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Nina [5.8K]
3 years ago
15

What is the ninth term in the sequence an=21+5n

Mathematics
1 answer:
Anni [7]3 years ago
4 0

Answer:66

Step-by-step explanation:

an=21+5n

ninth term is a9

a9=21+5x9

a9=21+45

a9=66

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What is the equation of a line that passes through the points (-3, 4) and (2,8)?
ziro4ka [17]

Given that the line passes through the two points (-3,4) and (2,8)

We need to determine the equation of the line.

<u>Slope:</u>

The slope of the line can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the points (-3,4) and (2,8) in the above formula, we get;

m=\frac{8-4}{2+3}

m=\frac{4}{5}

Thus, the slope of the line is m=\frac{4}{5}

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

y-y_1=m(x-x_1)

Substituting the point (-3,4) and m=\frac{4}{5} in the above formula, we have;

y-4=\frac{4}{5}(x+3)

y-4=\frac{4}{5}x+\frac{12}{5}

     y=\frac{4}{5}x+\frac{12}{5}+4

     y=\frac{4}{5}x+\frac{32}{5}

Thus, the equation of the line is y=\frac{4}{5}x+\frac{32}{5}

6 0
3 years ago
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bazaltina [42]

Answer:

25 is the right not comform

8 0
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Help on this 3 questions pleaseeeee!!!!
ra1l [238]

Answer:

14. D

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16. A

Step-by-step explanation:

14. Point slope form formula: y-y₁=m(x-x₁).

When graphing you always want to think x/y for your slope.

X-axis increases by 2 and the Y-axis increases by 10, which would make the slope (m) 2/10 = 1/5.

If your slope is does not come out correct, then you can prove your point.

15. The given information is (-2,2): m=-1.

Given the Point slope formula: y-y₁=m(x-x₁), you can replace m to -1, y₁=2 and x=+2. (Two negatives would make a positive.)

Your answer: y-2=-(x+2)

16. Given: y=4x-7; (3,0)

Parallels lines: Same slope different y-intercepts.

A and D has the same slope and different y-interecepts, but your answer would be A because the equation that was given as a negative y-intercepts.

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76 is 80% of what number
Shkiper50 [21]

Answer:

95

Step-by-step explanation:


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