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3 years ago

What is the slope of the line that is perpendicular to the line that passes through points (4,3) and (6,2)?

Mathematics

2 answers:

Ludmilka [50]3 years ago

6 0

The slope of the line is -1/2

denis-greek [22]3 years ago

4 0

It is not -1/2. It is 2 because youre looking for the perpendicular lines slope

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Which equation can be used to solve for in the following diagram?

Ivahew [28]

Answer:

the Answer is 3x+12)+X=180

5 0

3 years ago

Please please help me out

masya89 [10]

Answer: y = 3x + 1

Step-by-step explanation:

The equation is in Slope-Intercept format: y = mx + b where

m is the slope (difference in y's over difference in x's)
b is the y-intercept (value of y when x = 0)

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\\text{Let }(x_1,y_1)=(0,1)\quad \text{and}\quad \text{let }(x_2, y_2)=(1,4)\quad then\\\\m=\dfrac{4-1}{1-0}=\dfrac{3}{1}=3$

b = 1 refer to the table that shows y = 1 when x = 0

Now input m = 3 and b = 1 into the Slope-Intercept formula:

y = 3x + 1

8 0

2 years ago

Starting at the same point, Joe and Anita go roller blading in opposite directions. If Joe roller blades at a speed of 4 mph, an

agasfer [191]

Answer:

They will be at a distance of 16 miles apart from each other.

Step-by-step explanation:

Both Joe and Anita start roller balding in opposite directions, and both of them have the same speed of 4 mph.

As they move oppositely in a straight line therefore, the distance between them will be the distance travelled by each of them's sum.

Distance covered by Joe in 2 hours= 8 miles

Distance covered by Anita in 2 hours= 8 miles

Therefore, the total distance from each other =16 miles

8 0

3 years ago

Please help!! I grant brainliest.

AVprozaik [17]

Answer:

x = 65, y = 63

Step-by-step explanation:

∠ EGA = ∠ HBG = 52° ( corresponding angles )

ED is a straight angle, thus

52 + y + 65 = 180, that is

y + 117 = 180 ( subtract 117 from both sides )

y = 63

-------------------------------------

∠ HGB = y = 63° ( vertical angles )

The sum of the 3 angles in a triangle = 180°, thus

x + 63 + 52 = 180

x + 115 = 180 ( subtract 115 from both sides )

x = 65

4 0

3 years ago

A cup of coffee at 93 degrees Celsius is placed in a room at 23 degrees Celsius. Suppose that the coffee cools at a rate of 1 de

Alinara [238K]

Answer:

Step-by-step explanation:

The rate of change of temperature of the coffee with respect to time is expressed by the differential equation

dT/dt=k(T−A) when k = -1 and A = 23. The equation will become:

dT/dt = -(T-23)

If the coffee cools at the rate of 1°C per minute, then dT/dt = -1 and T = 70

Substituting into the equation:

-1 = k(70-23)

-1 = 47k

k = -1/47

k = -0.0213

Substituting k = -0.0213 into the original equation, the differential equation will be:

dT/dt=k(T−A)

dT/dt = -0.0213(T-23)

dT/dt = -0.0213T+0.489

To get the value of T, we will use variable separable method

dt = dT/-0.0213T+0.489

Integrate both sides

t = -0.0213ln(-0.0213T+0.489)

At t = 1 minute

1 = -0.0213ln(-0.0213T+0.489)

1/-0.0213 = ln(-0.0213T+0.489)

-46.95 = ln(-0.0213T+0.489)

Apply exp to both sides

e^-46.95 = e^ln(-0.0213T+0.489)

4.073×10^-21= -0.0213T+0.489

-0.0213T = 4.073×10^-21-0.489

-0.0213T = -0.489

T = 0.489/0.0213

T = 22.96°C

5 0

3 years ago