Jamal and Steve finished the same amount of homework because 5/6 is the same as 10/12
Answer:
18
Step-by-step explanation:
if AB : BC : AC is 3 : 4 : 2 and BC = 8 then AB = 6 and AC = 4
To calculate the perimeter of the triangle we add all side lengths up
4 + 6 + 8 = 18
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.
Galaxy B has more stars. When expanded, Galaxy A has 50,000,000 stars, while Galaxy B has 20,000,000,000 stars. Galaxy A has 2.5*10⁻³ times as many stars as Galaxy B. Galaxy B has 4*10² times as many stars as Galaxy A.
N/4 < -1 — we can multiply both sides with 4, so we dont have to deal with fractions.
N < -4
So, our N goes left from -4 on a number line.
-10x<-100 — divide both sides by 10
-x < -10
x > 10
X is from 10 rightwards.
5x>20 — divide both sides by 5
x > 4
X is rightwards from 4.
