All categories

3 years ago

Point (-1, 3) lie on a line with a slope of 4, what is the equation of the line?

Mathematics

1 answer:

sukhopar [10]3 years ago

7 0

Answer: y-3=4(x+1) in point-slope form and y=4x+7 in slope intercept form

Step-by-step explanation:

You can find the point-slope form by plugging the numbers into the following: y-y₁=m(x-x₁).

You will end up with y-(3)=(4)(x-(-1)) which when simplified equals y-3=4(x+1).

To find slope intercept form you know need to isolate y and simplify.

Adding 3 to both sides results in y=4(x+1)+3.

If you then distribute you get y=4x+4+3 which simplifies to y=4x+7.

You might be interested in

Ur smart if u can answer this ez question and extra points

Snezhnost [94]

The answer would be A :)

5 0

3 years ago

A sum of $9, 000 paid into a bank account for two months (61 days) to attract simple interest will produce $9, 020 at the and of

Juliette [100K]

Answer:

Rate of interest will be 1.33 %

Return on this investment = $=\frac{9020-9000}{9000}=0.222$ %

Step-by-step explanation:

We have given principle amount P = $9000

Time = 61 days = $\frac{61}{365}=0.167\ years$

We have to find the rate of interest

Total amount produce at the end of term = $9020

So interest = $9020 - $9000 = $20

We know that simple interest $=\frac{principle\ amount\times rate\times\ time}{100}$

$20=\frac{9000\times rate\times\\ 0.167}{100}$

$rate=1.33$ %

Return on this investment = $=\frac{9020-9000}{9000}=0.222$ %

6 0

4 years ago

The altitude a ( in feet) of a plane t minutes after lift off is given by a=3400t+600

Julli [10]

Answer:

6 minutes

Step-by-step explanation:

'a' in the formula represents altitude in feet. You are told the altitude is 21000 feet, so put that into the formula:

21000 = 3400t +600

You can solve this for t:

20400 = 3400t . . . . . subtract 600 from both sides

6 = t . . . . . . . . . . . . . . . divide both sides by 3400

The problem statement tells you that t represents minutes after lift off, so this solution means the altitude is 21000 feet 6 minutes after lift off.

The question is asking for the number of minutes after lift off that the plane reaches an altitude of 21000 feet, so this answers the question directly:

The plane is at an altitude of 21000 feet 6 minutes after lift off.

4 0

3 years ago

12g^2 + 7g^2 simplify

sukhopar [10]

Answer:

19g^2

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is the interval notation for the compound inequality? x ≤ −4 or x ≥ 5

torisob [31]

Answer:

(-∞, -4] ∪ [5, ∞)

Step-by-step explanation:

Hi!

Alright, so greater (or less) than or equal to is denoted with a bracket.

If x is less than or equal to -4, then the bracket is on the left side.

(___, -4]

Because x is <em>any</em> number under or equal to -4, x can range from negative infinity. However, we use a parentheses for infinity because infinity can never truly be reached.

So, x $\leq$ -4 = (-∞, -4]

X $\geq$ 5

Equal to = bracket

X is any number above 5, so

[5, ∞)

Because we want both of these, we use the union sign (∪)

so,

= (-∞, -4] ∪ [5, ∞)

8 0

3 years ago