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erastovalidia [21]
4 years ago
12

Solving systems of linear inequalities ​

Mathematics
1 answer:
Liono4ka [1.6K]4 years ago
4 0

Answer:

To solve a system of of linear inequalities, you could do the elimination method or substitution method.

Step-by-step explanation:

  • For elimination method, you can add the same value to each side of an equation. So if you have a system: x – 6 = −6 and x + y = 8, you can add x + y to the left side of the first equation and add 8 to the right side of the equation.

For substitution method, you have to:

Step 1 : First, solve one linear equation for y in terms of x.

Step 2 : Then substitute that expression for y in the other linear equation.

Step 3 : Solve this, and you have the x -coordinate of the intersection.

Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.

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-2 = 3у – 18 — 5y<br> Solve for y
larisa [96]
-2=-2y-18

2y=-18+2

2y=-16

Y=-8

8 0
3 years ago
While painting, Sam notices that 1/2 cup of paint covers 1/3 of a sign. What is the amount of paint needed to cover the entire s
Verdich [7]
To answer, determine the amount of paint that is needed in order to cover the whole of the sign. If we use the ratio and proportion and letting x be the unknown amount. The equation would be,
                          1/2  / 1/3 = x / 1
The value of x from the equation is equal to 1.5. Thus, the answer is letter D. 3/2 cups. 
6 0
3 years ago
The picture below shows a portion of a river dam:
NNADVOKAT [17]
Hello,

If you are starting with the angle of 40 degrees, you have an adjacent side and hypotenuse. Therefore, it is a cosine relationship.

We can write:

cos(40) = adj / hyp
cos(40) = x / 220

To solve for x, simply multiply 220 by the cos(40).
You can write it as:  220 cos(40)

Good luck,
MrEQ

8 0
3 years ago
Read 2 more answers
for what value of k, the line joining 3x-ky+7=0 is perpendicular to the line joining (4 ,3) and ( 5, -3).
Schach [20]

Answer:

  • k = 18

=========

<h2>Given</h2>

<h3>Line 1</h3>
  • 3x - ky + 7 = 0

<h3>Line 2</h3>
  • Passing through the points (4, 3) and (5, - 3)

<h2>To find</h2>

  • The value of k, if the lines are perpendicular

<h2>Solution</h2>

We know the perpendicular lines have opposite reciprocal slopes, that is the product of their slopes is - 1.

Find the slope of line 1 by converting the equation into slope-intercept from standard form:

<u><em>Info:</em></u>

  • <em>standard form is ⇒ ax + by + c = 0, </em>
  • <em>slope - intercept form is ⇒ y = mx + b, where m is the slope</em>

  • 3x - ky + 7 = 0
  • ky = 3x + 7
  • y = (3/k)x + 7/k

Its slope is 3/k.

Find the slope of line 2, using the slope formula:

  • m = (y₂ - y₁)/(x₂ - x₁) = (-3 - 3)/(5 - 4) = - 6/1 = - 6

We have both the slopes now. Find their product:

  • (3/k)*(- 6) = - 1
  • - 18/k = - 1
  • k = 18

So when k is 18, the lines are perpendicular.

4 0
2 years ago
X^2 + 1/4 or 7 or 7/2 x + 49
wolverine [178]

Answer:

14

Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
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