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stepladder [879]
3 years ago
7

#7) Solve 8c - 3c + 3 = 13.

Mathematics
1 answer:
nordsb [41]3 years ago
6 0

Hello!

\large\boxed{c = 2}

8c - 3c + 3 = 13

Begin by combining like terms:

5c + 3 = 13

Subtract 3 from both sides:

5c + 3 - 3 = 13 - 3

5c = 10

Divide both sides by 5:

5c/5 = 10/5

c = 2.

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A circle has center at –6 + 2i and a point on the circle at 4 + 26i. Which of the following points is also on the circle?
Alenkasestr [34]
Answer:
–16 – 22i
Step-by-step explanation:
The radius of the circle = 4 + 26i - (-6 + 2i)
= 10 + 24i.
The radius will be the absolute values of this |10 + 24i|.

If a point is on the circle then it's distance from the centre must be 10+ 24i.
-19 + 15i - (-6 + 2i) = -13 - 13i , so this is not on the circle.
-16 - 22i - (-6 + 2i) = -10 - 24i = |10 + 24i| , so this is on the circle.
5 + 16i - (-6 + 2i) = 11 + 14i , so this is not on the circle.
20 - 24i - (-6 + 2i) = 26 - 26i. so this is not on the circle.
3 0
2 years ago
use the explicit formula an = a1 + (n - 1) * d to find the 500th term of the sequence below. 24,30,36,42,48,... A. 3018 B. 3042
marishachu [46]

Answer:

Option A.

Step-by-step explanation:

The given sequence is  

24, 30, 36, 42, 48, ...

It is an AP. Here,  

First term = 24

Common difference = 30-24 = 6

The given explicit formula for nth term is

a_n=a_1+(n-1)d

where, a_1 is first term, d is common difference.

Substitute a_1=24, d=6 \text{ and }n=500 in the above formula.

a_{500}=24+(500-1)(6)

a_{500}=24+(499)(6)

a_{500}=24+2994

a_{500}=3018

The 500th term of the sequence is 3018.

Therefore, the correct option is A.

3 0
3 years ago
Evaluate arccsc square root of 2
leonid [27]
Sin⁻¹ √2 = 1/√2 = 1(√2) / (√2)(√2) = √2/2
8 0
3 years ago
7.064 and expanded form ​
Andreas93 [3]

Answer:

seven and sixty-four thousandths

Step-by-step explanation:

in factors it would be

7 x 1

+ 0 x 0.1

+ 6 x 0.01

+ 4 x 0.001

3 0
3 years ago
What is the value of p?
Galina-37 [17]

Answer:

133 - x = 180

x= 47

142 - y = 180

y = 38

x + y = n

47 + 38 = 85

6 0
3 years ago
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