mx+b:
  • y+12=-5x+10
  • y=-5x+10-12
  • y=-5x-2

Hope it helps.

Do comment if you have any query.

5 0
3 years ago
Three good friends are in the same algebra class. Their scores on a recent test are three consecutive integers whose sum is 252
vichka [17]

Answer:

83, 84, 85

Step-by-step explanation:

3 0
3 years ago
If y varies directly as x and y=35 when x=7, find y when x=11
sveta [45]
Y=kx
35=7k
35/7=k
k=5

y=5x
y=5×11
y=55
3 0
4 years ago
Please help answer <br> Will give Brainlst
Artyom0805 [142]

Answer:

x= -3

y= -5

Step-by-step explanation:

10y - 3x = -41

+

-5y + 3x = 16

10y + (-5y) = 5y

-3x + 3x = 0

-41 + 16 = -25

5y + 0 = -25

y = -25/5

y= -5

10y -3× = -41

(10×-5) - 3x = -41

- 3x = - 41 + 50

- 3x = 9

x = -3

4 0
3 years ago
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