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vesna_86 [32]
3 years ago
12

Substitution. (6 points) 3x + 2y = 11 y = 5x - 1 {show work}

Mathematics
1 answer:
nexus9112 [7]3 years ago
8 0
3x+2y=11
y=5x-1

Substitute the y in the first equation:
3x+2(5x-1)=11
y=5x-1

3x+10x-2=11
y=5x-1

13x=13
y=5x-1

Now substitute the x to find the y:
x=1
y=5-1=4
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A person sights a boat from 235 feet above sea-level as shown. If the angle of depression from the man to the boat is 21 , then
Evgen [1.6K]

Answer:

B = 612.2 ft

Step-by-step explanation:

Solution:-

- The elevation of person, H = 235 ft

- The angle of depression, θ = 21°

- We will sketch a right angle triangle with Height (H), and Base (B) : the boat's distance to the edge of the cliff and the angle (θ) between B and the direct line of sight distance.

- We will use trigonometric ratios to determine the distance between boat and the edge of the cliff, using tangent function.

                             tan ( θ ) = H / B

                             B = H / tan ( θ )

                             B = 235 / tan ( 21 )

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4 0
3 years ago
Read 2 more answers
Anaya makes 14 baskets during her game. Some of these baskets were worth two points and others were worth three points. In total
Valentin [98]

Answer:she made 12 two points basket.

Step-by-step explanation:

Let x represent the number of baskets that were worth two points.

Let y represent the number of baskets that were worth three points.

Anaya makes 14 baskets during her game.

This means that

x + y = 14

Some of these baskets were worth two points and others were worth three points. In total she scored 30 points. His means that

2x + 3y = 30 - - - - - - - - - -1

Substituting x = 14 - y into equation 1, it becomes

2(14 - y) + 3y = 30

28 - 2y + 3y = 30

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Substituting y = 2 into x = 14 - y, it becomes

x = 14 - 2

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7 0
3 years ago
2 (01.05)
lord [1]

Answer:

  y +2 = 4(x -3)

Step-by-step explanation:

Point-slope form of the equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

For m = 4 and (h, k) = (3, -2), the equation is ...

  y +2 = 4(x -3) . . . . . matches the first choice

3 0
3 years ago
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Otrada [13]

Answer:

Step-by-step explanation:

  5

3  _

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7 0
3 years ago
A line that includes the point (-11,-1) has a slope of 1. What is it's equation in slope intercept form.
Natali5045456 [20]

Answer:

y - 1 = 1( x -11)

Step-by-step explanation:

I hope this helps you out!

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