Answer:
C
Step-by-step explanation:
Divide 62 by 4
Answer:
y=-\frac{5}{3} x+\frac{10}{3} or what is the same: 
Step-by-step explanation:
First we find the slope of the line that goes through the points (-4,10) and (-1,5) using the slope formula: 
Now we use this slope in the general form of the slope- y_intercept of a line:

We can determine the parameter "b" by requesting the condition that the line has to go through the given points, and we can use one of them to solve for "b" (for example requesting that the point (-1,5) is on the line:

Therefore, the equation of the line in slope y_intercept form is:

Notice that this equation can also be written in an equivalent form by multiplying both sides of the equal sign by "3", which allows us to write it without denominators:

By definition, if two lines share the same gradient, they are said to be parallel. So, we know for this equation, it must have a gradient of 1/2.
Now, since the point (-6, 4) passes through the line, we know it must satisfy the equation. Since we have a gradient/slope and a point, we can use the point-gradient form:

, where

represents the points being passed through.



Answer:
Step-by-step explanation:
Comment
The basic equation of a circle is
(x - a)^2 + (y - b)^2 = r^2
a and b are the coordinates of the center of the circle
r is the radius.
Development of the equation
r = 1 - 1/2 = 1/2. r is the distance between the red dot and the blue dot.
So far what you have is (x - a)^2 + (y - b)^2 = (1/2)^2
The center is the red dot.
x = 1
y = - 1
Answer: (x - 1)^2 + (y + 1/2)^2 = 1/4
Answer:
Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.
Step-by-step explanation:
Pythagorean Theorem: According to this theorem the result obtained by squaring the value of the hypotenuse of a right angled triangle is equal to the sum of the squares of the values other two sides of the triangle.
Hypotenuse = h
Altitude = l
Base = b
l²+b²=h²
Here 6²=36
9²=81
12²=144
15²=225
From the above it is clear that
81+144=225
⇒9²+12²=15²
Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.