18 cm is correct .
Step-by-step explanation:
The sum of two smaller sides is greater that the largest side.
It is given that the two sides of a triangle measure 8 cm and 15 cm.
Case 1: Let 8 cm and 15 cm. are smaller side. So,
<em>Third side < 8 + 15</em>
<em>Third side < 23</em>
<em>It means 3rd side must be less than 23</em>
<em>Case 2: Let 15 cm is the largest side.</em>
<em>15 < Third side + 8</em>
15 - 8 < Third side
7 < Third side
It means 3rd side must be greater than 7.
Since only 18 is less than 23 and greater than 7, therefore the possible length of third sides is 18 cm and option 2 is correct.
Answer:
C and D
Step-by-step explanation:
We can see that the base of the bigger triangle is 6. Based on the straight sides adjacent to the hypotenuse, the bigger one's height is 6 and the smaller one's is 3. This means that the smaller one is half the size of the bigger one. This means that if the bigger base is 6, the smaller one is 3. Since it is 3, we move 3 spaces left from point Z to get point Y. If you moved 3 spaces left, it would be (-5,2). You can also move 3 spaces right and then your Y point would be at (1,2) so C and D are the 2 possible answers.
Answer:
30
Step-by-step explanation:
25 times 1.2= 30
Answer:
-48 and -49
Step-by-step explanation:
n + n + 1 = -97
2n + 1 = -97
2n + 1 - 1 = -97 - 1
2n = -98
2n/2 = -98/2
n = -49
-49 + 1 = -48
-49, -48
Answer:
The factors are (5x + 3) and (2x + 1)
Step-by-step explanation:
When you need to factor a quadratic, and the coefficient of the x² is not 1, use the slide and divide method.
The general form of a quadratic is ax² + bx + c
Factor: 10x² + 11x + 3
Here a = 10, b = 11, and c = 3
Step 1: Multiply ac, we SLIDE a over to c. Notice the 10 is gone for now..
x² + 11x + 30
Step 2: Factor this (this step will always factor)
x² + 11x + 30 = (x + 5)(x + 6)
So the factors are (x + 5)(x + 6), but we now need to DIVIDE by a, since we multiplied it into c before. We divide the constants in the factors...
(x + 5/10 )(x + 6/10 )
Now reduce the fractions as much as possible...
(x + 1/2 )(x + 3/5)
*If they don't reduce to a whole number, SLIDE the denominator over as a coefficient of x....
(2x + 1)(5x + 3) *2 slide over in front of x, 5 slide over in front of x, the fractions are gone!
These are our factors!