Answer:
A "ratio" is any comparison of two numerical measurements. Each measurement is called a "term."
A "rate" is a ratio in which the two terms are measured in different units. …
A "unit rate" is a rate in which the second term equals "1." When calculating a unit rate, you need to determine how much of the first term exists for …
Step-by-step explanation:
⇒If parallelogram A B CD is a rectangle, then Diagonals of parallelogram that is of rectangle will be of equal Length.
That is , Diagonal AC = Diagonal B D
⇒Given, AX= 3 y- 5
So, AC= 2 × (3 y- 5)→→[Diagonals of Parallelogram Bisect each other]
And, B D = 5 y
So,A C = B D ⇒→→Diagonals of a rectangle are equal.]
→2 ×(3 y - 5) = 5 y
→ 6 y - 10 = 5 y →→[Using Distributive Property of subtraction with respect to multiplication]
Combining Like terms that is Variables with Variables and Constant with Constant.
→ 6 y - 5 y = 10
→ y = 10
Answer:
Yes, the transformation is a 270° clockwise rotation
Step-by-step explanation:
(-3, 4) ,( -4, 7) and (-2,7) transformed to (-4, - 3), (-7, -4) and (-7, -2).
Rule for 270° clockwise rotation:
(x, y) --> (- y, x)
A transformation that doesn't change the size or shape of an object.
So answer is:
Yes, the transformation is a 270° clockwise rotation
9^1/3 * 3^x = 27^4/5
Rewrite 9 as 3^2
(3^2)^1/3 * 3^x = 27^4/5
Multiply the exponents in the first term:
3^2/3 * 3^x = 27^4/5
Use power rule to combine exponents:
3^(2/3 +x) = 27^4/5
Rewrite the 2nd term:
3^(2/3 +x) = (3^3)^4/5
Set the exponents only to equal:
2/3 + x = 3(4/5)
Solve for x:
simplify the right side:
2/3 + x = 12/5
Subtract 2/3 from both sides:
x = 26/15
Answer:
12:3/4, 3:3/16, 6:3/8
Step-by-step explanation:
12:3/4
by dividing that by 4, 3:3/16
by multiplying that by 2, 6:3/8
