Answer:
(-3 , 1)(-2,4) (4,5) (2,0)
Step-by-step explanation:
Rotation around center (x₀ , y₀), counterclockwise rotation θ degree
x₂ = (x₁-x₀)cosθ - (y₁-y₀)sinθ + x₀
y₂ = (x₁-x₀)sinθ + (y₁-y₀)cosθ + y₀
A(-2.4) -> counterclockwise rotation 90°
F(x,y): x = (-2+1)cos90° - (4-2)sin90° + (-1) = -3
y = (-2+1)sin90° + (4-2)cos90° + 2 = 1
F (-3 , 1)
Use the above formula to calculate other 3 points: (-2,4) (4,5) (2,0)
The graph represents p(x) = |x|
To graph r(x) and q(x), pick any values of x to graph (I'd pick the numbers on the x- scales, -6, -4, -2, 0, 2, 4, and 6)
As for explaining them, I'm sure something like "multiply the absolute value of x by -1/2" for describing q(x) is an acceptable answer.
This problem is accompanied by a figure.
You can infere these relationships from the figure
(x-5)° = 74° => x = 74 + 5 = 79°
(x-5)° + 58° + (y-1)° = 180 ° => 74 + 58 + y-1 = 180 =>
y = 180 + 1 - 58 - 74 = 47°
Answer: x = 79°, y = 47°. This is the option d)
Answer:
<em>Step-by-step explanation</em>
<em>thinked number = x</em>
<em>add 3 = +3 </em>
<em>multiply</em><em> </em><em>the</em><em> </em><em>result</em><em> </em><em>by</em><em> </em><em>7</em>
<em>
</em>
<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em>
<em>brainliest</em><em> </em><em>appreciated</em>
<em>good</em><em> </em><em>luck</em><em>!</em><em> </em><em>have</em><em> </em><em>a</em><em> </em><em>nice</em><em> </em><em>day</em><em>!</em>
If the original side length is "s" and the original slant height is "h", the original surface area is
.. S = (base area) +(lateral area)
.. S = s² +(1/2)*(4s)*h
.. S = s(s +2h)
Now, if we make these replacements: s ⇒ 3s, h ⇒ h/5, we have
.. S' = (3s)(3s +2h/5)
.. S' = 9s² +(6/5)s*h . . . . . . . the formula for the modified area (in terms of original dimensions)
_____
Of course, in terms of the modified dimensions, the formula is the same:
.. S' = s'(s' +2h')
