J is not a function.
for y to be a function of x, it needs to have every input x value mapping to one, and only 1, output y value.
we see that for graph J, x = -3 maps to both -3 and -2.
can't be a function
The required angle m∠ADB of the nomadic tribal rug is 112°
Given, that in ΔAED and ΔBDC,
where, m∠AED = 34° and m∠EAD = 112°
To find m∠ADB
By using the angle sum property of a triangle, which states that the sum of interior angles of a triangle is 180°.
Therefore in ΔAED,
m∠AED + m∠EAD + m∠ADE = 180°
34° + 112° + m∠ADE = 180°
or, m∠ADE + 146° = 180°
or, m∠ADE = 34°
Similarly, m∠BDC = 34°
Now, by using the sum of linear pair of angles,
m∠ADE + m∠ADB + m∠BDC = 180°
34° + m∠ADB + 34° = 180°
m∠ADB + 68° = 180°
m∠ADB = 180°- 68°
m∠ADB = 112°
To learn more about linear pair of angles, visit: brainly.com/question/26555759?referrer=searchResults
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Answer:
Either x≈ -1.12 or x ≈0.45
Step-by-step explanation:
Using the quadratic formula to solve this, we will follow the steps below;
First, write down the quadratic formula;
x = -b ±√b² - 4ac /2a
From the question, the equation given is: 6x²+4x−3=0
comparing the equation given withe standard equation ax² + bx + c=0
a= 6 b= 4 and c = -3
We can now proceed to insert the values into the formula;
x = -4 ±√4² - 4(6)(-3) /2(6)
x = -4 ±√16+72 /12
x = -4 ±√88 /12
Either x = -4+√88 /12
x ≈0.45
OR
x = -4 -√88 /12
x≈ -1.12
Either x≈ -1.12 or x ≈0.45
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The volume of this prism would be 294 cubic units.
To determine this you can use the given perimeter of 28 to create combinations of dimensions of a recatangule prism.
I started with 7 + 7 + 7 + 7 to get 28. This means the length and width were both 7 units.
This would make the dimensions of this prism 7 x 7 x 6(the height).
The find the volume multiply all three numbers.
The volume is 296 cubic units.
