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3 years ago

Which is an equation of the line containing the points (2,5) and (4,4) in standard form?

1 answer:

6 0

First, find the slope of the line thru these 2 pts:

5-4
m = --------- = -1/2
2 -4

Use the slope-intercept formula y = mx + b:

5 = (-1/2)(2) + b. Then the y-intercept is 5 + 1, or 6: y = (-1/2)x + 6

Multiplying this entire result (3 terms) by 2 results in 2y = -x + 12, or

x + 2y = 12 (answer)

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Convert 4B from hexadecimal to decimal.

jok3333 [9.3K]

Answer:

Step-by-step explanation:

4 0

3 years ago

F(x)=(-3x+2) and g(x)=(2x^2-5x-1)

pashok25 [27]

Answer: -6x² + 15x + 5

Step-by-step explanation:

To solve this problem, you only need to substitute g(x)'s equation as the value of the x in f(x), then simplify.

Step 1: f(x) = -3(2x² - 5x - 1) + 2

Step 2: Apply the distributive property

-3(2x²) + -3(-5x) + -3(-1)

-6x² + 15x + 3

Step 3: Simplify

f(x) = -6x² + 15x + 3 + 2

f(x) = -6x² + 15x + 5

6 0

3 years ago

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Sonja [21]

Step-by-step explanation:

4/sin45=

$4 \sqrt{2}$

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3 years ago

Solve the following equation for the variable indicated<br> 15 = Зn + 6р, for n

Taya2010 [7]

Answer:

Solving the equation $15 = 3n + 6p$ for variable n we get $\mathbf{n=5-2p}$

Step-by-step explanation:

We need to solve the equation $15 = 3n + 6p$ for variable n

Solving:

$15 = 3n + 6p$

Subtract both sides by 6p

$15-6p = 3n +6p -6p\\15-6p=3n$

Switch sides of equality

$3n=15-6p$

Divide both sides by 3

$\frac{3n}{3} =\frac{15-6p}{3}\\n=\frac{3(5-2p)}{3}\\n=5-2p$

So, solving the equation $15 = 3n + 6p$ for variable n we get $\mathbf{n=5-2p}$

8 0

2 years ago

Suppose a deep sea driver dives from the surface to 248 feet below the surface. He then dives down 10 more feet. Use integers yo

Akimi4 [234]

Answer:

Initial dive: - 248 (below the surface which represents '0')

Second dive: -10

Present depth -248 + -10 = -258 feet below the surface

Step-by-step explanation:

We can use negative integers to represent real-world scenarios such as in elevation and descent, bank account balances and temperatures. In this case, because a diver is descending below the surface of the water, the surface of the water represents the '0' and going down into the water would be negative integers. So, his initial dive is 248 down, or negative 248 (-248), he then dives down an additional 10 feet, or negative 10 (-10). Since the second dive is in addition to his initial dive, we add the two integers together:

-248 + -10 = -258 feet

5 0

3 years ago