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DanielleElmas [232]
2 years ago
14

The graph of a linear function is shown.Which word describes the slope lf the line?

Mathematics
1 answer:
Aloiza [94]2 years ago
6 0
ANSWER:
A. Positive

STEP BY STEP EXP:
since the line is rising, (going up to the right), it would be positive. Here’s a reference.
Positive: rising (going up to the right)
Negative: falling (going down to the left)
Zero: horizontal line (going straight left to right)
Undefined: vertical line (going straight up and down)

hope this helped!!
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Nina has x coins. Clayton has 5 fewer coins than six times the number of coins Nina has. Write an expression for the total numbe
DedPeter [7]

Answer:

7x - 5

Step-by-step explanation:

Let

Nina = x coins

Clayton = 6x - 5 coins

Expression for the total number of coins Nina and Clayton have altogether.

Nina + Clayton

= x + (6x - 5)

= x + 6x - 5

= 7x - 5

The correct answer and expression is 7x - 5

7 0
1 year ago
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Triangle XYZ with vertices X(0, 0), Y(0, –2), and Z(–2, –2) is rotated to create the image triangle X'(0, 0), Y'(2, 0), and Z'(2
Marina86 [1]

Answer: The correct options are

(A) Rotation 90° anticlockwise.

(D)  (x, y) → (–y, x).

Step-by-step explanation:  Given that ΔXYZ is rotated to create the image triangle ΔX'Y'Z'.

Triangle XYZ and its image triangle X'Y'Z' are shown in the attached figure.

The co-ordinates of the vertices of ΔXYZ are X(0, 0), Y(0, -2) and Z(-2, -2).

And the co-ordinates of the vertices ΔX'Y'Z' are X'(0, 0), Y'(2, 0) and Z'(2, -2).

<u>Option (A) Rotation 90°:</u>

We see from the figure that if we rotate ΔXYZ is rotated 90° anticlockwise, then it will coincide with ΔX'Y'Z'.

So, rotation of 90° anticlockwise is a correct option.

<u>Option (B) Rotation 180°:</u>

If we rotate ΔXYZ is rotated clockwise or anticlockwise 180°, then it will NOT coincide with ΔX'Y'Z'.

So, rotation of 180° is NOT a correct option.

<u>Option (C) Rotation 270°:</u>

If we rotate ΔXYZ is rotated clockwise 270°, then also it will not coincide with ΔX'Y'Z'.

So, rotation of 270° clockwise is also a correct option.

<u>Option (D) (x, y) → (–y, x):</u>

We see that the co-ordinates of both the triangle follow the transformation

X(0, 0)   ⇒  X'(0, 0)

Y(0, -2)  ⇒   Y'(2, 0)

Z(-2, -2)  ⇒   Z'(2, -2).

So, the transformation is (x, y) ⇒  (-y, x).

Therefore, the  transformation (x, y) → (–y, x) is a correct option.

<u>Option (E) (x, y) → (y, -x):</u>

We see that the co-ordinates of both the triangle does NOT follow this transformation

For example, suppose this transformation is correct. Then, we have

Y(0, -2)  ⇒  (-2, 0), which are not the co-ordinates of Y'.

Therefore, the  transformation (x, y) → (–y, x) is NOT a correct option.

Thus, the correct options are:

(A) Rotation 90° anticlockwise.

(D)  (x, y) → (–y, x).

9 0
1 year ago
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What is the angle θ that the field e⃗ makes with the surface of the slab, which is perpendicular to the x direction? express you
Virty [35]
The angle θ that the field e⃗ makes with the surface of the slab, which is perpendicular to the x direction is <span>θ = -1.57 <span>rad


Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
</span></span>
6 0
1 year ago
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Solve for the equation -2y+y-3 = 6
pashok25 [27]

Answer: y = -9

Step-by-step explanation:

(-2y) + y - 3 = 6

(-y) - 3 = 6

-y = 9

y = -9

7 0
2 years ago
Can someone help me on question 14. Please show steps
zavuch27 [327]

Answer:

0.5a+7.5b^2

Step-by-step explanation:

4b^2+3.5a-2a+3.5b^2-a

Group similar terms together:

3.5a-2a-a+4b^2+3.5b^2

Add the term b^2:

3.5a-2a-a+7.5b^2

Subtract the term a:

0.5a+7.5b^2

5 0
2 years ago
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