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shepuryov [24]
3 years ago
11

Which equation describes the same line as y-3=-1(x+5)

Mathematics
2 answers:
kaheart [24]3 years ago
8 0
Y=-x-2

y-3=-1(x+5)
y-3=-x-5
y=-x-2
Ivahew [28]3 years ago
7 0

Answer:

y = -x - 2

Step-by-step explanation:

y-3=-1(x+5)

Expand.

y - 3 = -1x - 5

Add 3 on both parts.

y - 3 + 3 = -1x - 5 + 3

y = -1x - 2

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Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard devia
lesya692 [45]

Answer: P(x > - 0.23) = 0.41

Step-by-step explanation:

Since we are assuming that the readings at freezing on a batch of thermometers are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the readings at freezing on a batch of thermometers.

µ = mean temperature reading

σ = standard deviation

From the information given,

µ = 0°C

σ = 1.00°C

the probability of obtaining a reading less than -0.23°C is expressed as

P(x > - 0.23)

For x = - 0.23

z = (- 0.23 - 0)/1 = - 0.23

Looking at the normal distribution table, the probability corresponding to the z score is 0.41

7 0
3 years ago
(a) An angle measures 140 . What is the measure of its supplement? (b) An angle measures 36 . What is the measure of its complem
Lesechka [4]
A: 40 because supplements add up to 180
B: 54 because complements add up to 90
6 0
4 years ago
The edges of a cube increase at a rate of 2 cm divided by s. How fast is the volume changing when the length of each edge is 40
Dmitry_Shevchenko [17]

Answer:

Step-by-step explanation:

Let the edge of the cube be a .

Given

\frac{da}{dt} = 2 cm/s

Volume V = a³

\frac{dV}{dt} = 3a^ 2\frac{da}{dt}

= 3a² x 2

= 6a²

If a = 40 cm

\frac{dV}{dt} = 6 \times 40\times40

= 9600 cm³/s .

5 0
3 years ago
In sunlight, a vertical stick has a height of 4 ft and casts a shadow 2 ft long at the same time that a nearby tree casts a shad
marshall27 [118]
Remark
Make up a proportion that relates the tree and its properties to the stick and its properties.

Givens
Stick height (s_h) = 4
Stick shadow(s_s) = 2
Tree shadow = t_s = 18
Tree height = x

Formula
s_h / s_s = x / t_s

Substitute and solve.
4/2 = x / 18  Cross multiply
4*18 = 2 * x
72 = 2x        Divide by 2
72/2 = x       
x = 36

The height of the tree is 36 feet.     
6 0
3 years ago
1/2 x 2/4 x 3/6 x 4/8 x 5/10 x 6/12 simplified
Talja [164]

Answer: 3

Step-by-step explanation: Because, 1/2=2/4=3/6=4/8=5/10=6/12 are all the same. You can test is out by simply factoring out the biggest factor on both sides. For example, 2/4 can be simplified to 1/2, because 2/4=(2/2)/(4/2) you can divide both sides by two. Hope this helps, <3!

8 0
3 years ago
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