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4 years ago

The sum of two consecutive whole numbers is 25

Mathematics

1 answer:

Sladkaya [172]4 years ago

5 0

The two numbers, lets say x and y, are 12 and 13 because 12 + 13 = 25 and they are consecutive whole numbers

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Translate “4 less than five times a number is –11” into a mathematical equation.

hram777 [196]

4 less than five times a number is -11:
5x - 4 = -11

8 0

4 years ago

Are two lines parallel, perpendicular or neither 3x+7y=15 and 7x-3y=6

maw [93]

Answer:

The lines are perpendicular

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are equal

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

we have

$3x+7y=15$ ----> equation A

isolate the variable y

$7y=-3x+15$

Divide by 7 both sides

$y=-\frac{3}{7}x+\frac{15}{7}$

The slope of the line A is $m_A=-\frac{3}{7}$

$7x-3y=6$ ----> equation B

isolate the variable y

$3y=7x-6$

Divide by 3 both sides

$y=\frac{7}{3}x-2$

The slope of the line B is $m_B=\frac{7}{3}$

Compare the slope of both lines

$m_A=-\frac{3}{7}$

$m_B=\frac{7}{3}$

$m_A \neq m_B$ ----> the lines are not parallel

Find the product of the slopes

$-\frac{3}{7}(\frac{7}{3})=-1$ ----> the lines are perpendicular

4 0

4 years ago

The vertices of a parallelogram are shown below.

OleMash [197]

The vertices for the dilated image can be found by multiplying the coordinates of the original image by the scale factor. In this problem, the scale factor is 1/3.

(0,0) ⇒ 0 x 1/3 = 0 ; 0 x 1/3 = 0 ⇒ (0,0)
(27,0) ⇒ 27 x 1/3 = 9 ; 0 x 1/3 = 0 ⇒ (9,0)
(36,30) ⇒36 x 1/3 = 12 ; 30 x 1/3 = 10 ⇒ (12,10)
(9,30) ⇒ 9 x 1/3 = 3 ; 30 x 1/3 = 10 ⇒ (3,10)

Answer is choice D. (3,10)

4 0

3 years ago

Let L: R2 --> R2 be a linear operator.If L((1,2)T) = (-2,3)Tand L((1,-1)T) = (5,2)TFind the value of L((7,5)T

devlian [24]

Answer: L((7,5)T)=(7, 18)T

Step-by-step explanation:

The step by step explanation is given in picture.