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3 years ago

5

If H be the H.M. between a and b. prove that 1/H-a + 1/H-b = 1/a+1/b

1 answer:

____ [38]3 years ago

3 0

if susjwmaoakkaajKIJahabsbzh

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Q ,# 13 Graph the function<br>Y = - X + X ^2

GalinKa [24]

We have the following function that is a quadratic function:

$y=-x+x^2$

So the graph of this function is shown in the figure below. This is a <em>parabola</em> as you can see. The roots of this functions, that is, the x-intercepts are:

$y=-x+x^2 \\ y=x(x-1) \\ \\ x_{1}=0 \ and \ x_{2}=1$

As you can see in the figure. This function decreases from $(-\infty,0.5)$ and increases from $(0.5, \infty)$

Finally, another thing we can see from the graph is that the vertex is the point:

$V(0.5,-0.25)$

4 0

3 years ago

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If triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees, where will point A' lie?

Ronch [10]

Given that ABC is a triangle and is reflected over the y - axis, reflected over the x - axis and rotated 180°

We need to determine the coordinates of the point A'

<u>Reflection over the y - axis:</u>

The coordinates of the point A is (-2,1)

The transformation rule to reflect across the y - axis is $(x,y)\rightarrow (-x,y)$

Substituting the point (-2,1) in the rule, we get;

$(-2,1)\rightarrow (2,1)$

Thus, the coordinates of the point A after reflection over the y - axis is (2,1)

<u>Reflection over the x - axis:</u>

The transformation rule to reflect across the x - axis is $(x,y)\rightarrow (x,-y)$

Substituting the point (2,1) in the rule, we get;

$(2,1)\rightarrow (2,-1)$

Thus, the coordinates of the point A after reflection over the x - axis is (2,-1)

<u>Rotation about 180°:</u>

The transformation rule to rotate about 180° is $(x,y)\rightarrow (-x,-y)$

Substituting the point (2,-1) in the rule, we get;

$(2,-1)\rightarrow (-2,1)$

Thus, the coordinates of the point A after the rotation about 180° is (-2,1)

Therefore, the coordinates of the point A' is (-2,1)

Hence, Option B is the correct answer.

7 0

3 years ago

HELPPPPPPPP!!!!!!!!!! Angles 1 and 2 are complementary. If ∠1 measure 29.6°, then what is the measure of ∠2?

Leni [432]

Answer:

29.6*

Step-by-step explanation:

complementary angels are on the same side of the transversal, one is exterior and one is interior, and its always the same angel.

8 0

2 years ago

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The width of a rectangle is 70% of its length. What is the area of the rectangle?

g100num [7]

Answer:

the area is 130

Step-by-step explanation:

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3 years ago

X + 31504 = 92832<br> Find X value

elena-14-01-66 [18.8K]

Answer:

92832-31504=61328...........

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2 years ago

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