Answer:
0.25 = 2^-2
The "^" means that -2 is an exponent on top of 2.
Lines are perpendicular if the slope of one is the negative reciprocal of the other. In this case the slopes are -8/3 and 8/3, so while negative they are not reciprocal. So no, the two lines intersect but are not perpendicular.
Answer:
12, 15, 24
Step-by-step explanation:
Let 1st # = x
Let 2nd # = x+3
Let 3rd # = 2x
Your equation is: x + (x+3) + 2x = 51
Add up all the x: x + x +3 +2x =51
Subtract 3 from both sides: 4x + 3 - 3 = 51 - 3
Divide 4 from both sides: 4x / 4 = 48 / 4
Your 1st number is x = 12
For the 2nd # it is 3 more than x so 12 + 3 = 15
For the 3rd # it is 2 times x so 2(12) = 24
Check your answers by adding up the numbers you solved: 12 + 15 +24 = 51
Does it equal to 51 as stated in the question? Yes, answers check out.
Answer: 1
Step-by-step explanation:
6+4×5-5²
=6+20-25
=1
The base is from 2 to 7, which is 5 units long.
The height is from 1 to 8, which is 7 units tall.
Using the Pythagorean theorem we can calculate the hypotenuse:
Hypotenuse = √5^2 +7^2=
√25 +49=
√74=
8.6
Perimeter = 5 + 7 + 8.6 = 20.6
The answer is C.