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3 years ago

What value of x and y will make the polygon a parallelogram?

Mathematics

1 answer:

o-na [289]3 years ago

5 0

In a parallelogram, the diagonals bisect each other.
That being the case,
6x = 72

x = 12

AND

x-5 = y
72 -5 = 67

y=67
x = 72

and the diagonals measure
144 and 134

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PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!! Graph g(x) = 3x^2 - 12x - 3

Paul [167]

Answer: Vertex = (2, -15) 2nd point = (0, -3)

Step-by-step explanation:

g(x) = 3x² - 12x - 3

= 3(x² - 4x - 1)

a=1 b=-4 c=-1

Find the x-value of the vertex by using the formula for the axis of symmetry: $x = \dfrac{-b}{2a}$

$x = \dfrac{-(-4)}{2(1)}$

$= \dfrac{4}{2}$

= 2

Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3

g(2) = 3(2)² - 12(2) - 3

= 12 - 24 - 3

= -15

So, the vertex is (2, -15) ← PLOT THIS COORDINATE

Now, choose a different x-value. Plug it into the equation and solve for y. I chose x = 0

g(0) = 3(0)² - 12(0) - 3

= 0 - 0 - 3

= -3

So, an additional point is (0, -3) ← PLOT THIS COORDINATE

5 0

3 years ago

LAST QUSTION OF THE NIGHT!!!!! HELP SHOW WORK PLZ AND THANK YOU!!!

MissTica

Okay, so, to find out if an equation has one solution, an infinite number of solutions, or no solutions, we must first solve the equation:

(a) 6x + 4x - 6 = 24 + 9x

First, combine the like-terms on both sides of the equal sign:

10x - 6 = 24 + 9x

Now, we need to get the numbers with the variable 'x,' on the same side, by subtracting, in this case:

10x - 6 = 24 + 9x
-9x. -9x
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X - 6 = 24

Now, we do the opposite of subtraction, and add 6 to both sides:

X - 6 = 24
+6 +6
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X = 30

So, this particular equation has one solution.

(a). One solution
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(b) 25 - 4x = 15 - 3x + 10 - x

Okay, so again, we combine the like-terms, on the same side of the equal sign:

25 - 4x = 25 - 2x

Now, we get the 2 numbers with the variable 'x,' to the same side of the equal sign:

25 - 4x = 25 - 2x
+ 2x + 2x
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25 - 2x = 25

Next, we do the opposite of addition, and, subtract 25 on each side:

25 - 2x = 25
-25 -25
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-2x = 0

Finally, because we can't divide 0 by -2, this tells us that this has an infinite number of solutions.

(b) An infinite number of solutions.

__________________________________________________

(c) 4x + 8 = 2x + 7 + 2x - 20

Again, we combine the like-terms, on the same side as the equal sign:

4x + 8 = 4x - 13

Now, we get the 'x' variables on the same side, again, and, we do that by doing the opposite of addition, which, is subtraction:

4x + 8 = 4x - 13
-4x -4x
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8 = -13

Finally, because there is no longer an 'x' or variable, we know that this equation has no solution.

(c) No Solution
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I hope this helps!

4 0

3 years ago

Write an equation in slope intercept form for the line with slope -4 and why intercept -1

sladkih [1.3K]

Answer:

y = -4x -1

Step-by-step explanation:

The slope intercept form of an equation is

y = mx +b where m is the slope and b is the y intercept

y = -4x -1

8 0

3 years ago

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HELP ME PLEASE,

jenyasd209 [6]

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6 0

3 years ago

Read 2 more answers

The angles in a triangle are such that one angle is 120 degrees more than the smallest angle, while the third angle is 3 times a

Westkost [7]

Answer:

a = 132; b = 12; c = 36

Step-by-step explanation:

a = b + 120

b = b

c = 3b

a + b + c = 180

(substitute these into the above equation)

b + 120 + b + 3b = 180

5b + 120 = 180

-120 -120

5b = 60

/5 /5

b = 12

(substitute b back into the first equations)

a = (12) + 120 = 132

b = (12)

c = 3(12) = 36

(check: 132 + 12 + 36 = 180)

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3 years ago