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3 years ago

Solve for m.

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

7 0

Answer:

Step-by-step explanation:

solve for m. ;)

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find the point-slope equation of the line perpendicular to the line y=2x+5 passing through the point (1,4). (please include solu

pishuonlain [190]

First off, let's keep in mind that perpendicular lines have negative reciprocal slopes, hmmm so what's the slope of y = 2x + 5?

well, notice, that equation is in slope-intercept form, thus $\bf y=\stackrel{slope}{2}x+5$ .

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}
{2\implies \stackrel{slope}{\cfrac{2}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{2}}}$

so, we're really looking for the equation of a line whose slope is -1/2 and runs through 1,4.

$\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad \qquad \qquad 
slope = m\implies -\cfrac{1}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-4=-\cfrac{1}{2}(x-1)$

7 0

3 years ago

Consider the function,

RUDIKE [14]

Answer:

If x= 4 then f(x) = 4x -5 is 11.

Step-by-step explanation:

f(x) = 4x -5

We need to find the domain value that corresponds to the output f(x) = 11

In this question, we need to solve the expression for value of x such that the answer is 11.

if x= 3

f(3) = 4(3) -5

= 12 -5

= 7

Since we want the answer 11 so we cannot take x= 3

if x = 4

f(4) = 4(4)-5

= 16 - 5

= 11

So, if x= 4 then f(x) = 4x -5 is 11.

5 0

3 years ago

Adding negative numbers 5+ (-4) =

anygoal [31]

Answer:

Step-by-step explanation:

Follow the signs rule:

IF:

There is a + sign, and the number directly next is +, add

There is a + sign, and the number directly next is -, subtract

There is a - sign, and the number directly next is +, subtract

There is a - sign, and the number directly next is -, add

In this case, there is a plus sign, and a negative sign, therefore, subtract:

5 + (-4) = 5 - 4 = 1

1 is your answer.

5 0

3 years ago

Find the sum:

ruslelena [56]

Answer:

Step-by-step explanation:

8 0

2 years ago

Write down the coordinates of the image of the point (2-3) under reflecting about the line joining the points (3, 5) and (3,7)

Murrr4er [49]

Answer:

(4 , -3)

Step-by-step explanation:

the points (3 , 5) and (3 , 7) have the same x-coordinates 3

then ,the line D joining them has the equation

D : x = 3

the image of the point A(2 , -3) under reflecting about The line D ,

lie on the line ∆ perpendicular to D and passes through A.

∆ perpendicular to D then the equation of ∆ is :

∆ : y = a ,where a is a real number.

Calculating ‘a’ :

∆ passes through A

Then

-3 = a

Therefore

the final equation of ∆ is :

∆ : y = -3

Obviously, the lines D and ∆ intersect at the point M(3 , -3)

FINAL STEP :

Calculating the coordinates of the point B(x , y) image of the point A(2 , -3)

M is the midpoint of the line segment AB :

Then

3 = (2 + x)/2 and -3 = (-3 + y)/2

Then

x = 4 and y = -3.

4 0

2 years ago