Answer:
Step-by-step explanation:
a1 = - 2
an = a1 * r^(n - 1)
a6 = -486
-486 = - 2 * r^(6-1) Divide by 2
243 = r^5
The largest value that r could be is 3.
4^5 = 1024
(243)^(1/5) = 3
So the general formula
an = -2*(3)^(n - 1)
Answer:6x+36, 5x+5, 10x-9
Step-by-step explanation:
Dilation by a scale factor of 1/2 followed by a translation of 1.5 units down.
<h3>What is dilation?</h3>
Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.
Here, △ HIJ are:
IH = 3
IJ = 4
then using the scale factor = 1/2 we get
Therefore, we have:
I'H '= 1.5
I'J '= 2
Hence, dilation by a scale factor of 1/2 followed by a translation of 1.5 units down.
Learn more about this concept here:
brainly.com/question/1011146
#SPJ1
Answer:
Parallel: y=-4x-1
Perpendicular: y=-4x+13/2
Step-by-step explanation:
For the equation y=-4x-41, the slope is -4. Writing a line related to this equation has two options:
- If the line will be parallel to it then this is the slope of the new line as well. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-7)=-4(x--2)
y-7=-4x-8
y=-4x-1
- If the line will be perpendicular to it then the slope is the negative reciprocal of the previous slope. It is 1/4.
(y-7)=1/4(x--2)
y-7=1/4x-1/2
y=-4x+13/2
Answer:
Step-by-step explanation:
sin 45 = opposite / hypotenuse
<u>Where opposite = x , hypotenuse = 4</u>
sin 45 = x / 4
![\sf \frac{\sqrt{2} }{2 } = \frac{x}{4} \\\\x = \frac{4\sqrt{2} }{2} \\\\x = 2\sqrt{2} \\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Csf%20%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B2%20%7D%20%3D%20%5Cfrac%7Bx%7D%7B4%7D%20%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B4%5Csqrt%7B2%7D%20%7D%7B2%7D%20%5C%5C%5C%5Cx%20%3D%202%5Csqrt%7B2%7D%20%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
