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AnnZ [28]
3 years ago
14

(5,-4) translate left 6

Mathematics
2 answers:
neonofarm [45]3 years ago
6 0

Answer:

(-1 , -4)

Step-by-step explanation:

The left & right is controlled by the "x" in the coordinate (x , y). When you translate to the left 6, it means that you subtract 6.

Subtract 6 from the number in the x-coordinate (5):

(5 (-6), -4)

(-1 , -4)

Your new point is (-1 , -4).

~

stira [4]3 years ago
4 0
Answer:
(-1,-4)

Explanation:
A coordinate is written like (x,y). When you translate left/right, you are moving across the x axis and when you translate up/down, you are moving across the y axis. Using this, we know that translating left 6 would only change the x value.

Translating left 6 means you’re subtracting 6, and 5-6=-1

Therefore, the final coordinate would be (-1,-4)
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2 years ago
Find area of the isosceles triangle formed by the vertex and the x-intercepts of parabola y=x2+4x−12.
xz_007 [3.2K]

The area of the isosceles triangle is 64 sq units.

<u>Solution:</u>

Part 1: x-intercepts

The x-intercepts occur at the points on the function where y=0

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So solution occur when

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and

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So the x-intercepts are at (0,6) and (0,−2)

Part 2: vertex of the parabola

The vertex of a simple quadratic parabola occurs when the derivative of the quadratic is equal to 0.

The derivative of the given quadratic is

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By observation, this is equal to 0 when x=2

When x=2 the original equation becomes

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Therefore the vertex of this parabola is at (2,−16)

The endpoints of the base of the isosceles triangle are (-6, 0) and (2, 0)

\Rightarrow so its base is 8

The height of the triangle reaches from the midpoint of the base (-2, 0) and the vertex (2, -16)

\Rightarrow so its height is 16

The area is  \frac{1}{2}\times \text { base }\times \text { height }=\frac{1}{2}\times8\times16=64 \text{ sq units }

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3 years ago
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Genrish500 [490]
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Hope this helps!
4 0
3 years ago
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Nuetrik [128]

Answer:

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Now collect like terms,

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Divide both sides by -10

x > 15

The sign changes because if an equality is divided by a negative number the sign automatically changes.

7 0
3 years ago
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