$a_1=-9\\\\a_2=a_1-8\to a_2=-9-8=-17\\\\a_3=a_2-8\to a_3=-17-8=-25\\\\a_4=a_3-8\to a_4=-25-8=-33\\\\\text{The general term of an arithmetic sequence:}\\\\a_n=a_1+(n-1)d\\\\a_1-first\ term\\d-common\ difference\\\\\text{We have}\ a_1=-9\ \text{and}\ d=-8.\ \text{Substitute:}\\\\a_n=-9+(n-1)(-8)=-9-8n+8=-8n-1\\\\\text{Put n = 43 and calculate}\ a_{43}\\\\a_{43}=-8(43)-1=-344-1=-345\\\\Answer:\ \boxed{?=-345}$

4 0

3 years ago

Can you help me out on this question?

astra-53 [7]

Answer:

4. x= 18

Step-by-step explanation:

We solve the problem like this:

Since 3 is proportional to 6 and 9 is proportional to x, we set up a proportion.

3/9 = 6/x

We then use cross-multiplication to solve for x.

7 0

3 years ago

The side lenghts of a square measures 10x+5. the side lenghts of a triangle are 30x,3x and 6x+30. the square and triangle have t

Goshia [24]

(10x+5)4 = 30x + 3x + 6x +30

40x + 20 = 39x + 30

X = 10

perimeter of the square= 420
perimeter of the triangle= 420

5 0

3 years ago

What is the value of x

Svet_ta [14]

Answer:

Step-by-step explanation:

Remark

Every triangle has 180 degrees as the total of its 3 angles.

Equation

x + 98 + 50 = 180

Solution

Combine the like terms on the left

x + 148 = 180

Subtract 148 fro both sides of the equation

x + 148- 148= 180 - 148

Combine

x = 32

x is 32 degrees in size

4 0

3 years ago