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ValentinkaMS [17]
2 years ago
7

Use the coordinates of the labeled point to find the point-slope equation of the line

Mathematics
2 answers:
emmasim [6.3K]2 years ago
5 0

Answer:

C

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

calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (2, - 1) ← 2 points on the line

m = \frac{-1-3}{2-0} = \frac{-4}{2} = - 2

using (a, b ) = (2, - 1 ) , then

y - (- 1) = - 2(x - 2) , that is

y + 1 = - 2(x - 2)

just olya [345]2 years ago
5 0

Answer: A

Step-by-step explanation:

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A clinical test on humans of a new drug is normally done in three phases. Phase I is conducted with a relatively small number of
navik [9.2K]

Answer:

A clinical test on humans of a new drug is normally done in three phases. Phase I is conducted with a relatively small number of healthy volunteers. For​ example, a phase I test of a specific drug involved only 7 subjects.

Step-by-step explanation:

6 0
3 years ago
Find two positive numbers satisfying the given requirements. the product is 192 and the sum of the first plus three times the se
Zepler [3.9K]
<h3>Given</h3>

Two positive numbers x and y such that xy = 192

<h3>Find</h3>

The values that minimize x + 3y

<h3>Solution</h3>

y = 192/x . . . . . solve for y

f(x) = x + 3y

f(x) = x + 3(192/x) . . . . . the function we want to minimize

We can find the x that minimizes of f(x) by setting the derivative of f(x) to zero.

... f'(x) = 1 - 576/x² = 0

... 576 = x² . . . . . . . . . . . . multiply by x², add 576

... √576 = x = 24 . . . . . . . take the square root

... y = 192/24 = 8 . . . . . . . find the value of y using the above equation for y

The first number is 24.

The second number is 8.

6 0
3 years ago
Find the equation of a line with m = 3 that passes though the point (-12,<br> 4).
Viefleur [7K]

Answer:

y = 3x + 40

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , then

y = 3x + c ← is the partial equation

To find c substitute (- 12, 4 ) into the partial equation

4 = - 36 + c ⇒ c = 4 + 36 = 40

y = 3x + 40 ← equation of line

8 0
3 years ago
What is the volume of the cone below?
Serjik [45]

Answer:

B. 264π units³

Step-by-step explanation:

Volume of the cone = ⅓πr²h

Where,

r = 6

h = 22

Plug in the values

Volume = ⅓×π×6²×22

Volume = ⅓×π×36×22

Volume = 264π units³

5 0
3 years ago
HELP ASAP!! (picture above)
lilavasa [31]
To calculate minimum value, do -b/2a to get the x-value, and plug it in to get the y-value: 

-6/8 = -3/4

4 *  (-\frac{3}{4} )^{2} + 6 (-\frac{3}{4} ) - 18 =  \frac{9}{4} -  \frac{9}{2} - 18 =  - \frac{81}{4}

So the minimum value of g(x) is -81/4

This shows that g(x) has a lesser minimum value than f(x)


5 0
3 years ago
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