Answer:
2. 3/4 x 5/9 = 3x5/4x9 = 15/36 = 5/12
4. 4/7 x 1/2 = 4x1/7x2 = 4/14 = 2/7
6. 4/9 x 2/3 = 4x2/9x3=8/27
Step-by-step explanation:
Hope it helps!
Answer:
Make sure you convert these numbers into one unit. Convert everything to yard. Just convert the feet and inches in yard since it's the biggest unit, and then add them together. You should get a fraction not a whole number.
Our parent function is f(x)=x^2. A vertical stretch by a factor of k means that every point (x,f(x)), has been transformed into (x,kf(x)). Alex is clearly incorrect as our parent function has been transformed to (x,9f(x)), not (x,3f(x)). A horizontal stretch(or compression) by a factor of k means our function has been transformed to (x/k,f(x)). Here, Marta is saying our function should look like (3x,f(x)). This can also be achieved by plugging 3x into the parent function, which would give us f(3x)=(3x)^2, so it seems that Marta is the correct one.
Answer:
Correct option: (3) 45
Step-by-step explanation:
Let's call the length of the tangent 'T', the length of the external segment 'E' and the length of the internal segment 'A'.
If we have a secant and a tangent to a circle, we can use the following property:
T^2 = E * (A + E)
If the tangent is 14 inches and the external segment is 4 inches, we have that:
14^2 = 4 * (A + 4)
196 = 4A + 16
4A = 180
A = 45
Correct option: (3)
