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3 years ago

Please help

Mathematics

1 answer:

egoroff_w [7]3 years ago

4 0

Answer:

Step-by-step explanation:

(x-3)/2 = 9

x - 3 = 18

x = 21

(y-5)/2= 6

y - 5 = 12

y = 17

(21, 17)

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oee [108]

Answer: (assuming the first three terms are -6, -2, 2)

(a) f(n) = 4n - 10

(b) 30

Step-by-step explanation:

(So, just as a preface, I made this answer assuming the first three terms are -6, -2, and 2 since I couldn't find a provided fourth term as the problem said)

(a) In order to create an equation for an arithmetic sequence, you need to find the common difference(d) and the 0th term. You can find the common difference by finding the difference between two consecutive terms:

2 - (-2) = 4 (or (-2) - (-6) = 4), so d = 4

Now, you need to find the 0th term. To do this, you can just subtract the d from the first term, -6:

-6 - 4 = -10.

At this point, you can write the equation:

f(n) = -10 + 4n (this is the 0th term plus the common difference, 4, times the nth term)

f(n) = 4n - 10 (reorganize by value of exponents)

(b) In order to find the 10th term, you just need to plug it into the previous equation:

where n = 10, and f(n) = 4n - 10,

f(n) = 4(10) - 10 (substitute n into the equation)

f(n) = 40 - 10 (multiply the term in the parenthesis by the constant)

f(n) = 30 (subtract)

8 0

3 years ago

Express 0.00005 s in µs.

Andre45 [30]

although you come up with 50 you have to pay attention to the significant figures and realize that the seconds only have 1 figure so the answer then becomes 5.

6 0

3 years ago

How does knowing the slope and y-intercept of a line best help you to predict other values?

TEA [102]

Answer:

It helps because you now know the y-intercept and the slope.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The fabulous footballers scored an incredible 55 points at last nights football game. interestingly, the number of field goals w

MA_775_DIABLO [31]

Answer is option II

Given that there are 7 points earned for each touch down and 3 points for each field goal.

t represents thenumber of touchdowns and f the number of field goals.

Then points scored would be 7(t) +3(f) = 7t+3f

Hence we get 7t+3f =55

Also number of field goals was 1 more than twice the number of touchdowns.

Twice the touchdowns = 2(t)

f = 2t+1

Hence the two equations would be:

f = 2t+1

7t+3f =55

Hence option ii is the right answer.

5 0

3 years ago

Please someone help me with this

Ivenika [448]

Answer:

See explanation

Step-by-step explanation:

Triangle ABC ahs vertices at points A(-4,-4), B(-1,-2) and C(-1,-4).

<u>1 way:</u> First reflect this triangle across the y-axis to form the triangle A''B''C'' which vertices are at points A''(4,-4), B''(1,-2) and C''(1,-4).

Then translate this triangle 7 units up to form the triangle A'B'C' with vertices:

$A'(4,-4+7)=A'(4,3)\\ \\B'(1,-2+7)=B'(1,5)\\ \\C'(1,-4+7)=C'(1,3)$

<u>2 way:</u> First translate this triangle 7 units up to form the triangle A''B''C'' which vertices are at points A''(-4,3), B''(-1,5) and C''(-1,3).

Then reflect this triangle across the y-axis to form the triangle A'B'C' with vertices:

$A'(-(-4),3)=A'(4,3)\\ \\B'(-(-1),5)=B'(1,5)\\ \\C'(-(-1),3)=C'(1,3)$

8 0

3 years ago