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Kay [80]
2 years ago
15

What is the equation of a line that is perpendicular to -1 +3y=9 and passes through the point (-3, 2)?​

Mathematics
2 answers:
kati45 [8]2 years ago
6 0

Answer:

y-2 = 3/10(x+3)

Step-by-step explanation:

3y = 10

y = 10/3

looking for perpendicular so slope = 3/10

using the given point

y-2 = 3/10(x+3)

4vir4ik [10]2 years ago
5 0

Answer:

X=-3  

Step-by-step explanation:

Negative 1 plus 3y is equal to 9 so y is equal to negative 10/3 is a line parallel to the X-axis

So the line that's perpendicular to the X-axis and goes through the point negative 3,2 is x is equal to negative 3

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A square pyramid has a base length of 4 inches. The height of each triangular face is 12 inches. What is the surface area of the
Wittaler [7]

Answer:

The surface area of the given pyramid is 112 inches^{2}.

Step-by-step explanation:

Base length of the pyramid = 4 inches

Area of the base = length^{2}

                            = 4^{2}

                            = 16

Area of its base = 16 inches^{2}

Area of one of its triangular surface = \frac{1}{2} x base x height

                                 = \frac{1}{2} x 4 x 12

                                 = 2 x 12

                                 = 24 inches^{2}

Area of all its four triangular surfaces = 4 x 24

                                                       = 96 inches^{2}

surface area of the pyramid = sum of areas of all its surfaces

                                               = 16 + 96

                                       = 112 inches^{2}

The surface area of the given pyramid is 112 inches^{2}.

8 0
3 years ago
What is the distance between Harry’s home and his office?
Svetach [21]

Answer:

The distance between Harry’s home and his office? is 15 miles.

Step-by-step explanation:

The speed, distance time formula is:

Speed(s)=\frac{Distance(d)}{Time(t)}

Given:

Speed (<em>s</em>) = 30 miles/hour

Then the relation between distance and time is:

s=\frac{d}{t} \\30=\frac{d}{t}\\d=30t...(i)

If Speed was 60 miles/hour the time taken is (t-\frac{1}{4}) hours.

Then the relation between distance and time is:

s=\frac{d}{t} \\60=\frac{d}{(t-\frac{1}{4}) }\\d=60t-15...(ii)

Use the value of <em>d</em> = 30t in (ii)

<em />d=60t-15\\30t=60t-15\\30t=15\\t=\frac{1}{2} hour<em />

Determine the distance as follows:

d=30t\\=30\times\frac{1}{2} \\=15\ miles

Thus, the distance between Harry’s home and his office? is 15 miles.

5 0
3 years ago
If an object is dropped from a height of 96ft, the function h(t) = -62 + 96 gives the height of the object after t seconds. When
Shalnov [3]

Answer:

Step-by-step explanation:Since we want to know how much time elapsed since the object was launched until it ht the ground. At the ground, the height is 0.

 

Therefore the equation  h(t) = 80t – 16t2 becomes 0= 80t – 16t2

 

Solving the equation for t gives  80t =16t2 or 16t=80 or t=5sec

 

The object hits the ground 5 seconds after it is launched.

7 0
3 years ago
A process is normally distributed and in control, with known mean and variance, and the usual three-sigma limits are used on the
Aleks [24]

Answer:

Check the explanation

Step-by-step explanation:

Ans=

A: For m = 5: P(³≥1) = 1 – P(³=0) = 1 – 0.9973^5 = 0.0134

M = 10: 1 – 0.9973^10 = 0.0267

M = 20: 1 – 0.9973^20 = 0.0526

M = 30: 1 – 0.9973^30 = 0.0779

M = 50: 1 – 0.9973^50 = 0.126

18)

Ans=

Going by the question and the explanation above, we derived sample values of the mean as well as standard deviation in calculating our probability, since that is the necessary value in determining the probability of an out-of-bounds point being plotted. Furthermore, we would know that that value for the possibility would likely be a poor es²ma²on, cas²ng doubt on anycalcula²ons we made using those values

7 0
3 years ago
Ace Landscape buys 100 shovels for $15 each. Ace sells all 100 shovels at $29.99. What is his profit?
Yanka [14]
$29.99=$30
$30-$15=$15 
Ace's profit is $15
7 0
3 years ago
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