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1 year ago

Write an equation in point-slope form of the line that passes through the point (−3,6) and has a slope of 5.

Mathematics

1 answer:

strojnjashka [21]1 year ago

3 0

Answer:

Below in bold.

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1)

where m = the slope of the line and (x1, y1) is a point on the line.

Here m = 5, x1 = -3 and y1 = 6.

So we have:

y - 6 = 5( x - (-3))

y - 6 = 5(x + 3) (Answer)

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2. Evaluate f(x) = 3x+5/x-1 at x = 3

pashok25 [27]

Answer

Let f(x) = ax + b

Then

f(x + 1) = a(x + 1) + b

= ax + a + b

Hence, a = 3, and a + b = 5, b = 2

f(-2) = 3(-2) + 2

= -6 + 2

= - 4

f(2x) = 3(2x ) + 2

= 6x + 2

6 0

3 years ago

8 less that the product of 2 and a number is 16. find the number

katrin2010 [14]

Answer:

x=12

Step-by-step explanation:

2x-8=16(add a to both sides)

2x=24(divide by 2)

x=12

7 0

2 years ago

A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter. The central angle formed by the peach co

Vsevolod [243]

Answer:

D. 5 inches

Step-by-step explanation:

Given:

A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter.

That means complete angle having 360° is divided into 3 section.

The central angle formed by the peach cobbler is 105 degrees.

The central angle formed by the pasta is 203 degrees.

Question asked:

What is the approximate length of the arc of the section containing the peas?

Solution:

The central angle formed by the peas = 360° - 105° - 203°

= 52°

$Ridius,r=\frac{Dameter}{2} =\frac{12}{2} =6\ inches$

As we know:

$Length\ of\ arc=2\pi r\times\frac{\Theta }{360}$

$=2\times\frac{22}{7} \times6\times\frac{52}{360} \\ \\ =\frac{13728}{2520} \\ \\ =5.44\ inches$

Therefore, the approximate length of the arc of the section containing the peas are 5 inches.

6 0

3 years ago

List the prime numbers up to 40

maria [59]

Answer:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37

8 0

2 years ago

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Use the number line to find (One-fourth) + (negative StartFraction 21 over 8 EndFraction) Negative StartFraction 19 over 4 EndFr

Shalnov [3]

Answer:

- $\frac{19}{8}$

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers