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Ivanshal [37]
3 years ago
7

What is the slope of the line containing the points (-3,8) and (1,-4)

Mathematics
2 answers:
aksik [14]3 years ago
8 0

Answer:

-3

Hope This Helps!

Step-by-step explanation:

Y2-Y1/X2-X1

-4-8/1-(-3)

-12/4

-3/1

-3

arlik [135]3 years ago
5 0

Answer:

slope = - 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 8) and (x₂, y₂ ) = (1, - 4)

m = \frac{-4-8}{1+3} = \frac{-12}{4} = - 3

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Anna has leaned a ladder against the side of her house. If the ladder forms a 72º angle with the ground and rests against the ho
LuckyWell [14K]

Answer:

(A) 2 meter

Step-by-step explanation:

It is given that the ladder forms a 72º angle with the ground and rests against the house at a spot that is 6 meters high.

Let the measure of bottom of the ladder from the wall be x, then using the trigonometry, we have

\frac{CB}{AB}=tan72^{\circ}

\frac{6}{x}=tan72^{\circ}

\frac{6}{x}=3.077

x=\frac{6}{3.077}

x=1.94

x≈2m

Thus, option A is correct.

6 0
3 years ago
Read 2 more answers
Jerome is going to draw a marble from the bag shown below, replace it, and then draw another marble. What is the probability tha
alexira [117]
Marbles in a bag: 3 green, 4 yellow, 5 blue, 8 pink.

Event A - get a green or yellow marble
Event B - get a pink marble

Events A and B are independent because we draw a marble from a bag with 20 marbles in both cases.
P(A)= \frac{3+4}{3+4+5+8}= \frac{7}{20}  
\\P(B)= \frac{8}{3+4+5+8}= \frac{8}{20} = \frac{2}{5}

Probability of combined events is 
P(A) \times P(B)=\frac{7}{20} \times \frac{2}{5} =\frac{7}{50}
7 0
3 years ago
Read 2 more answers
Eric and Sarah both have lemonade stands. The graph below represents how many cups of lemonade Eric sells per day. The equation
Georgia [21]

Answer:

Eric

Step-by-step explanation:

At 5 days (the x axis), the y axis is 60 which is how much lemonade he sold.

sarah sold 10x or 10 x 5 days=50 cups.

‘Eric sold 60, Sarah sold 50

6 0
3 years ago
(x+2) / 9 = 5 <br><br>Quick question<br>First good answer, brainliest
Zigmanuir [339]

you basically want to get x on it's own to find out what it equals so,

multiply both sides by 9:

x+2 = 45

take away 2 from both sides:

x = 43

8 0
3 years ago
Read 2 more answers
A 2000 gallon fish aquarium can be filled by water flowing at a constant rate in 10 hours. When a decorativve rock is placed in
Elza [17]

Answer:

The volume of the rock is 13.368 cubic feet.

Step-by-step explanation:

The volume of the rock (V_{r}), measured in gallons, is equal to the volume of the fish aquarium without the decorative rock (V') minus the volume of the fish aquarium with the decorative rock (V''), both measured in gallons.

Since the water flow is at constant rate, the volume of the rock is expressed by the following equation:

V_{r} = V' - V''

V_{r} = \dot V \cdot (\Delta t_{1}-\Delta t_{2}) (1)

Where:

\dot V - Flow rate, measured in gallons per hour.

\Delta t_{1} - Filling time of the fish aquarium without the decorative rock, measured in hours.

\Delta t_{2} - Filling time of the fish aquarium with the decorative rock, measured in hours.

And the flow rate is:

\dot V = \frac{2000\,gal}{10\,h}

\dot V = 200\,\frac{gal}{h}

The flow rate is 200 gallons per hour.

If we know that \dot V = 200\,\frac{gal}{h}, \Delta t_{1} = 10\,h and \Delta t_{2} = 9.5\,h, then the volume of the rock is:

V_{r} = \left(200\,\frac{gal}{h}\right)\cdot (10\,h-9.5\,h)

V_{r} = 100\,gal

V_{r} = 13.368\,ft^{3}

The volume of the rock is 13.368 cubic feet.

8 0
2 years ago
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