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hodyreva [135]
3 years ago
11

A line passes through the point (3,9) and has a slope of 4

Mathematics
2 answers:
expeople1 [14]3 years ago
7 0
Point-slope form is y - y1 = m(x - x1). We just need to plug in our stuff. This gives us y - 9 = 4(x - 3). I am not sure if you need to simplify, but if you do, y - 9 = 4x - 12.
miv72 [106K]3 years ago
4 0

Answer:

y - 9 = 4(x - 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = 4 and (a, b ) = (3, 9 ) , then

y - 9 = 4(x - 3) ← equation of line

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Which choices are equivalent to the fraction below check all the apply ""24" over 30
user100 [1]

Answer:

c) The reduced form of the given fraction   \frac{24}{30} =  \frac{4}{5}

Step-by-step explanation:

Here, the given expression is  "24 over 30".

The given expression is  is equivalent to \frac{24}{30}

Now by Prime Factorization:

24  =  2 x 2 x 2 x 3

30  = 2 x 3 x 5

⇒ The common factors in 24 and 30 is  2 x 3  = 6

So, \frac{24}{30}  = \frac{2 \times 2 \times 2 \times 2 \times 3}{2 \times 3 \times 5}   = \frac{6 \times 4}{6 \times 5}   = \frac{4}{5}

Hence the reduced form of the given fraction   \frac{24}{30} =  \frac{4}{5}

6 0
4 years ago
The equations of four lines are given. Identify which lines are perpendicular.
erma4kov [3.2K]

Answer:

Line 2 and Line 4 are perpendicular

Step-by-step explanation:

Line 2: y=1/5x−3

Line 4: y+1=−5(x+2)

3 0
3 years ago
Factorise: 5(2^n)+2^n+2
marin [14]

Answer:

2 ( n + 2 ) ( n + 1 2 )

Step-by-step explanation:

coefficient of the first term:  

2 = 2 × 1

coefficient of the last term:  

2 = 2 × 1

coefficient of the middle term (using only the factors above):  

5 = 2 × 2 + 1 × 1

2 n 2 + 5 n + 2 = ( 2 n + 1 ) ( n + 2 )

Alternative method:

Treat the given expression as a quadratic set equal to zero, with the form

a n 2 + b n + c

and use the quadratic formula

− b ± √ b 2 − 4 a c 2 a

This will given solutions

n = − 2  and  n = − 1 2

for a factoring

2 ( n + 2 ) ( n + 1 2 )

Hope this helped

3 0
3 years ago
Determine the vertex of the function f(x) = 2(x - 5)2 + 8.
Pachacha [2.7K]
Solve for x, which can be done by moving x to the other side.
2(x-5)^2+8

So, x = 5

The y value is the number at the end and we can see that it is positive 8.

y = 8

Write it out as a coordinate pair and you would get (5,8) or answer choice D
8 0
3 years ago
Charlie's bill at the diner was $18.75. He left a tip of $3.40. What percentage of a tip did he leave? (Round to the nearest who
Scrat [10]

Answer:

18.1333%

Step-by-step explanation:

I THINK this is the answer,    

3 0
3 years ago
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