All categories

3 years ago

Through: (3,3), slope=7/3

Mathematics

1 answer:

Yuri [45]3 years ago

5 0

Answer:

y = $\frac{7}{3}$ x -4

Step-by-step explanation:

The slope-intercept form of an equation of a line is given by:

y = mx + b, where m = slope and b = y-intercept

Given the slope and point on a line, you can solve for 'b' in the equation:

(3, 3) - x = 3, y = 3

slope = $\frac{7}{3}$

Plug into the equation:

3 = $\frac{7}{3}$ *3 + b

3 = 7 + b

-4 = b

y = $\frac{7}{3}$ x - 4

You might be interested in

Suzannah made 7 bows. How many feet of ribbon did she use?

ella [17]

Answer:

420

Step-by-step explanation:

5 0

3 years ago

A cement walkway of uniform width has been built around an in-ground rectangular pool. the area of the walkway is 1344 square fe

Elza [17]

Answer:

6 feet.

Step-by-step explanation:

Dimensions of the Pool =80 feet long by 20 feet wide

Area of the walkway =1344 square feet.

If the width of the walkway=w

Length of the Larger Rectangle =80+2w
Width of the Larger Rectangle =20+2w

Area of the Walkway =Area of the Larger Rectangle - Area of the Pool

$1344=(80+2w)(20+2w)-(80*20)\\1344=80*20+160w+40w+4w^2-80*20\\4w^2+200w=1344\\4w^2+200w-1344=0\\We factorize\\4(w^2+50w-336)=0\\4(w^2-6w+56w-336)=0\\w(w-6)+56(w-6)=0\\(w-6)(w+56)=0\\w-6=0$ or $ w+56=0\\w=6$ ft or $ w=-56$ \\Therefore, the width of the walkway , w=6 feet.$

6 0

3 years ago

a tom tom hoop drum is made up of streched membranes, called heads, which are held tightly across a tubular shell. the drum has

pentagon [3]

i d k

Step-by-step explanation:

3 0

3 years ago

Write a rule for the nth term of the arithmetic sequence. Then graph the first six terms of the sequence. a6=-12 a12=-36

denis-greek [22]

Answer:

We need to find the first term. We can use the formula

an = a1 + d(n - 1)

to solve for a1. We already know the 12th term, a12, common difference, d, and nth sequence, n.

a12 = -36

d = -4

n = 12

-36 = a1 - 4(12 - 1)

-36 = a1 - 44

8 = a1

The first term is 8. Therefore, your formula is

an = 8 - 4(n - 1)

an = -4n + 12

Then use this formula to graph.

n is the independent variable.

an is the dependent variable.

Your graph will be a line.

n | an

___________

1 8

2 4

3 0

4 -4

5 -8

6 -12

Step-by-step explanation:

give me brainliest.

3 0

3 years ago

What is the equation of y=2x-6 in standard form?

prisoha [69]

Answer:

2x - y = 6

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y = 2x - 6 ( add 6 to both sides )

y + 6 = 2x ( subtract y from both sides )

6 = 2x - y, that is

2x - y = 6 ← in standard form

3 0

3 years ago

Read 2 more answers