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Lady bird [3.3K]
3 years ago
10

Select all points that are on the graph of the line

Mathematics
1 answer:
Marysya12 [62]3 years ago
7 0

Answer:

0,3

Step-by-step explanation:

Well 0,3 is the only one that is on here... I apologize if I am wrong!

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Find the value of x and y​
KiRa [710]

Answer:

y=57 degrees and x=66 degrees

Step-by-step explanation:

123+57 =180 so angle y=57 degrees

57+57=114 all triangles = 180 degrees so 180-114=66 degrees=X

4 0
2 years ago
Cecilia needs to divide 378 guppies into 3 groups how many guppies will be in each group
Verdich [7]

Answer:

126

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
HELPP! Calculate S22 for the arithmetic sequence in which a12=2.4 and the common difference is d=3.4
Natalka [10]

Answer:

Option A is correct.

Value of S_{22} = 15.4

Step-by-step explanation:

Given: a_{12} = 2.4 and common difference(d) = 3.4

A sequence of numbers is arithmetic i.e,  it increases or decreases by a constant amount each term.

The sum of the nth term of a arithmetic sequence is given by;

S_n =\frac{n}{2}(2a+(n-1)d), where n is the number of terms, a is the first term and d is the common difference.

We also know the nth tern sequence formula which is given by ;

a_n = a+(n-1)d                             ......[2]

First find a.

it is given that a_{12} = 2.4

Put n =12 and d=3.4 in equation [2] we have;

a_{12} = a+(12-1)(3.4)

a_{12} = a+(11)(3.4)

2.4 = a + 37.4

Simplify:

a = - 35

Now, to calculate S_{22}

we use equation [1];

here, n =2 , a =-35 and d=3.4

S_{22} = \frac{22}{2}(2(-35)+(22-1)(3.4))

S_{22} = (11)(-70+21(3.4))

S_{22} = (11)(-70+71.4)

S_{22} = (11)(1.4)

Simplify:

S_{22} = 15.4

Therefore, the sum of sequence of 22nd term i.e, S_{22} = 15.4

8 0
3 years ago
Read 2 more answers
Please help me and explain please please
nydimaria [60]

Answer:

60 degrees.

Step-by-step explanation:

Each one of the four (spaces) are 90 degrees.

So 90-30 is 60

Hope this helps

5 0
3 years ago
Read 2 more answers
Consider the function on the interval (0, 2π). f(x) = sin x + cos x (a) Find the open intervals on which the function is increas
Annette [7]

Answer:Increasing in x∈(0,π/4)∪(5π/4,2π) decreasing in(π/4,5π/4)

Step-by-step explanation:

given f(x) = sin(x) + cos(x)

f(x) can be rewritten as \sqrt{2} [\frac{sin(x)}{\sqrt{2} }+\frac{cos(x)}{\sqrt{2} }  ]..................(a)\\\\\ \frac{1}{\sqrt{2} } = cos(45) = sin(45)\\\\

Using these result in equation a we get

f(x) = \sqrt{2} [ cos(45)sin(x)+sin(45)cos(x)]\\\\= \sqrt{2} [sin(45+x)]..........(b)

Now we know that for derivative with respect to dependent variable is positive for an increasing function

Differentiating b on both sides with respect to x we get

f '(x) = f '(x)=\sqrt{2}  \frac{dsin(45+x)}{dx}\\ \\f'(x)=\sqrt{2} cos(45+x)\\\\f'(x)>0=>\sqrt{2} cos(45+x)>0

where x∈(0,2π)

we know that cox(x) > 0 for x∈[0,π/2]∪[3π/2,2π]

Thus for cos(π/4+x)>0 we should have

1) π/4 + x < π/2  => x<π/4  => x∈[0,π/4]

2) π/4 + x > 3π/2  => x > 5π/4  => x∈[5π/4,2π]

from conditions 1 and 2 we have  x∈(0,π/4)∪(5π/4,2π)

Thus the function is decreasing in x∈(π/4,5π/4)

5 0
2 years ago
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