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natulia [17]
3 years ago
9

30. Write an equation in point-slope form for the line through the given point with the given slope.

Mathematics
1 answer:
Aleks [24]3 years ago
7 0

Answer:

y-6=3/4(x+4)

Step-by-step explanation:

y-y1=m(x-x1)

y-6=3/4(x-(-4))

y-6=3/4(x+4)

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Determine if the sequence is arithmetic. If it is, find the common difference. Is the sequence a function ?
BaLLatris [955]
6)\\r=a_{n+1}-a_n\to r=a_2-a_1=a_3-a_2=a_4-a_3=...\\\\a_1=-7;\ a_2=-10;\ a_3=-11;\ a_4=-13\\\\a_2-a_1=-10-(-7)=-10+7=-3\\a_3-a_2=-11-(-10)=-11+10=-1\\\\a_3-a_2\neq a_2-a_1\\\\\text{It's not an arithmetic sequence}


\r=\dfrac{a_{n+1}}{a_n}\\\\r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...\\\\8.)\\a_1=4;\ a_2=20;\ a_3=100;\ a_4=500\\\\r=\dfrac{20}{4}=\dfrac{100}{20}=\dfrac{500}{100}=5\\\\10.)\\a_1-30;\ a_2=-45;\ a_3=-50;\ a_4=-65\\\\\dfrac{a_2}{a_1}=\dfrac{-45}{-30}=\dfrac{3}{2}\\\\\dfrac{a_3}{a_2}=\dfrac{-50}{-45}=\dfrac{10}{9}\\\\\dfrac{a_2}{a_1}\neq\dfrac{a_3}{a_2}\\\\\text{It's not a geometric sequence}
12.)\\a_1=-7;\ a_2=-14;\ a_3=-21;\ a_4=-28\\\\\dfrac{a_2}{a_1}=\dfrac{-14}{-7}=2\\\\\dfrac{a_3}{a_2}=\dfrac{-21}{-14}=\dfrac{3}{2}\\\\\dfrac{a_2}{a_1}\neq\dfrac{a_3}{a_2}\\\\\text{It's not a geometric sequence}\\\\\text{It's a function}


8 0
2 years ago
Please help I need it please please
Anni [7]

Answer:

23 %

Step-by-step explanation:

151.34 ÷ 658 × 100

hope this helps

have a nice day <3

6 0
2 years ago
Read 2 more answers
PLZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPP ASAPPP
gulaghasi [49]

Answer:

Step-by-step explanation: 50 km is 36.1 km more than 13.9.

Hope this helps !

-Carrie

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Two people are standing on opposite sides of a hill. Person A makes an angle of elevation of 65° with the top of the hill and pe
8090 [49]

Answer:

Option 3. 71 ft. is the distance between B and top of the hill.

Step-by-step explanation:

Let the height of the hill is h ft and the distance of A from the hill be x ft and distance from B to hill is y.

It is given distance between A and B is 45 ft. ∠BAO = 65° and ∠ABO = 80°.

We have to find the distance of B from the top of the hill.

Now from ΔACO tan 65 = \frac{h}{45-x} = 2.14

h=2.14(45-x)

From ΔBCO tan80 = \frac{h}{x} = 5.67

h = 5.67x

Now h = 5.67x = 2.14(45-x)

5.67x = 96.3 - 2.14x

2.14x + 5.67x = 96.3

7.81x = 96.3

x = 96.3/7.81 = 12.33 ft

Therefore cos80 = \frac{x}{OB}

0.174 = \frac{12.33}{OB}

OB = \frac{12.33}{.174}=70.86=71ft.

Therefore 71 ft is the distance between B and the top of the hill.

3 0
3 years ago
What number is 30% of 150
mrs_skeptik [129]
Find 30% of 150.  To do this, mult. 150 by 0.30.  Result:  45.
8 0
3 years ago
Read 2 more answers
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