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evablogger [386]
4 years ago
13

A line that includes the point (-3,-4) and (-4,f ) has a slope of 6. What is the value of f?

Mathematics
1 answer:
Eduardwww [97]4 years ago
8 0

Answer:

f = -10

( -3, -4) ( - 4 , -10)

Step-by-step explanation:

Formula for slope

m =( y_2 - y_1)/(x _2 - x _1)

m = 6

6 = (y_2 - y_1) / (x _2 - x_1)

Substitute the points

( -3 , -4) ( -4 , f)

x_1 = -3

y_1 = -4

x_2 = -4

y_2 = f

Insert the values into

6 = (y_2 - y_1) / (x_2 - x_1)

6 = (f - (-4))/ ( -4 - (-3)

6 = ( f + 4)/ ( -4 + 3)

Cross multiply

6 ( -4 + 3) = f + 4

6 ( -1) = f + 4

-6 = f + 4

-6 - 4 = f

f = -6 - 4

f = -10

( -3 , -4) ( -3 , f)

The value of f is -10

( -3 , -4) ( -3 , -10)

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Answer:

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Step-by-step explanation:

2x - 3y = 8\\

Isolate y

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Divide both sides of the equation by -3

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3 years ago
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Lisa [10]

Answer:

Yes, they are equal in the values (in radians):

π/4, 5π/4

If cos(x) and sin(x) are defined to you as nonnegative functions (in terms of lengths), then 3π/4 and 7π/4 are also included

Step-by-step explanation:

Remember that odd multiples of 45° are special angles, with the same sine and cosine values (you can prove this, for example, by considering a right triangle with an angle of 45° and hypotenuse with length 1, and finding the trigonometric ratios).

The radian measure of 45° corresponds to π/4, hence the odd multiples on the interval [0, 2π) are π/4, 3π/4, 5π/4, 7π/4.

If you define sin(x) and cos(x) using the cartesian coordinate system (via unit circle), then cos(3π/4)=-sin(3π/4) and cos(7π/4)=-sin(7π/4). In this case, only π/4 and 5π/4 are valid choices.  

6 0
3 years ago
What numbers add up to -5 and multiply to get -90
Molodets [167]
Let
x-------> the first number
y-------> the second number

we know that

x+y=-5 \\ x=-5-y equation 1

x*y=-90 equation 2

substitute the equation 1 in equation 2

[-5-y]*y=-90 \\ -5y- y^{2} =-90 \\ y^{2} +5y-90=0

using a graphical tool to resolve the second order equation
see the attached figure
the numbers are
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3 0
3 years ago
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I need help 20 pts thx look at the image
Ad libitum [116K]

Answer:

Factors are numbers you can multiply to get each number. For example, for 30 you would have factors of 1, 2, 3, 5, 6, 10, 15, and 30.  I got that because 1 x 30 = 30, 2 x 15=30, 3 x 10 = 30, and 5 x 6= 30.  If the factors are just 1 and that number it is prime.  If there are other factors, it is composite.  30 would be composite.

Step-by-step explanation:

4 0
3 years ago
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n200080 [17]

Answer:

Θ = 157.7°

Step-by-step explanation:

Given

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Since 0° ≤ Θ ≤ 180° then Θ is in the second quadrant. thus

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8 0
4 years ago
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