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Bas_tet [7]
3 years ago
6

What is the equation of the line parallel to 3x + 5y = 11 that passes through the point (15,4)?​

Mathematics
1 answer:
bixtya [17]3 years ago
6 0

Answer:

Step-by-step explanation:

3x + 5y = 11

5y = - 3x + 11

y =  -3x/5 + 11/5

Slope = -3/5

The required line is parallel to this line,  So required line's slope= -3/5

(15,4)

y-y1 = m(x-x1)

y - 4 = -3/5 (x - 15)

y -4 = -3x/5 + 15*3/5

y - 4 = -3x/5 + 9

y = -3x/5 + 9 +4

y = -3x/5 + 13

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Ray Of Light [21]
This is an arithmetic series, so we know, that:

Sum = (First term + Last term) * Number of terms /2

Here we have:

First term = 33
Last term = 104
Number of terms = 104 - 33 + 1 = 72

and

S=(33+104)\cdot\dfrac{72}{2}=137\cdot36=\boxed{4932}
6 0
4 years ago
97.57349 rounded to four decimal places is
Umnica [9.8K]

Answer:

97.5735

Step-by-step explanation:

7 0
3 years ago
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Use substitution to solve the linear system of equations. (-8, -2) (8, -2) (-2, 8) (-2, -8).
Mamont248 [21]

The solution of the system of equation is (-8, -2).

Given that,

Use substitution to solve the linear system of equations.

y = 4x

3x + 5y = -46

We have to determine,

Solve the equation using the substitution method.

According to the question,

The given system of equation is,

\rm y = 4x\\\\3x + 5y = -46

Substitute y = 4x in the equation 2,

\rm 3x+5y = -46\\\\3x+5(4x) =-46\\\\3x+20x=-46\\\\23x=-46\\\\x =\dfrac{-46}{23}\\\\x = -2

Substitute the value of x in equation 1,

\rm y = 8x\\\\y = 8(-2)\\\\y = -16

Hence, The solution of the system of equation is (-8, -2).

For more details refer to the link given below.

brainly.com/question/3144348

4 0
2 years ago
I need help‼️‼️‼️‼️‼️
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Answer:

C angle 2

Step-by-step explanation:

Supplementary angles add to 180 degrees (or form a straight line)

The angles that form a straight line line angle 4   are either 2 or 3

3 0
4 years ago
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F(x) = x + 5 If you know that the range is {0, 10}, then... The domain must be ??
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Answer:

domain {- 5, 5 }

Step-by-step explanation:

given values in the range, that is values of y then to find the domain equate f(x) to the given values in the range, that is

x + 5 = 0 ⇒ x = - 5

x + 5 = 10 ⇒ x = 10 - 5 = 5

domain is x ∈ { - 5, 5 }



4 0
3 years ago
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