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2 years ago

What is the slope of this line??

Mathematics

2 answers:

astraxan [27]2 years ago

8 0

Answer:

m= 8/5

Step-by-step explanation:

Points on the graph: ( -4, -4) and (1, 4)

Slope:

m=(y2-y1)/(x2-x1)

m=(4+4)/(1+4)

m= 8/5

Darya [45]2 years ago

4 0

Answer:

3/2

Step-by-step explanation:

You might be interested in

Use the formula P=21+2w to find the width of a rectangle when the length is 18cm and perimeter is 48 ..

KIM [24]

Answer:

w=6

Step-by-step explanation:

P=2(L)+2(w)

48= 2(18)+2w

48=36+2w

12=2w

w=6

checking;

48= 2(18)+2(6)

48= 36+12

48= 48

8 0

3 years ago

You are standing 40 meters from the base of a tree that leans 8o away from you. The angle of elevation from you to the top of th

Y_Kistochka [10]

Answer:

the height of the tree is 15.49 m

Step-by-step explanation:

Step 1:

From the figure, we can determine ∠ATB by using the fact that the sum of all the angles in a triangle add up to 180°:

∠ ATB = 180° - 98° - 20°

∠ ATB = 62°

Step 2:

Therefore, using the law of sines, we can determine the height of the tree.

TB / sin(20°) = 40 / sin(62°)

TB = 40 × (sin(20°) / sin(62°))

TB = 15.49 m

Therefore, the height of the tree is 15.49 m

3 0

3 years ago

At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A

alexgriva [62]

Answer: A) Option B

B) 22.3 minutes.

Step-by-step explanation:

The temperature decreases in an exponential decrease, this means that we can write the equation as:

T(x) = A*r^x + B

Where A is the difference between the initial temperature and the room temperature, B is the room temperature, and r is a positive number smaller than 1, that says "how fast" the temperature decreases (and x is the variable, in units of time)

We know that the initial temperature

A = 200° - 72° = 128°

B = 72°

T(x) = 128°r^x + 72°

The only option with those two values is option B.

T(x) = 128(0.989)^x + 72

We should check that when x = 2m, the temperature must be 197°

T(2m) = 128*(0.989)^2 + 72 = 197.2° (that we can round down to 197°)

So this equation is correct

Now we want to find the time such the temperature is 172°F

then:

172° = 128°(0.989)^x + 72°

100° = 128°(0.989)^x

100/128 = (0.989)^x

x = ln(100/128)/ln(0.989) = 22.3 minutes.

Let's check in our equation:

T(22.3) = 128°(0.989)^22.3 + 72 = 172°

8 0

3 years ago

Simplify x^2-4x+4/x^2-4

MatroZZZ [7]

Answer:

x2 - 4x - 4

———————————

x - 2

Step-by-step explanation:

4 0

2 years ago

Which difference is about 10?

Helga [31]

Option B is the answer.

70.9 - 58.7

4 0

3 years ago