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Elina [12.6K]
2 years ago
6

A line passes through the point (8,9) and has a slope of 3/4

Mathematics
1 answer:
stepan [7]2 years ago
7 0

Answer: y=\frac{3}{4}x+3

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Since we are given slope, we can plug that into m, and use the given point to find the y-intercept.

y=\frac{3}{4}x+b          [plug in (8,9)]

9=\frac{3}{4}(8)+b       [multiply]

9=6+b            [subtract both sides by 6]

b=3

Now that we have b, we can complete the equation to y=\frac{3}{4}x+3.

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What is the explicit rule for this sequence?<br> -5, 15, – 45, 135, ...
hoa [83]

Answer:

Step-by-step explanation:

In a geometric sequence, consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as

an = a1r^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the given sequence,

a1 = - 5

r = 15/- 5 = - 3

Therefore, the explicit rule for this sequence is

an = - 5(- 3)^n - 1

4 0
3 years ago
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ruslelena [56]
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2 years ago
For the given equation, find the values of a, b, and c, determine the direction in which
Shkiper50 [21]

Answer: Table D

Step-by-step explanation:

The coefficient of x^2 is -9, the coefficient of x is 7, and the constant is 0, so we know a = -9, b = 7, c = 0.

  • This eliminates tables A, B, and C.

Thus, table D is the answer.

7 0
2 years ago
N a survey, 75% of respondents said that they watch TV for one hour each day. If 30 respondents said they watch TV for one hour
alisha [4.7K]

Answer:

40 respondents

Step-by-step explanation:

Percentage of respondents who watch TV for one hour each day = 75%

Number of respondents who watch TV for one hour each day = 30

Let x denotes total of respondents who watch TV for one hour each day.

Therefore,

\frac{75}{100}x=30\\\\x=\frac{100}{75}(30)=40

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2 years ago
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Gala2k [10]

Answer:

m= 70

s= 40

a= 110

d= 40

Step-by-step explanation:

Angle M is equal to 70 because it is an isoleases triangle.

The 3 sides of a triangle is equal yo 180. So if angle m is 70, then 70+70 is 140. 180-140 is 40. This makes angle s= 40.

Now we have to find angle a. Angle a and 70 make a straight line. So the line is 180. 180-70 is 110. Angle a is equal to 110.

Now we have to find angle d. As I said before All the angles of a triangle equal to 180. 30+110= 140 now 180 - 140= 40. This makes angle d= 40.

8 0
3 years ago
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