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puteri [66]
3 years ago
10

What is the 21st term of the sequence with a1 = -7 and d = 3?

Mathematics
1 answer:
STatiana [176]3 years ago
3 0

Answer:

53

Step-by-step explanation:

a + (n - 1)d   \\  =  - 7 + (21 - 1)3 \\  = 53

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The equation x²– 8x – 5 = 0 can be transformed into the equation (x - p)² = q, where p and q are real numbers. What are the valu
Juliette [100K]

The form (x - p)^2 = q is the form that completing the square will leave us with.

---Add 5 to both sides

x^2 - 8x = 5

---Divide the b term by 2, and square it. Then, add that number to both sides.

-8/2 = -4

(-4)^2 = 16

x^2 - 8x + 16 = 5 + 16

x^2 - 8x + 16 = 21

---Factor!

(x - 4)^2 = 21

p = 4

q = 21

Hope this helps!! :)

5 0
2 years ago
A clock chimes 4 times each hour. whixh expression can be used to find the number of times the clock chimes in a week
solong [7]

There are 24 hours in a day, so if it chimes twice in an hour it will chime 24*2 or 48 times a day. There are 7 days in a week, so it will chime 48*7 or 336 times.

8 0
4 years ago
Describe the procedure you<br> performed to derive the slope-intercept form of a linear equation.
defon

Answer:

1. You first have to find the slope

2. Next, you have to find the y-intercept

3. Finally, you have to put it in y = mx + b form.

Step-by-step explanation:

The slope of 2 points is; \frac{y_{2}- y_{1} }{x_{2}-x_{1}}

The y-intercept is; y-y_{1}=m(x-x_{1} )

y = mx + b

m is always the slope

b is always the starting point or y-intercept

6 0
4 years ago
Read 2 more answers
Determine whether the relationship between the circumfrance of a circle and its diameter is a direct variation. If so, identify
kipiarov [429]

Answer:

The relationship between the circumference of a circle and its diameter represent  a direct variation and the constant of proportionality is equal to the constant \pi

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

where K is the constant of proportionality

In this problem we know that

The circumference of a circle is equal to

C=\pi D

therefore

the relationship between the circumference of a circle and its diameter is a direct variation and the constant of proportionality is equal to the constant \pi

3 0
4 years ago
Write4×4×4×4 in index​
JulijaS [17]

Answer:

4^4

Step-by-step explanation:

the answer is 4 to the power of 4

5 0
3 years ago
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