All categories

4 years ago

What’s the 16th term?

Mathematics

2 answers:

kramer4 years ago

8 0

Put 16 where n is, then do the arithmetic.

... a(16) = -6 + 3(16 -1)

... a(16) = -6 + 45

... a(16) = 39

Leona [35]4 years ago

6 0

The answer is 39 because you have to plug in 16 for (n-1). Then you do 16-1=15. Then you do 3(15) which is 45. Then you do -6+45=39.

You might be interested in

£5832 is shared equally between 9 people. How much does each person get?

mrs_skeptik [129]

Answer:

648

Step-by-step explanation:

5832÷9=648

I'm not sure what else to put for the explanation.

3 0

3 years ago

Read 2 more answers

Hey you ‼️ yeah I unfortunately need your help again these are hard:(

Helga [31]

Answer:

Step-by-step explanation:

The point of this question is to find out the point where two lines intersect. First we need to get the equation of those lines

Slope of line 1:

(Yb -Ya)/(Xb - Xa) =

(-10 - (-14))/(-1 - (-3)) =

4/2 =

Use that slope to find the Y-intercept of line 1

y = 2x + b

-14 = 2(-3) +b

-14 = -6 + b

-8 = b

Therefore Line 1 is:

y = 2x - 8

Slope of line 2

(11 - 13)/(-1 - (-3)) =

-2/2 =

-1

Y-intercept of line 2

y = -x + b

13 = -(-3) +b

13 = 3 + b

10 = b

Therefore line 2 is

y = -x + 10

Now we have 2 equations to solve for the coordinates x and y

y = 2x - 8

y = -x + 10

Substitute y out in one of the equations

2x - 8 = -x + 10

3x = 18

x = 6

Plug x into one of the equations

y = 2(6) - 8

y = 12 - 8

y = 4

Therefore the solution is:

x=6, y=4

8 0

3 years ago

Read 2 more answers

Reflect triangle ABC over the x-axis. Then translate the new triangle 5 units to the left. What are the coordinates of the verti

makvit [3.9K]

Hi there!

The answer to your question is B my explanation is below

The coordinates of the vertices of the final image will be:

A''(-6, 8), B''(-7, -2), and C''(0, -2)

Hence, option (B) is true.

Step-by-step explanation:

Given the triangle with the vertices

A(-1, -8)B(-2, 2)C(5, 2)We know that when we reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate reverses its sign.

Thus,

The rule of reflection across the x-axis:

(x, y) → (x, -y)

A(-1, -8) → A'(-1, -(-8)) = A'(-1, 8)

B(-2, 2) → B'(-2, -2) = B'(-2, -2)

C(5, 2) → C'(5, -2) = C'(5, -2)

Then, translate the new triangle 5 units to the left

Rule of translating 5 units to the left

(x, y) → (x-5, y)

A'(-1, 8) → A''(-1-5, 8) = A''(-6, 8)

B'(-2, -2) → B''(-2-5, -2) = B''(-7, -2)

C'(5, -2) → C''(5-5, -2) = C''(0, -2)

Therefore, the coordinates of the vertices of the final image will be:

A''(-6, 8), B''(-7, -2), and C''(0, -2)

Hence, option (B) is true.

8 0

3 years ago

Read 2 more answers

The parabola opens upward has x = 2 as an axis of symmetry and contains the non -vertex points (1, 9) and (4, 27) write the equa

Sedaia [141]

Answer:

Step-by-step explanation:

f(x) = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)

"the parabola opens upward" means: a>0

"the parabola has x = 2 as an axis of symmetry" means: h = 2

so f(x) = a(x - 2)² + k

"the parabola contains the point (1, 9)" means:

9 = a(1 - 2)² + k

9 = a(-1)² + k

9 = a + k

k = 9 - a

"the parabola contains the point (4, 27)" means:

27 = a(4 - 2)² + k

so:

27 = a(2)² + 9 - a

27 = 4a + 9 - a

3a = 18

a = 6

and k = 9 - 6 = 3

Therefore the vertex form for this parabola is:

4 0

3 years ago

URGENT HELP <br> *read photo for both questions*

solniwko [45]

SeconAnswer:

Step-by-step explanation:

First question answer is 390.66 m

1 mile_1609.34 m

1000m=1km

2km=2x1000=2000m

2000km - 1609.34m=390.66m

Se ond question 6x10000=60000cm2

3 0

3 years ago