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Irina-Kira [14]
3 years ago
8

Write an equation to model the distance between the point (2,4) and any point along the curve

Mathematics
1 answer:
zlopas [31]3 years ago
7 0

Answer:

Distance D = √ [(2 - x)^2 + (3 - 4x^3)^2].

Step-by-step explanation:

Use the distance formula:

D = √[(x2 - x1)^2 + (y2 - y1)^2].

So here it is

D = √[(2 - x)^2 + (4 - y)^2]    where x,y is any point on the curve.

D = √[2 - x)^2 + (4 - (4x^3 + 1))^2]

D = √ [(2 - x)^2 + (3 - 4x^3)^2]

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NEED HELP ASAP!!!<br> thank you.
Alex17521 [72]

Answer:

See explanation

Step-by-step explanation:

Consider triangles ACM and BCM. In these triangles,

  • m\angle 3=m\angle 4 - given;
  • m\angle 1=m\angle 2=90^{\circ} - definition of perpendicular lines CM and AB;
  • \overline{CM}\cong \overline{CM} - reflexive property.

So,

\triangle ACM\cong \triangle BCM by ASA postulate (if one side and two angles adjacent to this side of one triangle are congruent to one side and two angles adjacent to this side of another triangle, then two triangles are congruent).

Two-column proof:

      Statement                                 Reason

1. m\angle 3=m\angle 4                          Given

2. CM\perp AB                        Given

3. m\angle 1=m\angle 2=90^{\circ}       Definition of perpendicular lines CM and AB

4. \overline{CM}\cong \overline{CM}          Reflexive property

5. \triangle ACM\cong \triangle BCM                       ASA postulate

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2 years ago
Can someone please help me with this graph question??? Please???
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Solution (8 , 9)


Answer is A. (8,9)

7 0
3 years ago
Bonnie planted a garden in her backyard. Both the garden and the backyard are right triangles. The garden is proportional to the
Mandarinka [93]
You can find the area of Bonnue's backyard by comparing the hypotenuse of the garden to the hypotenuse of the back yard.  If the hypotenuse of the garden is 10 (with the side lengths being 6, 8 and 10 - the longest is always the hypotenuse) and the hypotenuse of the back yard is 30, this is a scale factor of 3 (3 times longer).

This means the other two sides would also be 3 times longer.

6 yards x 3 = 18
8 yards x 3 = 24

To find the area using these dimensions, you will use the formula for finding the area of a triangle.

A = 1/2bh
A = 1/2 x 18 x 24
A = 216 square yards

The area of the backyard is 216 square yards.
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3 years ago
Find x in the diagram
sukhopar [10]

Answer: where’s the diagram

Step-by-step explanation:

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2 years ago
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Counterexample for: The sum of a negative and a positive number is always negative
vredina [299]

Answer:

The sum of a negative and a negative is always a positive

Step-by-step explanation:

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