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3 years ago

Determine the y- intercept of 3x+2y=9

Mathematics

2 answers:

evablogger [386]3 years ago

8 0

Answer:

The y intercept is (0,4.5)

Step-by-step explanation:

Because the y-intercept occurs at x = 0, we can substitute this into our equation and solve for y.

3(0) +2y = 9

2y = 9

y=4.5

Natalka [10]3 years ago

4 0

Answer:

$\boxed{(0 , 4.5)}$

Step-by-step explanation:

→ Rearrange into y = mx + c format

2y = - 3x + 9

→ Divide everything by 2

y = -1.5x + 4.5

→ Substitute x = 0

y = 0 + 4.5 ⇒ 4.5

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A word problem that can be modeled by addition of two negative numbers integers is given as followed.

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Therefore, Evans is 14 steps backwards relative to where Irvin is standing.

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3 years ago

(b) What does the shaded region represents in the given figure?

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In fractions, the shaded area would equal 1/2
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Can someone please help with these problems I’m having trouble pls

ololo11 [35]

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Similarly when the chords intersect outside the circle, the angle is half the difference of the arc measures.

It's the same with a tangent; in that case there's just not a part of the arc that's not counted on the side with the tangent.

OK, that's how. Let's try some.

1. x = (88 + 86)/2 = 87

2. x = (150 - 60)/2 = 45

3. The angle is exactly half the subtended arc,

x = 110/2 = 55

4. The referenced arc is 360 - 220 = 140 degrees and x is half, 70.

5. Outside, half the difference, x = (90-20)/2 = 35

6. Angle outside, inner arc 6 degrees, vertical angle is 90 degrees.

90 = (x - 6)/2

180 = x - 6

x = 186

7. There's a special rule for this case but we can treat it as outside, little arc x, big arc 360-x,

60 = (360 - x - x)/2

120 = 360 - 2x

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38 = (220 - x - x)/2

76 = 220 - 2x

2x = 220 - 76

x = (220 - 76)/2 = 72

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11. Remaining triangle angle is 180 - 50 - 70 = 60. x=120, y=100, z=140

12. Remaining arc 360 - 170 - 90 = 100. Angles are half.

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3 years ago

A magnet school program was set up to bring in students from all over the city. With the first 112 students, the magnet program

Galina-37 [17]

Answer

Find out the percentage of students from the north side of the city in the program .

To prove

Formula

$Percentage = \frac{Part\ value\times 100}{Total\ value}$

As given

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the magnet program had 50% from the south side of town, 12.5% from the north side l, and 37.5% from the east side.

12 .5 % is written in the decimal form.

$= \frac{12.5}{100}$

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North side student be = 0.125 × 112

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As given

If 6 more student from the north side and 2 students from the west side side enrolled in the program .

than north side student becomes = 14 + 6

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put in the above formula

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