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2 years ago

Identify the slope of the line y−1=−6(x−3).

Mathematics

2 answers:

geniusboy [140]2 years ago

7 0

Answer:

The slope of the line is -5

olga nikolaevna [1]2 years ago

4 0

The slope is -6.

In the point-slope form, y - y1 = m(x - x1):

“(x1, y1)” represents (3, 1) coordinate
“m” represents the slope, -6

Therefore, the slope of the point-slope form, y - 1 = -6(x - 3), is -6.

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Which expression is a difference of squares with a factor of 2x + 5? 4x2 + 10 4x2 – 10 4x2 + 25 4x2 – 25

Shtirlitz [24]

Answer:

4x^2 -25

Step-by-step explanation:

The other factor of the difference of squares is the "conjugate" of the given one: (2x -5). Then their product is ...

(2x +5)(2x -5) = (2x)^2 -(5)^2 = 4x^2 -25

5 0

3 years ago

Read 2 more answers

5. 3x + 5y + 5z =1<br> x - 2y = 5<br> 2x + 4y = 11

lilavasa [31]

Answer:

see explanation

Step-by-step explanation:

Given the 3 equations

3x + 5y + 5z = 1 → (1)

x - 2y = 5 → (2)

2x + 4y = 11 → (3)

Use (2) and (3) to solve for x and y

Multiply (2) by 2

2x - 4y = 10 → (4)

Add (3) and (4) term by term

4x = 21 ( divide both sides by 4 )

x = $\frac{21}{4\\}$

Substitute this value of x into (3)

2 × $\frac{21}{4\\}$ + 4y = 11

$\frac{21}{2\\}$ + 4y = 11 ( subtract $\frac{21}{2\\}$ from both sides )

4y = $\frac{1}{2}$ ( divide both sides by 4 )

y = $\frac{1}{8\\}$

Substitute the values of x and y into (1) and solve for z

3 × $\frac{21}{4\\}$ + 5 × $\frac{1}{8\\}$ + 5z = 1

$\frac{63}{4}$ + $\frac{5}{8}$ + 5z = 1

$\frac{131}{8}$ + 5z = 1 ( subtract $\frac{131}{8}$ from both sides )

5z = - $\frac{123}{8}$ ( divide both sides by 5 )

z = - $\frac{123}{40}$

Solution is

x = $\frac{21}{4\\}$ , y = $\frac{1}{8\\}$ , z = - $\frac{123}{40}$

3 0

2 years ago

Evaluate the expression when c=4 and d=48. d-6c

Rama09 [41]

Answer:

Step-by-step explanation:

since c=4 and d=48, we can re-write this equation

48-6 x 4

48 - 24

5 0

2 years ago

The area of the triangle is 42 square inches. find the value of x when a = x and b = (x+8)

damaskus [11]

Answer:

6 and -14

Step-by-step explanation:

Area of the triangle = 1/2 ab

42 = 1/2 (x)(x+8)

42 *2 = x(x+8)

84 = x²+8x

x²+8x-84 = 0

x²+14x-6x-84 = 0

x(x+14)-6(x+14) = 0

x-6 = 0 and x+14 = 0

x = 6 and -14

Hence the values of x are 6 and -14

3 0

2 years ago

Find the slope of the line that passes through the given points. <br> (10,-15) (13,-17)

Studentka2010 [4]

M=-2/3

This is because it’s the slope I got and I don’t know how to explane it

4 0

2 years ago