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mash [69]
3 years ago
10

What is the slope of the line that passes through the points (3 -1) and (-2 -5)

Mathematics
1 answer:
natima [27]3 years ago
4 0
The slope is

(difference in y-values) / (difference in x-values)

= (-4) / (-5)

= 0.8
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Find the point (x1,x2) that lies on the line x1 +5x2 =7 and on the line x1 - 2x2 = -2.
Savatey [412]

Given :

Two equation x_1 +5x_2 =7 and x_1 - 2x_2 = -2 .

To Find :

The point of intersection of these lines .

Solution :

We will use elimination method :

From equation 1 :

x_1=7-5x_2

Putting value of x_1 in equation 2 we get :

(7-5x_2)-2x_2=-2\\\\7-7x_2=-2\\\\x_2=\dfrac{9}{7}

Putting value of x_2 in equation 1 we get :

x_1+5\times \dfrac{9}{7}=7\\\\x_1=\dfrac{4}{7}

Therefore , point of interaction is (\dfrac{4}{7},\dfrac{9}{7}) .

Hence , this is the required solution .

7 0
2 years ago
I’ll mark as BRANLIEST!!
Nitella [24]

Answer:

It does work.

Step-by-step explanation:

3 0
3 years ago
1. A piece of steel has a volume of 12 cm3<br> and a mass of 96g. What is its density?
Troyanec [42]

Answer:

it's density is 8 g /cm³

Step-by-step explanation:

Mass (m) = 96 g

Volume (v) = 12 cm³

Density (d) =?

We know density is defined as mass per unit volume so

d = m/v

= 96 / 12

= 8 g/cm³

Hope it will help :)

Note : if in the question it is said to write in sI system u have to write in kg/m³.

3 0
3 years ago
If 2x2 + y2 = 17 then evaluate the second derivative of y with respect to x when x = 2 and y = 3. Round your answer to 2 decimal
Vera_Pavlovna [14]

Answer:

y''=-1.26

Step-by-step explanation:

We are given that 2x^2+y^2=17

We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.

Differentiate w.r.t x

Then , we get

4x+2yy'=0

2x+yy'=0

yy'=-2x

y'=-\frac{2x}{y}

Again differentiate w.r.t.x

Then , we get

2+(y')^2+yy''=0 (u\cdot v)'=u'v+v'u)

2+(y')^2+yy''=0

Using value of y'

yy''=-2-(-\frac{2x}{y})^2

y''=-\frac{2+(-\frac{2x}{y})^2}{y}

Substitute x=2 and y=3

Then, we get y''=-\frac{2+(\frac{4}{3})^2}{3}

y''=-\frac{18+16}{9\times 3}=-\frac{34}{27}

Hence,y''=-1.26

6 0
3 years ago
24=6(-x-3) <br> in class need help
kherson [118]

Answer:

- 7

Step-by-step explanation:

6(- x - 3) = 24

-6x - 18 = 24

-6x = 24 + 18

-6x = 42

x = 42 ÷ - 6

x = - 7

5 0
2 years ago
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