Answer:
1) gradient (00) (-2 4) = y2-y1 / 2-1 = 4/-2 = -2 m = -2/1 means = m = -2 (negative slope) 2) gradient y2-y1 / x2-x1 = 3-0 / 2-0 = 3/2 = (1 1/2)/1 m = 1 1/2 (positive slope) we use the formula y-values divided by the change in the x-values. The equation of the gradient each goes like this 1) y = -2x as y is at origin nothing else to add The equation of the gradient each goes like this 2) y = 1 1/2x The equation of the point formula 1) we take the y -y1 = m (x +x 1) = y-0 = -2x (x +0) (as m = -2) y = -2(x +0) and The equation of the point formula 2) y - 0 = m ( x +x1) y - 0 = 1 1/2( x +0) = y = 1 1/2( x +0)
Answer:
x = 5
Step-by-step explanation:
For better explanation of the solution, see the attached diagram of the problem :
The triangle angle bisector theorem states that the line which bisects an angle of a triangle divides the opposite two sides of the triangle in two equal segment which are proportional to the other two sides of the triangle.
Now, from the diagram : AD is the angle bisector angle B
On Cross multiplication :
⇒ 9 × 3x = 15 × (2x - 1)
Using the distributive property,
⇒ 27x = 15×2x - 15×1
⇒ 27x = 30x - 15
Subtract 30x from each side:
⇒ 27x - 30x = 30x - 15 - 30x
⇒ -3x = -15
⇒ x = 5
Answer:
3.25 cm is the answer to 
of a cm.
Step-by-step explanation:
Given:
of a cm.
Solution:
Type I:
First we will see what is 
i.e And 0.25 is SAME.
Now,
Type II:
Answer:
The answer to your question is the second choice tan Ф = -3/4
Step-by-step explanation:
Data
sin Ф = -3/5
cos Ф > 0
Process
1.- The sin Ф is negative, which means that is in the third or fourth quadrant.
2.- sin Ф = -3/5 and sin Ф = Opposite side/hypotenuse
then, Opposite side = 3 hypotenuse = 5
3.- Calculate the adjacent side using the Pythagorean theorem
c² = a² + b²
b² = c² - a²
b² = 25 - 9
b² = 16
b = 4
4.- If cos Ф is in the third quadrant
cos Ф = -4/5 and cos Ф < 0 This is incorrect
5.- If cos Ф is in the fourth quadrant
cos Ф = 4/5 and cos Ф > 0 This is correct
Then, this angle is in the fourth quadrant
6.- Calculate tan Ф
tan Ф = -3/4
Seconds in a week: 7*24*60*60=604800
604800*25100=15180480000 cubic feet of water released in a week
