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Bogdan [553]
3 years ago
5

Use the given conditions to write an equation for each line in general form.

Mathematics
1 answer:
Aneli [31]3 years ago
6 0

Answer:

It's the last choice:

2x + y - 1 = 0.

Step-by-step explanation:

x - 2y - 3 = 0

Convert to slope-intercept form in order to find the slope:

-2y = -x + 3

y = 1/2x - 3/2

So the slope  is 1/2.  The slope of a line perpendicular to this is -1 / 1/2 = -2.

Using the point-slope form to find  the required equation:

y - y1 = m(x - x1)

x = 4 and y = -7 so we have:

y + 7 = -2(x - 4)

y + 7 = -2x + 8

2x + y - 1 = 0  is the answer.

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What does AC=?<br> Round your answer to the nearest hundredth. <br><br> Please help
faltersainse [42]

Answer: About 3.06

Step-by-step explanation:

  We can use trigonometry functions to solve for AC. Let the ?, representing AC, be "x" in our mathematical work.

  Since we have the hypotenuse and x is adjacent to the angle given, I am going to use cosine.

      cos(θ) = \frac{adjacent}{hypotenuse }

      cos(40) = \frac{x}{4}

      0.766 ≈ \frac{x}{4}

      3.06 ≈ x

      x ≈ 3.06

4 0
2 years ago
. What is the solution set for this inequality? -3r+5&lt;-7 please answer quickly!
irinina [24]

Answer:

r>4

Step-by-step explanation:

-3r+5<-7

-3r+5-5 <-7-5

-3r<-12

-3r/3

12/3

r>4

4 0
3 years ago
Consider the expression 635 , 943 ÷ 77 635,943÷77. Complete the equation below by estimating the dividend and divisor in the exp
Margarita [4]

Answer:

See below

Step-by-step explanation:

<u>We can estimate the dividend and divisor as follows:</u>

  • 635943 ÷ 77 =
  • 636000 ÷ 80 =
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Estimate is 8000

5 0
3 years ago
Work out 1 1/5 + 3 2/5
MariettaO [177]

Answer:

Answer is 4 3/5

Step-by-step explanation:

Rewriting our equation with parts separated

=1+15+3+25

Solving the whole number parts

1+3=4

Solving the fraction parts

15+25=35

Combining the whole and fraction parts

4+35=435

4 0
3 years ago
Read 2 more answers
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vitfil [10]

Answer:

angle ABE = 55 degrees

Step-by-step explanation:

(3x-8) + (x+14) = 90

4x+6 = 90

4x = 84

x = 21

angle ABE = 3(21)-8 = 55

3 0
3 years ago
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