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allsm [11]
3 years ago
8

What is the equation of the line that passes through the point (3,-3) and has a slope of 0?​

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
7 0

Answer:

y = -3

Step-by-step explanation:

(3,-3)

m = 0

Slope-intercept:

y - y1 = m(x - x1)

y + 3 = 0(x - 3)

y + 3 = 0

y = -3

sergeinik [125]3 years ago
5 0

Answer:

y=-3

Step-by-step explanation:

slope-intercept form of the line is given as y=mx+b, where m is the slope and b is the y intercept.

we know the slope (m) and the point (3,-3)

substitute what is known into the equation:

y=0x+b

or:

y=b

since the point will pass through the point (3,-3), we can substitute the values of the point into the equation to find b

-3=0(3)+b

-3=b

therefore the equation is y=-3

hope this helps!

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A bag contains Red, Green or Yellow balls. A ball is taken at random from the bag. The probability that it is Red is 0.4 and the
Luba_88 [7]

Answer:

1000 balls

(there are infinitely many solutions to this question; you can scale up 1000, use a different total, etc.)

Step-by-step explanation:

there are, of course, multiple possible numbers,

but the easiest way is to go with 1000, because we can say 375 / 1000 and 400 / 1000

(0.4 + 0.275 + 0.225 = 1)

400 out of 1000 balls are red (400/1000 = 4/10 = 0.4)

375 out of 1000 balls are green (375/1000 = 3.75/10 = 0.375)

225 out of 1000 balls are yellow (225/1000 = 2.25/10 = 0.225)

the question never gave detail as to if the answer should be the <em>lowest</em><em> </em>number of possible balls, so this value is possible.

So, a possible number of balls in this bag is 1000.

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2 years ago
Bobs supermarket sells red apples and green apples at the ratio of 5:3.
nika2105 [10]

Answer:

10 red apples and 6 green apples

Step-by-step explanation:

first you multiply 5×2 to get 10 apples

then you multiply 3×2 to get 6 apples

5 0
3 years ago
Pls help 15. Find the exact area of the shaded region of the circle shown in the diagram.
konstantin123 [22]

Answer:

  • The shaded region is 9.83 cm²

Step-by-step explanation:

<em>Refer to attached diagram with added details.</em>

<h2>Given </h2>

Circle O with:

  • OA = OB = OD - radius
  • OC = OD = 2 cm

<h2>To find</h2>

  • The area of segment ADB.

<h2>Solution</h2>

Since r = OC + CD, the radius is 4 cm.

Consider right triangles OAC or OBC:

  • They have one leg of 2 cm and hypotenuse of 4 cm, so the hypotenuse is twice the short leg.

Recall the property of 30°x60°x90° triangle:

  • a : b : c = 1 : √3 : 2, where a- short leg, b- long leg, c- hypotenuse.

It means OC: OA = 1 : 2, so angles AOC and BOC are both 60° as adjacent to short legs.

In order to find the shaded area we need to find the area of sector OADB and subtract the area of triangle OAB.

Area of <u>sector:</u>

  • A = π(θ/360)r², where θ- central angle,
  • A = π*((mAOC + mBOC)/360)*r²,
  • A = π*((60 + 60)/360))(4²) =  16.76 cm².

Area of<u> triangle AO</u>B:

  • A = (1/2)*OC*(AC + BC),  AC = BC = OC√3 according to the property of 30x60x90 triangle.
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The shaded area is:

  • A = 16.76 - 6.93 = 9.83 cm²

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Gwar [14]

Answer:

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Step-by-step explanation:

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ivann1987 [24]

Answer:

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8 0
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