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aliina [53]
3 years ago
12

What is an equation of the line that passes through the points (-4, -1) and (3,-8)?

Mathematics
1 answer:
Kaylis [27]3 years ago
6 0

Answer:

y=-x-5

Step-by-step explanation:

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

m=(-8-(-1))/(3-(-4))

m=(-8+1)/(3+4)

m=-7/7

m=-1

y-y1=m(x-x1)

y-(-1)=-1(x-(-4))

y+1=-1(x+4)

y+1=-x-4

y=-x-4-1

y=-x-5

Please mark me as Brainliest if you're satisfied with the answer.

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Use a two-column proof to prove the Triangle Proportionality Theorem:
photoshop1234 [79]

Answer:

Step-by-step explanation:

From the picture attached,

                 Statements                                        Reasons

1). In ΔABC, DE intersects AB and AC  1). Given

2). DE║BC                                              2). Given

3). ∠ADE ≅ ABC                                    3). Corresponding angles postulate

4). ∠AED ≅ ∠ACB                                 4). Corresponding angles postulate

5). ΔADE ~ ΔABC                                  5). AA similarity postulate

6). \frac{AD}{AB}=\frac{AE}{AC}                                           6). Definition of two similar triangles

Hence proved.  

4 0
3 years ago
Tanya has a garden with a trench around it. The garden is a rectangle with length 2.5m and width 2m. The trench and the garden t
Drupady [299]

Answer:

5.5m^2

the area of just the trench is 5.5 m^2

Step-by-step explanation:

The Area of trench only is the total area(trench and garden) minus the Area of garden

Area of trench only = total area(trench and garden) - Area of garden

Area = length × breadth

Substituting the given dimensions;

Total area = 3.5 × 3 = 10.5 m^2

Area of garden = 2.5×2 = 5 m^2

Area of trench only = 10.5 m^2 - 5 m^2

Area of trench only = 5.5m^2

the area of just the trench is 5.5 m^2

8 0
4 years ago
Read 2 more answers
2 points) Suppose w=xy+yzw=xy+yz, where x=et, y=2+sin(t)x=et, y=2+sin⁡(t), and z=2+cos(3t)z=2+cos⁡(3t). A ) Use the chain rule t
Olenka [21]

Answer:

\frac{\partial w}{\partial t}  = y(e^t) +(x+z)*(cos(t))  - 3y*sin(3t)

Step-by-step explanation:

First, note that

\frac{\partial x}{\partial t}  = e^{t} \\\frac{\partial y}{\partial t}  = cos(t)\\

And using the chain rule in one variable

\frac{\partial z}{\partial t}  = -3sin(3t)

Now remember that the chain rule in several variables sates that

\frac{\partial w}{\partial t}  = \frac{\partial w}{\partial x} * \frac{\partial x}{\partial t} + \frac{\partial w}{\partial y} * \frac{\partial y}{\partial t} + \frac{\partial w}{\partial z} * \frac{\partial z}{\partial t}

Therefore the chain rule in several variables would look like this.

\frac{\partial w}{\partial t}  = y(e^t) +(x+z)*(cos(t))  - 3y*sin(3t)

6 0
4 years ago
Read 2 more answers
Twice the difference of a number and 2 is at least 24
Alexxx [7]

Answer:

2(x-2)≥ 24

Step-by-step explanation:

7 0
3 years ago
The probability of selecting an orange marble is 20%
zubka84 [21]

See there is no pink

So probability of selecting a pink is 0 .

The probability of orange is 20% or 0.2

The probability of purple is 30% or 0.3

As there is no color mentioned for rest part at max probability of pink is 0.5 .

  • But by now it's 0 as it's not mentioned
5 0
2 years ago
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