All categories

4 years ago

How do you find slope?

Mathematics

1 answer:

Tresset [83]4 years ago

5 0

Answer:

Step-by-step explanation:

If you try to find a line (linear) slope between two points (x,y) and (x',y')

the slope or ratio of change : m = difference of y / difference of x

or m= ( y - y') / (x - x')

In a linear equation like y = mx + b ... m is the slope

You might be interested in

Determine the area under the standard normal curve that lies to the left of (a) upper z equals 0.02 comma (b) upper z equals n

Anuta_ua [19.1K]

A) 0.50798
b) 0.42465
c) 0.35197
d) 0.040930

3 0

3 years ago

LMNO is a parallelogram, with and . Which statements are true about parallelogram LMNO? Select three options.

Soloha48 [4]

In the parallelogram, m∠M is equal to m∠O, and the sum of m∠M and

m∠N is 180°.

Response:

The true statements are;

<u>x = 11°</u>

<u>m∠N = 59°</u>

<u>m∠O = 121°</u>

<h3>Which property of parallelogram are used to find the true statements?</h3>

The possible drawing of the parallelogram LMNO created with MS Visio is attached.

From the drawing, we have;

m∠M = 11·x

m∠N = 6·x - 7

The properties of a parallelogram are;

Opposite angles are equal.

Adjacent angles are supplementary

Which gives;

11·x + 6·x - 7 = 180°

17·x = (180 + 7)° = 187°

$x = \mathbf{\dfrac{187^{\circ}}{17} }= 11^{\circ}$

m∠M = 11 × 11° = 121° = m∠O

m∠N = 6 × 11° - 7 = 59° = m∠L

Therefore;

The statements that are true are;

x = 11°

m∠N = 59°

m∠O = 121°

Learn more about the properties of a parallelogram here:

brainly.com/question/7697302

7 0

3 years ago

(1 point) (a) Find the point Q that is a distance 0.1 from the point P=(6,6) in the direction of v=⟨−1,1⟩. Give five decimal pla

natima [27]

Answer:

following are the solution to the given points:

Step-by-step explanation:

In point a:

$\vec{v} = -\vec{1 i} +\vec{1j}\\\\|\vec{v}| = \sqrt{-1^2+1^2}$

$=\sqrt{1+1}\\\\=\sqrt{2}$

calculating unit vector:

$\frac{\vec{v}}{|\vec{v}|} = \frac{-1i+1j}{\sqrt{2}}$

the point Q is at a distance h from P(6,6) Here, h=0.1

$a=-6+O.1 \times \frac{-1}{\sqrt{2}}\\\\= 5.92928 \\\\b= 6+O.1 \times \frac{-1}{\sqrt{2}} \\\\= 6.07071$

the value of Q= (5.92928 ,6.07071 )

In point b:

Calculating the directional derivative of $f (x, y) = \sqrt{x+3y}$ at P in the direction of $\vec{v}$

$f_{PQ} (P) =\fracx{f(Q)-f(P)}{h}\\\\$

$=\frac{f(5.92928 ,6.07071)-f(6,6)}{0.1}\\\\=\frac{\sqrt{(5.92928+ 3 \times 6.07071)}-\sqrt{(6+ 3\times 6)}}{0.1}\\\\= \frac{0.197651557}{0.1}\\\\= 1.97651557$

$\vec{v} = 1.97651557$

In point C:

Computing the directional derivative using the partial derivatives of f.

$f_x(x,y)= \frac{1}{2 \sqrt{x+3y}}\\\\ f_x (6,6)= \frac{1}{2 \sqrt{22}}\\\\f_x(x,y)= \frac{1}{\sqrt{x+3y}}\\\\ f_x (6,6)= \frac{1}{\sqrt{22}}\\\\f_{(PQ)}(P)= (f_x \vec{i} + f_y \vec{j}) \cdot \frac{\vec{v}}{|\vec{v}|}\\\\= (\frac{1}{2 \sqrt{22}}\vec{i} + \frac{1}{\sqrt{22}} \vec{j}) \cdot \frac{-1}{\sqrt{2}}\vec{i} + \frac{1}{\sqrt{2}} \vec{j}$

4 0

3 years ago

Eli has 8 black pens and 5 in his desk drawer. He also has 3 yellow highlighters, 4 green highlighters, and 5 pink highlighters

34kurt

Answer:

The answer is 15/52. (Please make me as brainliest (: )

7 0

3 years ago

Please help me I'm sooooo stressed!!!! plz help

mrs_skeptik [129]

Answer:

with what you didnt say what you needed help with

Step-by-step explanation:

8 0

3 years ago