Answer:
your answer is 10/3 (fraction)
Step-by-step explanation:
120-40=80
4 x 6=24
80/24=
- first divide both sides by four and get 20/6
- then divide by 2 to get 10/3 (fraction form)
Answer: .
Step-by-step explanation:
It is given that Point A is at (-5, -4) and point B at (-3, 3).
We need to find the coordinates of the point which is 3/4 of the way from A to B.
Let the required point be P.
It means, point P divides segment AB in 3:1.
Section formula: If a point divides a line segment in m:n, then
Using section formula, we get
Therefore, the required point is .
Answer:
The rate of current is 2.5 mph.
Step-by-step explanation:
The speed in the water when current is absent is 9 mph.
If the speed of the current is v mph then the upstream speed is (9 - v) mph and the downstream speed is (9 + v) mph.
Now, it takes 5 hours longer to travel 74 miles upstream than down stream, then we can write the equation as
⇒
⇒ 148v = 405 - 5v²
⇒ 5v² + 148v - 405 = 0
Applying Sridhar Acharya's formula we can write
(Neglecting the negative root)
⇒ mph (Rounded to the nearest 10th) (Answer)
We first write the word in math as x+3/5 = 5/7. Now we cross multiply our fractions and rewrite them with the LCD of 5 and 7. Our equation now looks like x + 21/35 = 25/35. We simplify our equation by subtracting 21/35 from both sides to get x = 4/35. 4/35 is already in lowest terms so it is our answer.
Avani wrote the linear equation y = 5x + 4. Then, she wrote the equation of the line that is perpendicular to y = 5x+ 4 and that passes through (15,–2). If her new equation is in the form , what is the value of b?
- m is the slope
- b is the y-intercept
The equation of a line that is perpendicular to another line always has the opposite reciprocal slope. In the original equation, the slope is 5. The opposite of 5, which refers to the sign, is -5. The reciprocal of -5 is -1/5. That means the slope of the new line is -1/5.
The perpendicular line:
- Has a slope of
- Passes through the point (15, -2)
To find the equation of a line that passes through a specific point, you need to use slope-intercept form.
- y₁ is the y-value of the point
- m is the slope
- x₁ is the x-value of the point
y₁ is -2, m is -1/5, and x₁ is 15.
Substitute the known values into the equation:
Open the parentheses and distribute:
The new equation will be:
Lastly, you need to move the positive 2 to the other side to keep it in y = mx + b form.
The equation of the perpendicular line is:
The value of b is 1.