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GrogVix [38]
2 years ago
6

Can anyone answer this? I’ll give you brainliest and 5 stars.

Mathematics
2 answers:
loris [4]2 years ago
5 0

Answer:

Step-by-step explanation:

2y^4 x 5y^3 = 10y^7

3gh^2 x 4g^3h^3 = 12g^4h^5

lukranit [14]2 years ago
5 0

Answer:

10y^7

12g^4h^5

Step-by-step explanation:

When you multiply exponents together, it is a rule that you add them together. <em>So</em>,

2y^4(5y^3) = 10y^{(4 + 3)} = 10y^7

3gh^2(4g^3h^3) = 12g^{(3 + 1)}h^{(2+3)} = 12g^4h^5

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Um, I don't know if I actually answered the question, but I think that the second one is cheaper to rent. 
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Solve the equation x2-16x+54=0
kari74 [83]

Answer:

x1 = 8+√10, x2 = 8 -√10

Step-by-step explanation:

x² - 16x + 54 = 0

x = \frac{-b +/-\sqrt{b^{2} -4ac} }{2a} \\x = \frac{-(-16)+/-\sqrt{(-16)^{2} -4*1*54} }{2*1} \\\\\\x = \frac{16+/-\sqrt{(40)} }{2*1} = 8+/-\sqrt{10} \\\\x_{1} = 8+\sqrt{10}\\\\x_{2} =8-\sqrt{10}

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KengaRu [80]

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8 0
3 years ago
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Write an equation in slope-intercept form of the line that passes through (6,-2) and (12,1)
yarga [219]

Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:

y =\frac{1}{2}x-5

Step-by-step explanation:

Given points are:

(x1,y1) = (6,-2)

(x2,y2) = (12,1)

The slope intercept form is:

y=mx+b

We have to find the slope first

m =\frac{y_2-y_1}{x_2-x_1}\\=\frac{1-(-2)}{12-6}\\= \frac{1+2}{6}\\=\frac{3}{6}\\=\frac{1}{2}

Putting the value of slope

y = \frac{1}{2}x+b

To find the value of b, putting (12,1) in the equation

1 = \frac{1}{2}(12)+b\\1 = 6+b\\b = 1-6\\b=-5

Putting the values of m and b

y =\frac{1}{2}x-5

Hence,

Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:

y =\frac{1}{2}x-5

Keywords: Equation of line, slope-intercept form

Learn more about equation of line at:

  • brainly.com/question/4361464
  • brainly.com/question/4390083

#LearnwithBrainly

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