Answer:

Step-by-step explanation:
we know that
The area of the right triangle ABC is equal to

the formula to calculate the distance between two points is equal to

we have
A(10, 7), B(5, 9), and C(3, 4)
step 1
Find the distance AB
A(10, 7), B(5, 9)
substitute in the formula



step 2
Find the distance BC
B(5, 9),C(3, 4)
substitute in the formula



step 3
Find the area
substitute the values


Answer:
2
Step-by-step explanation:
We are to determine the value of KM which is adjacent to angle 35. we also have the value for the hypotenuse. Thus we would use COS
Cos 35 = adjacent /hypotenuse
0.8192 = adjacent / 123
adjacent = 0.8192 x 123 = 100.7557 cm
100.8 cm
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
1.5r+15=2.25r
Combine like terms: 1.5r+15-1.5r=2.25r-1.5r
15=0.75r
Get the unknown alone: 15/.75=.75/.75r
20=r or r=20 :)
Answer:
f [ x ] = [ x - 3] [ x + 8 ] = x^2 + 5x - 24
Step-by-step explanation:
f (x)=[ x - 3] [ x + 8 ]
x [ x + 8 ] -3[ x + 8 ]
x^2 + 8x - 3x - 24
x^2 + 5x - 24
1. Translation of a units to the right and b units up has rule:
(x,y)→(x+a,y+b).
Then the function is

2. Reflection across the y-axis acts in following way:
(x,y)→(-x,y).
Then the function is

3. Reflection across the x-axis acts in following way:
(x,y)→(x,-y).
Then the function is

4. Rotation of 90 degrees counterclockwise about the origin, point O acts bu the rule:
(x,y)→(-y,x).
Then the function is

5. Rotation of 180 degrees counterclockwise about the origin, point O acts bu the rule:
(x,y)→(-x,-y).
Then the function is

6. Rotation of 270 degrees counterclockwise about the origin, point O acts bu the rule:
(x,y)→(y,-x).
Then the function is
