9514 1404 393
Answer:
(-3, 3)
Step-by-step explanation:
The blanks are trying to lead you through the process of finding the point of interest.
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The horizontal distance from T to S is <u> 9 </u>. (or -9, if you prefer)
The ratio you're trying to divide the line into is the ratio that goes in this blank:
Multiply the horizontal distance by <u> 2/3 </u>. (9×2/3 = 6)
Move <u> 6 </u> units <u> left </u> from point T.
The vertical distance from T to S is <u> 6 </u>.
Multiply the vertical distance by <u> 2/3 </u>. (6×2/3 = 4)
Move <u> 4 </u> units <u> up </u> from point T.
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Point T is (3, -1) so 6 left and 4 up is (3, -1) +(-6, 4) = (3-6, -1+4) = (-3, 3). The point that is 2/3 of the way from T to S is (-3, 3).
Answer:
TRIANGLE
Step-by-step explanation:
ISOCELES
First, we know that when multiplying fractions, we multiply both the numerator and denominator.
so, in 4/9 • 4/5,
4•4 = 16, and
9•5 = 45
so, 4/9 • 4/5 = 16/45.
now, we’ll look for the Least Common Factor
factors are numbers that you can multiply together to = another number.
the LEAST common Factor is the # that is smallest that you can divide both numbers by, in an equation and get a whole number.
for instance, 3•3 and 1•9 are the only ways to get 9, so, the factors are 1, 3, 9
let’s look for the LCF in 16 and 45. -
if we find the ways to get 16, we have:
1•16, 2•8, and 4•4
so, the factors are 1, 2, 4, 8, and 16.
this is called FACTORING :)
the ways to get 45 are...
1•45, 3•15, and 5•9, so the FACTORS are
1, 3, 5, 9, 15, & 45.
- compare the factors of 16 & 45,
none of them are the same besides 1, and we know that dividing these numbers by 1 will not do anything.
because of this, we can not reduce 16/45, so the reduced answer to 4/9 • 4/5 = 16/45
Step-by-step explanation:
We start with Left hand side
We know that csc(x) = 1/ sin(x)
So csc(2x) is replaced by 1/sin(2x)
Also we use identity
sin(2x) = 2 sin(x) cos(x)
4 divide by 2 is 2
Now we multiply top and bottom by sin(x) because we need tan(x) in our answer
We know that sinx/ cosx = tan(x)
Also 1/ sin(x)= csc(x)
so it becomes 2csc^2(x) tan(x) , Right hand side
Hence verified
