Answer:
a) 5units
b) (4.5, 4)
Step-by-step explanation:
Let the coordinate of P and Q be P(3, 2) and Q(6, 6)
PQ can be gotten using the distance formula;
PQ =√(6-2)²+(6-3)²
PQ = √4²+3²
PQ =√16+9
PQ =√25
PQ = 5units
Midpoint M is expressed as;
M(X, Y) = {(x1+x2)/2, y1+y2/2}
X = x1+x2/2
X = 3+6/2
X= 9/2
X = 4.5
Similarly;
Y = y1+y2/2
Y = 2+6/2
Y = 8/2
Y = 4
Hence the midpoint of PQ is (4.5, 4)
Answer:
No. Remember, a right angle must have a 90 degree angle. We can find the lengths with the Pythagorean Theorem.
Step-by-step explanation:
Given the length 7, 10, and 12, we can assume that 12 is the hypotenuse (it is the longest length).
- we can use 7 and 10 interchangeably.
Fill in the equation, 
where c = 12, and a or b = 7 or 10.
To indicate if the given lengths would form a right angle, we can only input 7 or 10, not both.
Therefore, 
or 
==> 49 + b^2 = 144 ==> <u>b= </u>
<u> ==> </u><u>9.746</u>
b= 9.7, not 10.
==> 100 + b^2 = 144 ==> <u>b = </u>
<u> ==> </u><u>6.633 </u>
b= 6.6, not 7.
Therefore, the lengths 7, 10, and 12, does NOT make a right triangle.
Hope this helps!
Answer:
CHRISTMAS TREES
Step-by-step explanation:
for each number in the matrix, start by subtracting 1, then divide the number you got by 2
Answer:
Step-by-step explanation:
Triangle 1,
Sum of the squares of the shorter lengths = 13² + 17²
= 169 + 289
= 458
Square of the longest length = 19² = 361
Since, sum of longest side is less than sum of squares of the smaller sides,
13²+ 17² > 19²
Therefore, it's acute triangle.
Triangle 2,
Sum of squares of the shorter lengths = 10² + 24²
= 576
Square of the largest length = 26² = 576
Since, sum of squares of the shorter lengths = square of the largest length
Therefore, it's a right triangle.
Answer:
D
Step-by-step explanation:
It would be a cone with a radius of 4 units rotating around y-axis.
