Is c^2 - 6c +9 a perfect square?

Mathematics

2 answers:

katrin [286]3 years ago

6 0

Answer:(c-3)(c-3) yes

Step-by-step explanation:

C²-6c-9

(c²-3c-)(3c+9)

c(c-3)-3(c-3)

(c-3)(c-3)

Anni [7]3 years ago

3 0

Step-by-step explanation:

${c}^{2} - 6c + 9 \\ = {c}^{2} - 2 \times 3 \times c + {3}^{2} \\ = (c - 3)^{2} \\$

Therefore, $c^2 - 6c +9$ is a perfect square.

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Can someone help me please

lianna [129]

Answer:

y=-3/5x+4

Step-by-step explanation:

Pick any two points the line goes through.

I picked

(0,4) and (5,1)

There are a few ways to do this but ultimately, it’s the same concept. I will use slope-intercept form which for me was always easier.

y=mx+b where m is the slope and b is the y-intercept. The y-intercept is the point where the line crosses the y-axis which in this case is point (0,4) so the b=4.

To find the slope, use rise/run between the two points you chose. Point (5,1) is 3 units UNDER point (0,4) so now we have -3/run because -3 is the “rise”. After you count down 3 units always go right. After going right 5 units, you touch point (5,1). So the “run” is 5. Which means that the slope is -3/5.

m=-3/5 and b=4

So the equation is:

y=-3/5x+4

Hope this helps!!

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2 years ago

Angle G in trapezoid FGHJ measures 135 degrees. Jasmine reflects the trapezoid over the x-axis. What is the measure of the image

butalik [34]

Answer:

Triangle EFG has vertices E(-3, 4), F(-5, -1), and G(1, 1)

Step-by-step explanation:

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