Can u guys help me find the value of w pls :)

The slope-intercept form given (6,-5) & perpendicular to -5x - 7y = -17.

tatuchka [14]

Answer:

$y=\dfrac{7}{5}x-\dfrac{67}{5}$

Step-by-step explanation:

Slope-intercept form of a linear equation:

$y=mx+b$

where:

m is the slope.
b is the y-intercept.

Rearrange the given equation so that it is in slope-intercept form:

$\implies -5x-7y=-17$

$\implies -7y=5x-17$

$\implies y=-\dfrac{5}{7}x+\dfrac{17}{7}$

Therefore, the slope of the given equation is -⁵/₇.

If two lines are perpendicular to each other (at right angles), the product of their slopes will be -1. Therefore, their slopes will be negative reciprocals of each other.

Therefore, the slope of the line perpendicular to the given equation is:

$\sf m=\dfrac{7}{5}$

Substitute the found slope and the given point (6, -5) into the slope-intercept formula and solve for b:

$\implies -5=\dfrac{7}{5}(6)+b$

$\implies -5=\dfrac{42}{5}+b$

$\implies b=-\dfrac{67}{5}$

Substitute the found slope and the found value of b into the slope-intercept formula to create the equation for the perpendicular line:

$\implies y=\dfrac{7}{5}x-\dfrac{67}{5}$

Learn more about slope-intercept form here:

brainly.com/question/27317293

brainly.com/question/27926846

8 0

2 years ago

i need you to explain your answer and show your work for me to have all 5 points! thank you so much and i hope you have a great

viktelen [127]

Answer:

42 cm ^2

Step-by-step explanation:

The area of a triangle is 1/2 B x H ( one half base times height)

The base is 6 cm and the height is 14 cm. So the full equation now is

1/2 (6) (14)

First you multiple 6 times 14 which is 84. Next you just divide it by 2 because 1/2 is half of the number. 84 divided by 2 is 42. So your answer is

42 cm ^2 (centimetres squared)

3 0

3 years ago

Evaluate the following geometric series

tensa zangetsu [6.8K]

could i have a better photo im sorry its too blurry i cant see the numbers

3 0

3 years ago

Dave has 85p ellie has £1.43 How much should ellie give to dave so that they both have the same amount of money

Katen [24]

Answer:

29p

Step-by-step explanation:

Money available with Dave = 85p

Money available with Ellie = £1.43

To find:

How much money should Ellie given to Dave so that they both have the same amount of money?

Solution:

First of all, let us convert £ to p.

1 £ = 100p

1.43£ = 143p

Let number of 'p' that Ellie has to give to Dave so that they have equal amount of money = $x$ p

Money left with Ellie after giving $x$ p to Dave = (143 - $x$ )p

Money with Dave after taking $x$ p from Ellie = (85 + $x$ )p

As per question statement, money with both of them is same.

i.e.

$143-x=85+x\\\Rightarrow 2x=143-85\\\Rightarrow 2x = 58\\\Rightarrow x = \bold{29p}$

Therefore, Ellie should give 29p to Dave so that they have same amount of money.

They both will have 1.14£ or 114p each.

8 0

3 years ago

37.6 x ???=3760

ziro4ka [17]

Answer:

The "what" is 100

Step-by-step explanation:

Rewrite this as 37.6y = 3760 and set out to determine y:

y = 3760/37.6 = 100

The "what" is 100

5 0

2 years ago