<span>First of all to calculate the distance between two points we can use distance formula
d=Square Root [(x2-x1)^2 + (y2-y1)^2]
Now substitute the given points p(x1,y1) and q(x2,y2)in above distance formula
The values are X2=3, X1=8and Y2=8and Y1=2.
After Substituting the values
d=Square Root[(-5)^2+(6)^2]
d=Square Root(25+36]
d=Square Root[61]
d=7.8
7.8 is the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.</span>
Answer:
29
Step-by-step explanation:
Solution: For finding QR we need to apply Pythagoras Theorem
What is Pythagoras Theorem ?
ans : Pythagoras Theorem is the sum of square of two sides which is equal to the third side or the hypotenuse. This formula is valid oy incase of Right-Angled Traingle because one of three angles here is 90°
According to this law let's apply it in the diagram shown here.
- (Hypotenuse)² = (Adjacent)² + (Opposite)²
- (5x - 2)² = (QR)² + (3x - 1)²
- (QR)² = (5x - 2)² - (3x - 1)²
After factorising both of them we get
- (QR)² = 25x² - 20x + 4 - (9x² - 6x + 1)
- (QR)² = 25x² - 20x + 4 - 9x² + 6x - 1
So, QR is √(16x² - 14x + 3)
Answer:
Volume of a cube = side * side * side
length of 1 side = cube root of 64 = 4 cm
Therefore, each picture is 4 cm by 4 cm
Step-by-step explanation:
