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Rainbow [258]
2 years ago
10

Find the distance between the points (−5,2) and (9.2)​

Mathematics
1 answer:
forsale [732]2 years ago
4 0

Step-by-step explanation:

<u>Formula</u><u> </u><u>U</u><u>s</u><u>e</u><u>d</u>

<u>By distance formula,</u>

  • d (A,B)=√[(x₁ - x₂)² + (y₁ - y₂)²]

\sf \longmapsto \: D = √(x2-x1)²+(y2-y1)²

\sf \longmapsto= √(9+5)²+(2-2)²

\sf \longmapsto= = √14²+09

\sf \red \longmapsto \boxed{= 14}

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3 years ago
Which segment is an altitude of triangle IGH? (See attachment)
Reptile [31]

Answer: segment KH

Explanation:

The altitude of a triangle is defined as a segment connecting one of the vertex of the triangle with the opposite side of the triangle (or with an external prolongation of it), forming a right angle with it.

Note that the altitude of a triangle can also be outside the area of the triangle.

If we look at the picture, we see that:

- IH is a side, so it is not an altitude of the triangle

- KH is an altitude of the triangle, since it connects the vertex H with the external prolongation of IG, and it makes a right angle with it

- GJ: we don't know if it is an altitude, since we don't know if it forms a right angle or not

- GH: it is a side of the triangle, so it is not an altitude

So, the correct answer is segment KH.

7 0
3 years ago
Read 2 more answers
the change in water vapor in a cloud is modeled by a polynomial function, c (x). describe how to find the x - intercepts of c (x
lukranit [14]

The change in the water vapors is modeled by the polynomial function c(x). In order to find the x-intercepts of a polynomial we set it equal to zero and solve for the values of x. The resulting values of x are the x-intercepts of the polynomial.

Once we have the x-intercepts we know the points where the graph crosses the x-axes. From the degree of the polynomial we can visualize the end behavior of the graph and using the values of maxima and minima a rough sketch can be plotted.

Let the polynomial function be c(x) = x ² -7x + 10

To find the x-intercepts we set the polynomial equal to zero and solve for x as shown below:

x ² -7x + 10 = 0

Factorizing the middle term, we get:

x ² - 2x - 5x + 10 = 0

x(x - 2) - 5(x - 2) =0

(x - 2)(x - 5)=0

x - 2 = 0 ⇒ x=2

x - 5 = 0 ⇒ x=5

Thus the x-intercept of our polynomial are 2 and 5. Since the polynomial is of degree 2 and has positive leading coefficient, its shape will be a parabola opening in upward direction. The graph will have a minimum point but no maximum if the domain is not specified. The minimum points occurs at the midpoint of the two x-intercepts. So the minimum point will occur at x=3.5. Using x=3.5 the value of the minimum point can be found. Using all this data a rough sketch of the polynomial can be constructed. The figure attached below shows the graph of our polynomial.

8 0
3 years ago
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Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?
xxMikexx [17]

Answer:

C AND D  Y=X-3 IS CONNECTING WITH C AND D AND Y=-2X+1 IS CONNECTING WITH A AND C

Step-by-step explanation:

3 0
3 years ago
Which point is on the line that passes through (0,6) and is parallel to the given line? plzz helppp!
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Points on given line = (-12,-2) and (0,-4) because you can see them on the graph.  Then draw a parallel line thru (0,6)

To get from (0,-4) to (0,6) your x stays constant and your y coordinate increased by 10.  So your new point will do the same in relation to (-12,-2)  the x will stay constant at -12 and your y will increase by 10 to +8.  

So the answer is A (-12,8)

You can check this because parallel lines have the same slope so

y2-y1/x2-x1 should be equal for both lines.

Line 1:  -4 - (-2) / 0 - (-12) = -2/12 = -1/6

Line 2:  6 - 8 / 0 - (-12) = -2/12 = -1/6


5 0
3 years ago
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