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Tom [10]
2 years ago
15

Use point-slope form to write the equation of a line that passes through the point

Mathematics
2 answers:
solniwko [45]2 years ago
5 0

Answer:

y = -5x - 25

Step-by-step explanation:

Substitute into form of y - y1 = m(x - x1): (Take the point (-7,10) for x1 & y1, m would be the slope)

y - 10 = -5(x -(-7))

y - 10 = -5(x + 7)

y - 10 = -5x - 35

y = -5x - 25

earnstyle [38]2 years ago
5 0

Answer:

y= -5x-25

Step-by-step explanation:

Equation of line with points given =

y = mx + b

m = -5 , x = -7 , y = 10 while the intercept, b is not given, so we need to find that...

Therefore, we substitute the value for the given equation

10 = -5*-7 + b

10 = 35 + b

b = 10 - 35

b = -25

Therefore we substitute the value for m and b to the equation of line

y = -5x - 25

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What is the factored form of the expression. (2n^2 + 5n + 3) (4n - 5)
7nadin3 [17]

So firstly, <u>the factor (4n - 5) cannot be further factored, so we will be focusing on 2n² + 5n + 3.</u>

So for this, we will be factoring by grouping. Firstly, what two terms have a product of 6n² and a sum of 5n? That would be 2n and 3n. Replace 5n with 2n + 3n:

(2n^2 + 2n + 3n + 3)(4n - 5)

Next, factor 2n² + 2n and 3n + 3 separately. Make sure that they have the same quantity on the inside of the parentheses:

(2n(n+1)+3(n+1))(4n-5)

Now we can rewrite this expression as<u> (2n+3)(n+1)(4n-5) , which is your final answer.</u>

7 0
3 years ago
Find the value of 15.0 N in pounds. Use the conversions 1slug=14.59kg and 1ft=0.3048m .
Sliva [168]

The value of 15.0 N in pounds = 3.375 lb

<h3><em>Further explanation </em></h3>

The derivative magnitude is a quantity derived from the principal amount

7 main quantities have been determined based on international standards, namely:

  • 1. Length, meters (m)
  • 2. Time, second (s)
  • 3. Mass, kilograms (kg)
  • 4. Temperature, kelvin (K)
  • 5. Light intensity, candela (cd)
  • 6. Electric current, ampere (A)
  • 7. Amount of substance, mol (m)

Newton (N) is one unit of force (F) which is a quantity derived from mass (m), length (l) and time (s)

Newton can be expressed in terms of Kg m / s²

Formula used:

F = m. a

N = kg. m / s²

In the British system there are units of slug, feet, and pounds so that the unit of force becomes:

F = m. a

Lb = slug. ft / s²

The relationship between the two-unit systems above is:

1 kg = 0.0685 slug

1 slug = 14.59 kg

1 newton = 0.225 lb

1 lb = 4,448 newtons

1 ft = 0.3048 m

So if we change 15 N to lb by using slug and ft

15 N = 15 * (1 / 14.59) slug * (1 / 0.3048) ft / s²

15 N = 3,375 slug ft / s ²

15 N = 3,375 lb

or we convert directly:

15 N = 15 * 0.225 lb

15 N = 3,375 lb

<h3><em>Learn more </em></h3>

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Keywords: slug, Newton, feet, kg, pound

6 0
3 years ago
What is the answer to this question?
WARRIOR [948]

Answer: Lower right corner

============================================

Explanation:

The information that the temperature rises 3 degrees per hour will tell us the slope here. The slope is rise/run = 3/1 = 3. Each time we move up 3 on the y axis, we move 1 spot to the right.

As you can see in the bottom right hand corner graph, we start off at a temperature of 20 degrees. This is the point (x,y) = (0,20)

Then one hour later (x = 1), the temperature y bumps up to y = 23. Another hour passes by (x = 2) and y becomes y = 26. And so on.

3 0
3 years ago
A farmer who has fixed amounts of land and capital finds that total product is 24 for the first worker hired, 32 when two worker
ruslelena [56]

Answer:

A. 8.

Step-by-step explanation:

The marginal product is the increase in output (units produced) resulting from employing one more worker. Therefore, the marginal product of the second worker (M2) is given by the difference between the total product with two workers and the total product with one worker.

M_2 =32-24\\M_2 =8

The answer is A. 8.

6 0
3 years ago
Which set of ordered pairs could be generated by an exponential function?
olasank [31]

Answer:

The correct option is  (1,2), (0, 1), (1, 2), (2, 4).

Step-by-step explanation:

Consider the provided ordered pairs.

The exponential function is in the form of f(x)=ab^x

Where,  a is the initial amount a\neq 0 and  b is the rate of change b>0, b\neq 1

The graph of each exponential function passes through the point (0, a),

f(0)=a\cdot b^0 = a and a\neq 0  

Therefore, Option 1 and 2 and 4 are false.

Hence, the correct option is  (1,2), (0, 1), (1, 2), (2, 4).

6 0
3 years ago
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