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My name is Ann [436]
3 years ago
6

Write the explicit rule for the arithmetic sequence -10, -3, 4, 11,...

Mathematics
1 answer:
Bogdan [553]3 years ago
6 0

a

0

=

4

a

i

=

a

i

−

1

+

7

XXXX

possibly with the restriction 1<=i<=4 if this is not intended to be a continuous sequence

Explanation:

This is a simple arithmetic sequence with a difference of  

7

between ascending sequence terms.

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I need help with these two problems. [9 and 10] FORMULAS GIVEN!!
zaharov [31]
<h2>Question 9:</h2>

1. Use Pythagorean Theorem (a²+b²=c²) to solve for missing side of triangle and rectangle. x²+16²=20², or x²+256=400. So, x²=144, and x=12

2. Use formula: 1/2(h)(b1+b2). 1/2 (12) (30+14).

3. Simplify: 1/2 (12) (44)=1/2(528)=264

Area of whole figure is 264 square mm.

<h2>Question 10:</h2>

Literally same thing but with trigonometry.

1. Use sine to find out length of dotted line: sin(60°)=x/12

2: Simplify: 12*sin(60°)=x. x≈10.4 (rounded to the nearest tenth)

3. Use Pythagorean Theorem to find out last leg of triangle: 10.4²+x²=12²

4: Simplify: 108.16 +x²=144. x²=35.84 ≈ 6

5: Use formula: 1/2(h)(b1+b2). 1/2 (10.4) (30+36)

6: Simplify: 1/2 (10.4) (66) =343.2

7: Area of figure is about 343.2

Remember, this is an approximate answer with rounding, so it might not be what your teacher wants. The best thing to do is do it yourself again.

4 0
3 years ago
I need answer as fast as possible please.​
earnstyle [38]

Step-by-step explanation:

a=110. x,55

y=180-(x+75)=50

w,75

b,110

x,40

y,30

6 0
2 years ago
Which ordered pairs lie on the graph of the exponential function f(x)=−3^2x+5 ? Select each correct answer. ​ (−2,  76) ​ ​ ​​ (
In-s [12.5K]

Plugging in values, we get that (1,-4) works.

f(1)=-3^{2*1}+5=-3^2+5=-9+5=-4


3 0
3 years ago
Read 2 more answers
The sum of 4 consecutive multiples of 6 is 540. What is the greatest of these numbers?
pychu [463]

Answer:

144

Step-by-step explanation:

First: 6x

Second: 6x+6

Third: 6x+12

Fourth: 6x+18

- Since they're multiples of 6

6x+6x+6+6x+12+6x+18=540

24x+36=540\\

Subract 36 from each side give us...

24x=504\\x=21

21(6)+18=144

Hope this helped! Please mark brainliest :)

4 0
3 years ago
Simplify the rational expression state any excluded values
Sphinxa [80]
The answer is  C)  x-3
4 0
3 years ago
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