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Anettt [7]
3 years ago
8

Given: 4x – 2y = 8 Transform the equation into slope-intercept form. Find the slope and y-intercept of the line. Find the equati

on, in point-slope form, of the line that is perpendicular to this line and passes through the point (1, 2).
Mathematics
1 answer:
Citrus2011 [14]3 years ago
5 0

Answer:

y = 2x - 4      slope: 2   y intercept: -4

equation of perpendicular line pass (1,2):         y = -1/2 * x + 2.5

Step-by-step explanation:

4x - 2y = 8

2y = 4x - 8

y = 2x - 4

slope: 2

y intercept: -4

slope of perpendicular line: -1/2

2 = -1/2 * 1 + b

b = 2.5

equation of perpendicular line pass (1,2): y = -1/2 * x + 2.5

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292-81= 211

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2x2 + 6x - 25 = 0 <br> Can someone help me solve this?
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3 years ago
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snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

<u>Simple Interest Formula</u>

I = Prt

where:

  • I = interest earned.
  • P = principal invested.
  • r = interest rate (in decimal form).
  • t = time (in years).

Given:

  • Total P = $7000
  • P₁ = principal invested at 5%
  • P₂ = principal invested at 8%
  • Total interest = $500
  • r₁ = 5% = 0.05
  • r₂ = 8% = 0.08
  • t = 1 year

Create two equations from the given information:

\textsf{Equation 1}: \quad \sf P_1+P_2=7000

\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500

Rewrite Equation 1 to make P₁ the subject:

\implies \sf P_1=7000-P_2

Substitute this into Equation 2 and solve for P₂:

\implies \sf 0.05(7000-P_2)+0.08P_2=500

\implies \sf 350-0.05P_2+0.08P_2=500

\implies \sf 0.03P_2=150

\implies \sf P_2=\dfrac{150}{0.03}

\implies \sf P_2=5000

Substitute the found value of P₂ into Equation 1 and solve for P₁:

\implies \sf P_1+5000=7000

\implies \sf P_1=7000-5000

\implies \sf P_1 = 2000

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

brainly.com/question/27743947

brainly.com/question/28350785

5 0
1 year ago
Multiply 3x (2x - 1)​
Volgvan

Answer:

6x^2 - 3x

6x^2-3x

Step-by-step explanation:

3x (2x-1)

multiply 3x by 2x -> 6x^2

multiply 3x by -1 -> -3x

6 0
2 years ago
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