Hey I'm on this question on my test too. I think the answer is:
First Box: "
Reflection across the x-axis"
Last Box: "
Translation 1 unit down"
What the sentence should look like = "<span>
△RST</span><span>
to </span><span>
△<span>
R′</span><span>
S′</span><span>
T′</span></span><span>
is a reflection across the x-axis followed by a translation 1 unit down."
I hope this helps!</span>
Answer:
3 cm²
Step-by-step explanation:
Given that:
5/8 of rectangle = red
Let area of rectangle = x
Each piece = 1/16 of whole rectangle
Area of whole rectangle = 48 cm²
Area of each piece = 1/16 of 48
1/16 * 48cm²
= 48 / 16 cm²
= 3 cm²
Hence area of each piece = 3cm²
The polar form of the equation is -2 cosθ
<u>Explanation:</u>
( x + 1 )² + y² = 1
r² = x² + y²
Use x = r cosθ and y = r sinθ
Substitute these variable in x and y
( r cosθ + 1 )² + ( r sinθ )² = 1²
r² cos²θ + 1 + 2 r cosθ + r² sin²θ = 1
r² ( cos²θ + sin²θ ) + 1 + 2 r cosθ = 1
r² + 1 + 2 r cosθ = 1
r² + 2 r cosθ = 0
r² = -2 r cosθ
r = -2 cosθ
Therefore, the polar form of the equation is -2 cosθ
The answer would be the last one “The graph shifts 7 units to the left and 8 units up”
Answer:
{4+2√7, 6, 8-2√7}
Step-by-step explanation:
The middle term of three of an arithmetic sequence is the average of the three numbers—their sum divided by 3. So, this arithmetic sequence has a middle term of 6.
If the common difference is x, then the numbers are ...
{6 -x, 6, 6+x}
When the first is increased by 4, to 10-x, then the ratios of adjacent terms are the same:
6/(10-x) = (6+x)/6
36 = 60 +4x -x^2 . . . . . . multiplying by 6(10-x)
x^2 -4x = 24 . . . . . in a form suitable for completing the square
(x -2)^2 = 28 . . . . . . after adding 4
x = 2-2√7 . . . . . the solution that makes the sequence be positive numbers
The arithmetic sequence is then ...
{4 +2√7, 6, 8 -2√7} ≈ {9.2915, 6, 2.7085}