Please solve if so thank you so much!!

Answer:

y=-[tex]\frac{1}{2}[/tex]x+[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

First, calculate the slope of the line that is perpendicular to the equation of line we are asked to find

m=(y2-y1)/(x2-x1)

  =(2-(-4))/(-2-1)

  =6/-3

  =-2

in this equation the slope is 2, and to find the first equation, use y=mx+b

use the point (1, -4) to find b

-4=(2)(1)+b

-4=2+b

b=-6

the first equation of the line is y=2x-6

to find the x intercept of that line substitute 0 for y

0=2x-6

2x=6

x=3

the slope of a line perpendicular to this would be the opposite reciprocal of the slope which would be equal to -1/2

for the second equation of the line to pass thorugh the x-intercept of the first line, it must pass through (3, 0), so substitute and solve for b

y=mx+b

0=(-1/2)(3)+b

b=3/2

thus the equation of the line that is perpendicular to the line through (1,-4) and (-2, 2) and passes through the x intercept of that line is y=-[tex]\frac{1}{2}[/tex]x+3/2

The equation of the line that is perpendicular to the line through (1,-4) and (-2,2) is [tex]y= \frac{1}{2}x+3[/tex]

The equation of the line perpendicular to the line passing through the points (x₁, y₁) and (x₂, y₂) is given as:

[tex]y-y_1=\frac{-1}{m} (x-x_1)[/tex]

The slope m is calculated using the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{2-(-4)}{-2-1} \\\\m=\frac{6}{-3} \\\\m=-2[/tex]

For the line passing through the points (1,-4) and (-2,2), substitute m = -2, x₁ = 1, and  y₁ = -4 into the equation [tex]y-y_1=\frac{-1}{m} (x-x_1)[/tex]

[tex]y-1=\frac{-1}{-2} (x-(-4))\\\\y-1=\frac{1}{2}(x+4)\\\\y=\frac{1}{2}x+2+1\\\\y= \frac{1}{2}x+3[/tex]

Learn more on equation of a line here: https://brainly.com/question/13763238

Answer:

Step-by-step explanation:

I'm not sure if you wanted the answer or not but here's the answer to that.

4.7z + 13y + 34/5

Answer:

Step-by-step explanation:

First find factors of 81

3 81

3 27

3 9

3 3

1

81 = 3×3×3×3

81 = 3^4

Taking squareroot

∴ -√81 = -√3^4

= -3^2

= -9

Answer:

9^3 times 7^2

Step-by-step explanation:

Answer:

1 is false

2 is blueprints

Step-by-step explanation:

Step-by-step explanation:

The magnitude of x is equal or less than 7.

=> We have |x| <= 7.

Answer:

3/9 is 1/3 but 4/9 is already simplified :D

if you are happy with my answer, please give brainliest :)

Step-by-step explanation:

Answer:

Area of triangle = 15 square units

Step-by-step explanation:

We need to find area of the triangle, given the vertices:

A=(4,0)

B=(1,5)

C=(7,5)

The formula used is: [tex]Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))[/tex]

We have: [tex]x_1 =4, y_1 =0, x_2 =1, y_2=5, x_3=7 , y_3=5[/tex]

Putting values and finding area

[tex]Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))\\Area\:of\:triangle=\frac{1}{2}(4(5-5)+1(5-0)+7(0-5))\\Area\:of\:triangle=\frac{1}{2}(4(0)+1(5)+7(-5))\\Area\:of\:triangle=\frac{1}{2}(0+5-35)\\Area\:of\:triangle=\frac{1}{2}(-30)\\Area\:of\:triangle=-15[/tex]

We will be ignoring negative sign, because area of triangle is positive.

So, Area of triangle = 15

9514 1404 393

Answer:

  circle of radius 27 inches

Step-by-step explanation:

Anywhere a plane cuts a sphere, the cross section is a circle. When the plane includes the center of the sphere, the circle has the same radius the sphere has.

The cross section is a circle of radius 27 inches.

Answer:

a) the required probability is 0.0013

b) the required probability is 0.0288

c) the required probability is 0.9759

Step-by-step explanation:

Given the data in the question;

let x be the thickness measurements

Given that X follows a Normal distribution with mean μ = 5.4

standard deviation σ = 0.8

then z = x-μ / σ = x-5.4 / 0.8   follows standard Normal

a) probability that the thickness is less than 3.0 mm

P( x<3 ) = P( x-5.4 / 0.8  <  3-5.4 / 0.8 ) = P( Z < -3.00 ) = 0.0013

Therefore, the required probability is 0.0013

b) the thickness is more than 7.0 mm

P( x>7 ) = P( x-5.4 / 0.8  >  7-5.4 / 0.8 ) = P( Z > 2.00)

= 1 - P( Z ≤ 2)

= 1 - 0.9772

= 0.0288

Therefore, the required probability is 0.0288

c) the thickness is between 3.0 mm and 7.0 mm

P(3< x<7 ) = P( x<7) - P(x<3)

= P( x-5.4 / 0.8  >  7-5.4 / 0.8 )  - P( x-5.4 / 0.8  <  3-5.4 / 0.8 )

= P( Z< 2 ) - P( Z < -3)

= 0.9772 - 0.0013

= 0.9759

Therefore, the required probability is 0.9759

Answer:

? What M? What is impossible?

9514 1404 393

Answer:

  (a)  see below

Step-by-step explanation:

The graph that has no two points one above the other is the graph of a function. That is the first of your attachments.

Answer:

29 i think

Step-by-step explanation:

pythagoreon thereom is a^2+b^2=c^2 so c^2 being the hypotneuse you would do 2*2=4 +5*5=25 and 4+25=29

Answer:

I think c but I'm not sure

Answer:

C: (-3,6)

Step-by-step explanation:

add both equations

5x+2x+2y-2y=-15+(-6)

7x=-21

x=-3

input x=3 into any equation in system and solve for y

2(3)-2y=-6

-2y=-12

y=6

solution: (-3, 6)

Answer:

There is not enough information to tell the answer to this problem.

Step-by-step explanation:

sorry

Answer:

Sorry but I cant solve this bc there is not enough info

Step-by-step explanation: :/

Answer:

um what

Step-by-step explanation:

Answer:

$40

Step-by-step explanation:

30 divided by 3 is 10 so 4 multiplied by 10 is $40

Answer:

We conclude that the equation of the line is:

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given the data table

x      -3 -5 -7 -9 -11

y      -16 -26 -36 -46 -56

From the table taking two points

Determining the slope between (-3, -16) and (-5, -26)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)[/tex]

[tex]m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}[/tex]

[tex]m=5[/tex]

Thus, the slope of the line is:  m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

[tex]y = mx+b[/tex]

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

[tex]y = 5x + 1[/tex]

Therefore, we conclude that the equation of the line is:

Answer:

[tex]r=11[/tex]

Step-by-step explanation:

The equation of a circle is commonly denoted as:

[tex](x-h)^2+(y-k)^2=r^2[/tex], where [tex](h, k)[/tex] is the center of the circle.

This equation is already written in that format, therefore:

[tex]r^2=121,\\r=\fbox{$11$}[/tex],

Answer:

307.88

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hope it helps!

Answer:

-1 and 1/7

Step-by-step explanation:

hope this helps! have a great day!

Answer: 1,152 toys can be stored in the box.

Step-by-step explanation:

For an object with measures L (length) by W (width) by H (height) the volume is calculated as:

V = L*W*H

We know that the measures of each toy are: 4in x 3in x 3in

Then the volume of each toy is:

V = 4in*3in*3in = 36in^3

The toy box is 4ft x 2ft x 3 ft

First we should write the measures in the same units as before, we know that:

1ft = 12 in.

Then:

4ft = 4*12 in = 48 in

2ft = 2*12in = 24in

3ft = 3*12in = 36in

Then the measures of the box are:

48in x 24in x 36in

Then the volume of the box is:

V = 48in*24in*36in = 41,472 in^3

Now, the number of toys that can be stored in the box is the same as the number of times that  36in^3 is in 41,472 in^3

this is equal to the quotient between 41,472 in^3 and 36in^3

N = 41,472 in^3/36in^3 = 1,152

1,152 toys can be stored in the box.

Answer:

9.5-2.75=h

Step-by-step explanation:

Answer:

i think it is 12

Step-by-step explanation:

Answer:

24x – 18

6(4x-3)is required factor.

Answer:

1.17 x 10^2

Step-by-step explanation:

Im pretty sure its right

Answer: 129

Step-by-step explanation: 43•3=129

Answer:

Not equivalent.

Step-by-step explanation:

The given equations are :

7v-3/2=5 ....(1)

14v-3=15 ....(2)

Taking equation (1) first,

7v-3/2=5

Adding 3/2 to both the sides.

7v-3/2+3/2=5+3/2

7v = 6.5

v = 0.928

Taking equation (2).

14v-3=15

Adding 3 to both sides.

14v-3+3=15+3

14v=18

v = 1.285

So, the values of v in both equations ar not the same. It means two equations are not equivalent.