3 years ago

Solve by completing the square. x2^+8x= -20

Mathematics

1 answer:

Schach [20]3 years ago

3 0

Step-by-step explanation:

x2^+8x=-20

9x^2=20

x^2=20-9

x^2=11

√x^2=√11

x=√11

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1) -7v + 4(2 - 5v) = -154

Bad White [126]

Answer:

v=6

Step-by-step explanation:

First let's simplify the equation so it will be easier to PEMDAS the equation later.

-7v+4(2-5v)=-154

-7v+8-20v=-154

-27v+8=-154

Now you must isolate the v variable. You do this by subtracting 8 first and then divide by -27.

-27v+8=-154

-27v=-162

v = 6

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the perimeter of a rectangle is 61 centimeters. The length is 4.1 centimeters longer then the width, w . Write and solve an equa

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The width of the rectangle is 8.2

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He coordinates of the vertices of a polygon are (−2, −2) , (−2, 3) , (2, 4) , (3, 1) , and (0, −2) .

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Step-by-step explanation:

1. You can plot the points, as you can see in the graph attached.

2. As you can see in the graph, the points are:

$A(-2,-2)\\B(-2,3)\\C(2,4)\\D(3,1)\\E(0,-2)$

And the lenghts <em>AB</em> and <em>EA</em> are:

$AB=5$

$EA=2$

3. To find the other lenghts, you can apply the formula for calculate the distance between two points:

$distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

4. Thefore, you have:

$BC=\sqrt{(2-(-2))^{2}+(4-3)^{2}}=4.12\\CD=\sqrt{(2-3)^{2}+(4-1)^{2}}=3.16\\DE=\sqrt{(3-0)^{2}+(1-(-2))^{2}}=4.24$

5. The perimeter is:

$P=AB+CD+DE+EA\\P=5+4.12+3.16+4.24+2\\P=17.52$

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The answer is 10

Step-by-step explanation:

because you will plus one if the decimal greater then or equal to 5

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Answer:

Infinitely many solutions

Step-by-step explanation:

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