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mestny [16]
3 years ago
9

raj tested his new flashlight by shinning it on his bedroom wall the beam of the light can be described by the equation x^2 y^2-

2x-4y-31=0 how many inches wide is the beam of light on the wall
Mathematics
2 answers:
sasho [114]3 years ago
7 0

Answer:

The answer is 12 inches.

Step-by-step explanation:

I just took the test on APEX :)

Arturiano [62]3 years ago
5 0
I can get it into standard form of that certain conic section by completing the square


<span> </span> (x^2-2x)+(y^2-4y)-31=0 <span> </span> (x^2-2x+1-1)+(y^2-4y+4-4)-31=0 <span> </span> (x-1)^2-1+(y-2)^2-4-31=0 <span> </span> (x-1)^2+(y-2)^2-36=0 <span> </span> (x-1)^2+(y-2)^2=36 <span> </span> (x-1)^2+(y-2)^2=6^2

in form
(x-h)^2+(y-k)^2=r^2
r=radius
so how wide it is is the diameter which is 2 times of radius

6=radius
6 times 2=12

12 inches I assume if the units in equation is in inches
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Step-by-step explanation:

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The equation of line a is y=3/4x-3 If line b runs parallel to line a and passes
katen-ka-za [31]

Answer:

y = -4/3 x - 1/3

Step-by-step explanation:

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5 0
2 years ago
Hareem takes a medicine to control his blood pressure. he takes a 25 mg pill in the morning. suppose that 60% of the medicine is
Vikentia [17]

The recursive definition for the amount of the blood pressure medicine in hareem bloodstream after n hours would be a_1=25, a_n = 0.60_{n-1} +25

Hence, option B is correct.

<h3>What is the recursive rule?</h3>

A rule is defined such that its definition includes itself.

Example:

F(x) = F(x-1) + c

is one such recursive rule.

Hareem takes medicine to control his blood pressure.

he takes a 25 mg pill in the morning.

Suppose that 60% of the medicine is processed by hareem's body by the time he takes a second 25 mg pill in the evening.

So, the recursive definition for the amount of the blood pressure medicine in hareem bloodstream after n hours would be;

a_1=25, a_n = 0.60_{n-1} +25

Hence, option B is correct.

Learn more about the recursive rule here:

brainly.com/question/12620593

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5 0
1 year ago
(High points) please solve with explanation
AysviL [449]

Answer:

The area and the perimeter of the picture are:

  • <u>Area = 160 cm^2</u>
  • <u>Perimeter = 67.31 cm</u>

Step-by-step explanation:

To find the area of that figure, you can find the area how if it was a rectangle and next subtract the area of the triangle in the upper part. The area of a rectangle could be found by the next formula:

  • Area of a rectangle = base * height

As you can see in the picture, the base is 16 cm and the height is 12 cm, then we replace in the formula:

  • Area of a rectangle = 16 cm * 12 cm
  • Area of a rectangle = 192 cm^2

Now, we calculate the area of the triangle to subtract to the area we found and obtain the real area, the formula to obtain the area of a triangle is:

  • Area of a triangle = (base * height) / 2

The height of the triangle is 8 cm, and the base is 8 cm too, because you subtract to the base of the rectangle (16 cm) the measurements in the upper part (16 - 4 - 4 = 8), Now, we replace in the formula:

  • Area of a triangle = (8 cm * 8 cm) / 2
  • Area of a triangle = (64 cm^2) / 2
  • Area of a triangle = 32 cm^2

We subtract to the found area:

  • Area of the picture = 192 cm^2 - 32 cm^2
  • <u>Area of the picture = 160 cm^2</u>

To find the perimeter, you must add all the sides of the picture, but, as you can see, there is a side that doesn't have the measurent, this is the hypotenuse of the triangle used before, but how we know the other sides, we can use Pythagorean theorem:

  • a^{2}+b^{2}=c^{2}

Where:

  • a = Opposite leg (8 cm)
  • b = Adjacent leg (8 cm)

So, we replace in the theorem:

  • a^{2}+b^{2}=c^{2}
  • (8 cm)^{2}+(8cm)^{2}=c^{2} (and we clear c)
  • \sqrt{(8 cm)^{2}+(8cm)^{2}} =c
  • \sqrt{64 cm^{2}+64cm^{2}} =c
  • \sqrt{128cm^{2}} =c
  • c = 11.3137085 cm
  • c ≅ 11.31 cm

At last, we add all the sides of the picture begining by the base and going by the left side:

  • Perimeter of the picture = 16 cm + 12 cm + 4 cm + 11.31 cm + 8 cm + 4 cm + 12 cm
  • <u>Perimeter of the picture = 67.31 cm approximately</u>.
7 0
3 years ago
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