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Sloan [31]
3 years ago
11

A line passes through the point (-1, -9) and has a slope of -7.

Mathematics
1 answer:
tia_tia [17]3 years ago
7 0

Answer:

y = -7x - 16

Step-by-step explanation:

The formula for the equation of a line is y=mx+b, where m is the slope and b is the y-intercept. Since we already know the slope, all that is left is the value of b, which can be found by substituting the values of the point (-1, -9) into the equation and solving:

-9=-7(-1)+b

-9=7+b

b=-9-7=-16

With this, we get the value -16, making the equation y = -7x - 16

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Answer:

The missing exponent is 5

Step-by-step explanation:

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3 years ago
Write one sine and one cosine equation for each graph below.
pychu [463]

Answer:

Q13. y = sin(2x – π/2); y = - 2cos2x  

Q14. y = 2sin2x -1; y = -2cos(2x – π/2) -1

Step-by-step explanation:

Question 13

(A) Sine function

y = a sin[b(x - h)] + k

y = a sin(bx - bh) + k; bh = phase shift

(1) Amp = 1; a = 1

(2) The graph is symmetrical about the x-axis. k = 0.

(3) Per = π. b = 2

(4) Phase shift = π/2.  

2h =π/2

h = π/4

The equation is

y = sin[2(x – π/4)} or

y = sin(2x – π/2)

B. Cosine function

y = a cos[b(x - h)] + k

y = a cos(bx - bh) + k; bh = phase shift

(1) Amp = 1; a = 1

(2) The graph is symmetrical about the x-axis. k = 0.

(3) Per = π. b = 2

(4) Reflected across x-axis, y ⟶ -y

The equation is y = - 2cos2x  

Question 14

(A) Sine function

(1) Amp = 2; a = 2

(2) Shifted down 1; k = -1

(3) Per = π; b = 2

(4) Phase shift = 0; h = 0

The equation is y = 2sin2x -1

(B) Cosine function

a = 2, b = -1; b = 2

Phase shift = π/2; h = π/4

The equation is

y = -2cos[2(x – π/4)] – 1 or

y = -2cos(2x – π/2) - 1

6 0
3 years ago
Perform the indicated operations and simplify the expression 4x-1/x+4 - x +1/x-5
Romashka [77]

Step-by-step explanation:

4x-1

x+-×+1=5

×-5

there are no terms like that

7 0
2 years ago
Which of the following would be a solution to the system of inequalities below?
shutvik [7]
I think it should be C
7 0
3 years ago
- 3x + y = 6<br> what is the slope-intercept
tatiyna

Answer:

Slope: 3 Y-intercept: 6

Step-by-step explanation:

You want to put this equation into y=mx+b form so it's easier to tell.

Add 3x on both sides.

y = 3x + 6

The slope is always the coefficient (number) in front of the x in the y = mx + b form. 6 is the y-intercept (reason: the y-intercept is when x=0, and when you substitute 0 for x in this, you get y=6).

5 0
3 years ago
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