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Elanso [62]
3 years ago
8

What is the fully factored form of the expression 45x²y2 + 18x3

Mathematics
1 answer:
Llana [10]3 years ago
4 0

Answer:

9x^2(5y^2 + 2x).

Step-by-step explanation:

First find the Greatest Common Factor of the 2 terms.

GCF of 18 and 45 = 9

GCF of x^2 and x^3 = x^2.

The complete GCF is therefore 9x^2.

So, dividing each term by the GCF, we obtain:

9x^2(5y^2 + 2x).

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Find an equation of the line passing through the pair of points. Write the equation in slope-intercept form. (2,8), and (8,2)
leonid [27]

Answer:

y=-x+10

Step-by-step explanation:

Hi there!

Slope intercept form: y=mx+b where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

<u>1) Find the slope (m)</u>

m=\frac{y_2-y_1}{x_2-x_1} where the two given points are (x_1,y_1) and (x_2,y_2)

Plug in the given points (2,8),and (8,2)

​m=\frac{2-8}{8-2}\\m=\frac{-6}{6}\\m=-1

Therefore, the slope of the line is -1. Plug this into  y=mx+b:

y=-x+b

<u>2) Find the y-intercept (b)</u>

y=-x+b

Plug in a given point and solve for b

8=-2+b

Add 2 to both sides

8+2=-2+b+2\\10=b

Therefore, the y-intercept is 10. Plug this back into y=-x+b:

y=-x+10

I hope this helps!

3 0
3 years ago
Determine whether the graphs of the two equations are perpendicular x-7y=4 and 21x+3y=11
Sveta_85 [38]

Step-by-step explanation:

when multiplied together, the gradients of the 2 graphs should equal -1 (of they are perpendicular).

x-7y=4

-7y= -x + 4

y= -1/7 x + 4/7

21x+ 3y=11

3y=-21x+11

y=-21/3 x + 11/3

-21/3 * -1/7 = 1

when multipled together, the 2 gradients dont equal -1 therefore they are not perpendicular

unless I've made a mistake with the signs at some point haha

3 0
3 years ago
Factor 6 out of <img src="https://tex.z-dn.net/?f=6x%5E2" id="TexFormula1" title="6x^2" alt="6x^2" align="absmiddle" class="late
boyakko [2]

Answer:

See below

Step-by-step explanation:

  • 6x² - 18 =
  • 6*x² - 6*3 =
  • 6(x² - 3)
6 0
2 years ago
Read 2 more answers
What is the best fit equation for the trend line in the scatter plot?
nordsb [41]

Answer:

B the line goes down so its a negative gradient

and you do rise which is -1 over run which is 3

7 0
3 years ago
Pls help will give brainlest to first person who answer correct 50 points
Likurg_2 [28]

Answer:

-25/3

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

3 0
3 years ago
Read 2 more answers
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