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Varvara68 [4.7K]
3 years ago
13

What is the equation of the line that passes through the point (4,3) and has a slope of 1?

Mathematics
1 answer:
Mamont248 [21]3 years ago
5 0

Answer (<u>assuming it can be in point-slope form)</u>:

y-3 = 1(x-4)  

Step-by-step explanation:

Use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line. Substitute real values for m, x_1, and y_1 in the formula.

Since m represents the slope, substitute 1 in its place. Since x_1 and y_1 represent the x and y values of a point the line intersects, substitute the x and y values of (4,3) in its place. Substitute 4 for x_1 and 3 for y_1. This gives the following equation and answer in point-slope form:

y-3 = 1(x-4)

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Find the inverse. <br><br> f(x)= 2x-5/3x+4
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Answer:

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Step-by-step explanation:


3 0
3 years ago
In a geometric sequence, a2= -144 and a5=486. Write the explicit formula for this sequence
pickupchik [31]

Answer:

a_{n} = 96(-1.5)^{n-1}

Step-by-step explanation:

The n th term of a geometric sequence is

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio.

Both values have to be found.

Using

a₂ = - 144, then

ar = - 144 → (1)

a₅ = 486, then

ar^{4} = 486 → (2)

Divide (2) by (1)

\frac{ar^4}{ar} = \frac{486}{-144}

r³ = - 3.375 ( take the cube root of both sides )

r = - 1.5

Substitute r = - 1.5 into (1)

- 1.5a = - 144 ( divide both sides by - 1.5 )

a = 96

Hence explicit formula is

a_{n} = 96(-1.5)^{n-1}

5 0
4 years ago
If a total amount is 5 7/8 and 6 people need to be fed, how much is a serving size?
PolarNik [594]

<em>Answer:</em>

47/48

<em>Explanation:</em>

Since 5 7/8 is so close to 6, it is easier to work this problem by considering the difference.

The serving size is 1/6 of the total amount, so you want to find ...

... (5 7/8) × (1/6)

Following the observation above, we can compute it as ...

... (6 - 1/8) × (1/6) = (6/6) - (1/8)×(1/6)

... = 1 - 1/48

... = <em>47/48</em>

5 0
3 years ago
Help (100 + 650) - (2x 300) ??
Kipish [7]
It’S 750-600 this the answer
5 0
3 years ago
Read 2 more answers
What is 1 1/2 plus 2/3?
belka [17]
1 3/6 + 4/6 = 1 7/6 = 2 1/6
3 0
3 years ago
Read 2 more answers
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