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kow [346]
2 years ago
14

Find the slope of a line parallel to a line containing points (3,-5) and(1,7)

Mathematics
1 answer:
schepotkina [342]2 years ago
7 0

Answer:

Required slope = - 6

Step-by-step explanation:

Parallel lines have same slope.

(x₁ , y₁) = (3 , -5)      &  (x₂ , y₂) = (1, 7)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

        = \frac{7 - [-5]}{1-3}\\\\=\frac{7+5}{1-3}\\\\=\frac{12}{-2}\\\\= -6

Slope of the a line parallel to a line  = -6

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In a 45-45-90 triangle, the hypotenuse is 7, find both the legs
Nadya [2.5K]

Answer: If the hypotenuse is 7, the other 2 sides are \sqrt{24.5} 0r about = 4.95

Step-by-step explanation:  in a 45-45-90 triangle, the legs are equal.

a² + b² = c² .   2(a²) = 49  a² = 49/2

So find the square root of 24.5

\sqrt{24.5}   =4.949747468 .round to 4.95

7 0
2 years ago
The product of 2 consecutive positive odd integers is 483. Write the equation that would be used to find x, the smaller integer.
Montano1993 [528]

Answer: 21

Step-by-step explanation:

Let the consecutive odd numbers be represented by x and x+2. Therefore,

x × (x+2) = 483

x² + 2x = 483

x² + 2x - 483 = 0

x² + 23x - 21x - 483 = 0

x(x + 23) - 21(x + 23) = 0

(x - 21) = 0

x = 0 + 21

x = 21

The smaller integer is 21

The larger integer is 21 + 2 = 23.

5 0
2 years ago
Suppose 3 plss helppp<br> ?
lord [1]
???? what is the question
6 0
1 year ago
The following list details the numbers of tickets sold for a talent show grade 9:22; grade 10:32; grade 11: 41; and grade 12:30.
Montano1993 [528]

Answer: C. domain: {9, 10, 11, 12); range: (22, 32, 41, 30)

Step-by-step explanation:

The data set is:

(9, 22)

(10,32)

(11, 41)

(12, 30).

In the usual notation, the number at the left is the input (belons to the domain) and the number in the right is the output (belongs to the range).

Then the domain would be:

{9, 10, 11, 12}

and the range:

{22, 32, 41, 30}

The correct option is C

7 0
3 years ago
Divide twice the variable p by the product of 5 and q
Law Incorporation [45]

Answer:

Step-by-step explanation:Solution :

Given variable = p

According to the problem given ,

Twice the variable p divided by the

product of 5 and q

= ( 2p )/ ( 5q )

= 2p/5q

5 0
3 years ago
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