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kicyunya [14]
1 year ago
6

8-5(x+2)<-5 what is the inequality with a line graph

Mathematics
1 answer:
Vadim26 [7]1 year ago
3 0

The expression for the inequality is:

8-5(x+2)

We need to find which line represents this inequality. To do that we will use the left side of the inequality and rewrite it as a slope-intercept form. Which is done below:

\begin{gathered} y(x)=8-5(x+2) \\ y(x)=8-5x-10 \\ y(x)=-5x-2 \end{gathered}

The line for this inequality is "-5x -2". Where the slope is -5 and the y-intercept is -2. We can graph it as shown below:

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Can someone please help me? the question is in the picture. Thank you
MAVERICK [17]

Answer:

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Step-by-step explanation:

KL is divided in two congruent segment

KL = 15 * 2 = 30

so JM = 30

6 0
3 years ago
Find the product of z1 and z2, where z1 = 2(cos 70° + i sin 70°) and z2 = 4(cos 200° + i sin 200°)
vazorg [7]

Answer:

-8i

Step-by-step explanation:

To multiply numbers is polar form

z1 = r1 ( cos theta 1 + i sin theta 1)

z2 = r2 ( cos theta 2 + i sin theta 2)

z1*z2 = r1*r2 (cos (theta1+theta2) + i sin (theta1+theta2)

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5 0
4 years ago
Read 2 more answers
What total length of ribbon is needed to Line the two long sides of the hat?
frozen [14]

Answer:

Total length of ribbon to line the long sides will be 22 in

Step-by-step explanation:

In the given figure of kite if we draw a line "h" vertically will form two right angle triangles.

Then by applying Pythagoras theorem in both the triangles.

h²= (3x + 5)² + (2x + 1)² ------(1)

h²= (5x + 1)² + 5² ------(2)

By equating both the equations

(3x + 5)² + (2x + 1)² = (5x + 1)² + 25

9x² + 25 + 30x + 4x² + 4x + 1 = 25x² + 10x + 1 + 25

13x² + 34x + 26 = 25x² + 10x + 26

13x² - 25x² + 34x - 10x + 26 - 26 = 0

- 12x² + 24x = 0

12x² - 24x = 0

x² - 2x = 0

x(x - 2) = 0

x = 2

Now we will put x = 2 in the measure of sides of the kite.

Side 1 = (3x + 5)

          = 3×2 + 5

          = 11

Side 2 = (5x + 1)

          = 5×2 + 1

          = 11

Side 3 = (2x + 1)

          = 2×2 + 1

          = 5

Therefore, Total length of ribbon to line the long sides will be = 11 + 11

= 22 in.

6 0
3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

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