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4 years ago

1. A square ABCD has the vertices A(n, n), B(n, -n), C(-n, -n), and D(-n, n). Which vertex is in Quadrant III?

Mathematics

2 answers:

andrew-mc [135]4 years ago

5 0

The four quadrants and the sign of coordinates is given as follows:

Quadrant I : (n, n ) both x and y positive.

Quadrant II : ( -n,n) = x negative and y positive.

Quadrant III : ( -n,-n) = both x and y negative.

Quadrant IV: (n, -n) = x positive and y negative.

So Based on the above concept , we can say that vertex C (-n,-n) has both x and y negative and so it lies in quadrant III.

Answer is Vertex C (-n,-n)

Elden [556K]4 years ago

5 0

The four quadrants and the sign of coordinates is given as follows:

Quadrant I : (n, n ) both x and y positive.

Quadrant II : ( -n,n) = x negative and y positive.

Quadrant III : ( -n,-n) = both x and y negative.

Quadrant IV: (n, -n) = x positive and y negative.

So Based on the above concept , we can say that vertex C (-n,-n) has both x and y negative and so it lies in quadrant III.

Answer is Vertex C (-n,-n)

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Supplementary angles are angles whose son is 180. To supplementary angles are such that one angle is 4° less than three times th

zzz [600]

Answer:

The measures of angle are 46 degrees and 134 degrees.

Step-by-step explanation:

We are given the following in the question:

Let the measure of one the of the supplementary angles be x degrees.

Measure of other angle =

$(3x-4)\text{ degrees}$

Since, the two angles are supplementary, their sum is 180 degrees.

Thus, we can write and solve the equation:

$x + (3x-4) = 180\\4x = 184\\x = 46\\(3x-4) = 134$

Thus, the measures of angle are 46 degrees and 134 degrees.

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3 years ago

X2 + 45x = -200 using the quadratic formula

Ivan

Answer:

x=−5 or x=−40

Step-by-step explanation:

Step 1: Subtract -200 from both sides.

Step 2: Factor left side of equation.

Step 3: Set factors equal to 0.

HOPE IT HELPS:)

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3 years ago

A pitcher of fruit punch holds 2 gallons. If 9 people share the punch, how much does each person get? Answer needs to be in frac

Oxana [17]

There are 2 gallons divided among 9 people
2gallons/9people
2/9 gallons/person

Hope this helps!

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4 years ago

2. After the translation, where Is Alocated?<br> Write your answer in the space below.<br> Text

Nataly_w [17]

9514 1404 393

Answer:

A'(-3, 13)

Step-by-step explanation:

The transformation that moves a point 4 left and 8 up is ...

(x, y) ⇒ (x -4, y +8)

The transformation that reflects a point across the y-axis is ...

(x, y) ⇒ (-x, y)

Applied after the translation, the transformation of ∆ABC becomes ...

(x, y) ⇒ (-(x -4), y +8) = (4 -x, y +8)

Then point A gets moved to ...

A(7, 5) ⇒ A'(4 -7, 5 +8) = A'(-3, 13)

___

In the attached graph, the purple triangle is the result of the translation 4 left and up 8. Then the blue one is after reflection across the y-axis.

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3 years ago

Factor 3x^2 + 13x + 4?<br> Explain the steps!<br> ^ = to the power of

Brut [27]

Since coefficient of x^2 is prime and both second and third term are positive, it must be in form (3x+_)(x+_).

There is three possibles for these blank spaces;
1,4
2,2
4,1

Because coefficient of second term is 13 = 1+12 = 1+3*4, these blank space should be 1,4

So your answer is (3x+1)(x+4)

Hope this makes sense.

8 0

3 years ago