Answer: 64
Step-by-step explanation:
Answer:
(-1,-9)
Step-by-step explanation:
(5,-2)
-5 -4 -3 -2 <em><u>-1</u></em> 0 1 2 3 4 <u>5</u>
starting at 5, move 6 units to the left, your new x-coordinate is -1
<u>-2</u>
-3
-4
-5
-6
-7
-8
<em><u>-9</u></em>
starting at -2, move 7 units down, your new y-coordinate is -9
The new point after the translation will be (-1,-9)
Answer:
ummm idk xD
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(x) = x^2 + 3x - x/2
f(x) = x^2 + 2.5x
- 3x - 1/2x =
- 6x/2 - 1/2x =
- 5x/2 =
- 2.5x
f(6) = 6^2 + 2.5*6
f(6) = 36 + 15
f(6) = 51
Answer:
Option (C)
Step-by-step explanation:
Given sides of a triangle are 2,
and
.
Option (A).
If the triangle is a right triangle.
By Pythagoras theorem,
(Longest side)² = (Leg 1)² + (Leg 2)²

19 = 4 + 12
19 = 16
Not true.
Therefore, its not a right triangle.
Option (B).
If it is a triangle following conditions will be followed.
1). a + b > c
2). b + c > a
3). a + c > b
For the given sides of the triangle,
1). 2 + √12 > √19 [True]
2). 2 + √19 > √12 [True]
3). √12 + √19 > 2 [True]
Therefore, the given measures of the sides will form a triangle.
Option (C)
By Pythagorean inequality theorem,
If c² = a² + b² → Right triangle
If c² > a² + b² → Obtuse triangle
If c² < a² + b² → Acute triangle
Since, (√19)² > 2² + (√12)² → 19 > 4 + 12
Therefore, the given triangle is an Obtuse triangle.
Option (D).
Not true. It's an obtuse triangle.