Answer:
≈0.68
Step-by-step explanation:
with what u have u can get
so it will be equal /9 =43°13'49.75"
now u can get the sine
sin 43°13'49.75" ≈ 0.68
Answer:
Step-by-step explanation:
The equation of a linear function can be written in the form y = mx + b, where m represents the slope and b represents the y-intercept.
To find the equation of a linear function that contains the points (-6,-8) and (12,4), we first need to find the slope.
The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Let's substitute the values from the given points into the formula:
m = (4 - (-8)) / (12 - (-6))
m = (4 + 8) / (12 + 6)
m = 12 / 18
m = 2/3
Now that we have the slope, we can use one of the given points and the slope to find the y-intercept (b).
Using the point (-6, -8), we substitute the values into the equation y = mx + b and solve for b:
-8 = (2/3)(-6) + b
-8 = -12/3 + b
-8 = -4 + b
b = -8 + 4
b = -4
Therefore, the equation of the linear function that contains the points (-6,-8) and (12,4) is y = (2/3)x - 4.
The equation of the linear function that contains the points (-6,-8) and (12,4) is y = (2/3)x - 4.
The linear function equation that contains the points (-6,-8) and (12,4) can be determined by using the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. First, calculate the slope using the formula m = (y2 - y1) / (x2 - x1). Plugging in the values from the given points, we have m = (4 - (-8)) / (12 - (-6)) = 12/18 = 2/3. Next, choose one of the points to substitute into the equation to find the value of b. Using the point (-6,-8), we have -8 = (2/3)(-6) + b. Solving for b, we get b = -8 + 4 = -4. Therefore, the equation of the line is y = (2/3)x - 4.
#SPJ2
y = 45x + 20
Car B
y = 35x + 60
After how many hours will the two cars be at the same distance from their starting point and what will that distance be?
3 hours, 200 miles
3 hours, 180 miles
4 hours, 200 miles
4 hours, 180 miles
Answer:
4 hours, 200 miles
Step-by-step explanation:
2) x²+10x+21=0
3) x²+8x+15=0
4) x²+9x+14=0
5) x²-2x35=0
Answer:
Step-by-step explanation:
To solve these quadratic equations by factoring, you need to find two numbers that multiply to the constant term (the number without x^2) and add up to the coefficient of the linear term (the number with x). Here are the solutions for each of the equations:
1. x² + 5x + 6 = 0
We need two numbers that multiply to 6 and add up to 5. The numbers are 2 and 3.
So, we can factor the equation as (x + 2)(x + 3) = 0.
Now, set each factor equal to zero and solve for x:
x + 2 = 0 => x = -2
x + 3 = 0 => x = -3
So, the solutions are x = -2 and x = -3.
2. x² + 10x + 21 = 0
We need two numbers that multiply to 21 and add up to 10. The numbers are 7 and 3.
So, we can factor the equation as (x + 7)(x + 3) = 0.
Now, set each factor equal to zero and solve for x:
x + 7 = 0 => x = -7
x + 3 = 0 => x = -3
So, the solutions are x = -7 and x = -3.
3. x² + 8x + 15 = 0
We need two numbers that multiply to 15 and add up to 8. The numbers are 5 and 3.
So, we can factor the equation as (x + 5)(x + 3) = 0.
Now, set each factor equal to zero and solve for x:
x + 5 = 0 => x = -5
x + 3 = 0 => x = -3
So, the solutions are x = -5 and x = -3.
4. x² + 9x + 14 = 0
We need two numbers that multiply to 14 and add up to 9. The numbers are 7 and 2.
So, we can factor the equation as (x + 7)(x + 2) = 0.
Now, set each factor equal to zero and solve for x:
x + 7 = 0 => x = -7
x + 2 = 0 => x = -2
So, the solutions are x = -7 and x = -2.
5. x² - 2x - 35 = 0
To factor this equation, we need two numbers that multiply to -35 and add up to -2. The numbers are -7 and 5.
So, we can factor the equation as (x - 7)(x + 5) = 0.
Now, set each factor equal to zero and solve for x:
x - 7 = 0 => x = 7
x + 5 = 0 => x = -5
So, the solutions are x = 7 and x = -5.
Answer:
Rational
Step-by-step explanation:
All fractions are rational.