Answer:
Step-by-step explanation:
given
To rationalise the denominator multiply the numerator/ denominator by the conjugate of the denominator.
the conjugate of 3 - is 3 + , hence
×
= (15 + 5 - 6 - 14 ) / (9 - 7)
= ← in simplified radical form
Answer:
Step-by-step explanation:
Draw an auxiliary line in the trapezoid forming a triangle and a rectangle. The dimensions of the rectangle are 3 x 4, so the length of the auxiliary line must be 4.
The auxiliary line also creates a 45-45-90 triangle. The auxiliary line itself makes up one leg of the triangle, and since we know it is 4, we can use the Pythagorean Theorem to find y:
The length of x can be found by adding the bottom leg of the 45-45-90 triangle and the bottom dimension of the rectangle:
Answer:
The correct option is B.
Step-by-step explanation:
The given equation is
..... (1)
Where, y is distance from home for an ant t minutes after starting out from a location near its home.
The slope intercept form of a line is
.... (2)
Where, m is slope and b is y-intercept or initial value.
On comparing (1) and (2), we get
Here, 5 represent the initial distance of ant from its home.
It means the ant is moving at 2 feet per minute and the ant started out 5 feet from its home.
Therefore option B is correct.