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3 years ago

What is the equation of the line that passes through the points given in the table

Mathematics

1 answer:

Zepler [3.9K]3 years ago

7 0

Answer:

B: y = -2x + 5

Step-by-step explanation:

-2 - 1 = -3

9 - 3 = 6

$\frac{6}{-3}$ = -2

gradient = -2

3 = 1 x -2 + c

3 = -2 + c

5 = c

y intercept = 5

equation = y = -2x + 5

so the answer is option b

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Which lines are parallel in the regular pentagonal prism? Select each correct answer. CD←→ and HE←→ HE←→ and GF←→ FE←→ and

Fofino [41]

Opposite sides of any rectangular face are parallel, because opposite sides of a rectangle are parallel.

Since HCDE is a rectangle, CD ║ HE.

Since ABCH is a rectangle, AB ║ HC.

8 0

4 years ago

Read 2 more answers

Before the celebration for

Minchanka [31]

Answer:

$1,165\frac{1}{3}\ yd$

Step-by-step explanation:

In this problem we have a regular octagonal barrier (That means that all the length side are equal)

Find out the perimeter of the barrier

The perimeter is equal to

$P=8b$

where

b is the length side of the barrier

we have

$b=145\frac{2}{3}\ yd= 145+\frac{2}{3}=\frac{437}{3}\ yd$

substitute in the formula of perimeter

$P=8(\frac{437}{3})=\frac{3,496}{3}\ yd$

Convert to mixed number

$\frac{3,496}{3}\ yd=\frac{3,495}{3}+\frac{1}{3}=1,165\frac{1}{3}\ yd$

3 0

3 years ago

A suit is on sale for $154. If the original price of the suit was $440, what percent was discounted for the sale? A. 2.5% B. 53%

DochEvi [55]

440 x .65 = 286

440 - 286 = 154

D. 65%

8 0

4 years ago

Let f(x) = x2 − 2x − 3. The secant line through (2, f(2)) and (2 + h, f(2 + h)) for f(x) has slope h + 2. Use this formula to co

Mkey [24]

Answer:

a) slope of secant line = 3

b) slope of tangent line = 2

Step-by-step explanation:

Given:

- The function:

f(x) = x^2 -2*x - 3

- The slope for f(x) @ x = 2 is:

slope = h + 2

Find:

a) The slope of the secant line through (2, f(2)) and (3, f(3))

b) The slope of the tangent line at x = 2

Solution:

- Since we are given the slope of the line computed via secant method. All we need to do is evaluate the slope given for respective question.

- The slope of secant line between points ( 2 , f(2) ) and ( 3 , f(3) ) is:

slope = h + 2

Where, h is the step size between two points. h = 3 - 2 = 1

slope = 1 + 2 = 3

Hence, the slope of the secant is 3.

- The slope of tangent line @ points ( 2 , f(2) ) is:

slope = Lim _ h-->0 (h + 2)

Where, h step size is reduced to infinitesimal small number. Hence, h = 0

slope = 0 + 2 = 2

Hence, the slope of the tangent is 2.

5 0

4 years ago

What is the nth term of the sequence -4 -9 -14 -19

vlabodo [156]

Answer:

-44

Step-by-step explanation:

first term is -4, second -9, third -14, fourth -19, etc.

there is constant difference (-5) between each two neighbor terms

you can use calculator by pushing the following buttons: -4-5========

the method is:

1) insert first term (-4)

2) insert a difference (-5)

3) push the "=" button 1 time less than the desired term number

So, if you must find 9th term, you push "=" button 8 times

after pushing buttons -4-5======== you get a result -44 on a calc

6 0

3 years ago