Add and Subtract mixed numbers. Find the sum or difference in simplest form. 31/2 - 1 1/2

Answer:

Step-by-step explanation:

2 plus 2 is four (4)

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:

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:

i think it is 12

Step-by-step explanation:

Answer:

1 is false

2 is blueprints

Step-by-step explanation:

Answer:

¯\_(ツ)_/¯

Step-by-step explanation:

Answer:

[tex]\displaystyle no[/tex]

Step-by-step explanation:

UT is shorter than WT, therefore you cannot use it on this triangle.

I am joyous to assist you at any time.

Answer:

B= 9/2 Hope this helped

Let's solve your equation step-by-step.

4(b−3)=6

Step 1: Simplify both sides of the equation.

4(b−3)=6

(4)(b)+(4)(−3)=6(Distribute)

4b+−12=6

4b−12=6

Step 2: Add 12 to both sides.

4b−12+12=6+12

4b=18

Step 3: Divide both sides by 4

The value of b in the expression 4(b - 3) = 6 is 4.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, 4(b - 3) = 6 and we have to solve for b.

4(b - 3) = 6.

4b - 12 = 6.                              (distributive law a(b+c) = ab + ac).

4b = 6 + 12.           (constants change sign when moved to the other sides).

4b = 16.

b = 16/4.

b = 4.

learn more about numerical expression here :

https://brainly.com/question/29199574

#SPJ2

Answer:

9^3 times 7^2

Step-by-step explanation:

Answer:

There's no such thing as BCF.

Step-by-step explanation:

[look above]

Answer:

3x²+(-27x) +0

Step-by-step explanation:

The given expression is :

x + 3x² – 28x

We need to solve this in the form of ax²+bx+c.

we can write the given expression as :

3x²-28x+x = 3x²-27x

= 3x²+(-27x) +0

If we compare the given expression with the general expression, we find that,

a = 3, b = -27 and c = 0

Hence, the required equation is 3x²+(-27x) +0.

Answer: 129

Step-by-step explanation: 43•3=129

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: 37.5 rounded it would be 38

Step-by-step explanation:

Answer:

307.88

Step-by-step explanation:

Answer:

x = 7.5

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and equals:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 2x from both sides of the equation:

10x (-2x) = 2x (-2x) + 60

10x - 2x = 60

8x = 60

Next, isolate the variable, x. Divide 8 from both sides of the equation:

(8x)/8 = (60)/8

x = 60/8

x = 7.5

x = 7.5 is your answer.

~

Answer:

its a

Step-by-step explanation:

i guessed on edge lol

Answer:

3/5

Step-by-step explanation:

Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Operations With Fractions

Evaluate the expression:

[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}[/tex]

The division of fractions is can be done by multiplying the fraction on the numerator by the reciprocal of the fraction on the denominator:

[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}=\frac{3}{4}\cdot\frac{4}{5}[/tex]

Simplifying:

[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}=\frac{3}{5}[/tex]

Answer: [tex]\frac{3}{5}[/tex]

Answer:

9.5-2.75=h

Step-by-step explanation:

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:

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:

Subtract 5x

Step-by-step explanation:

Cause then you would only get one x in the equation instead of 6x and 5x. Hope this helps!

Answer:

this is what i used as my answer on the advice i would give tucker for what to do as his first step.

Step-by-step explanation:

i would tell tucker to add 5 negative x-tiles because then he would be isolating the x variable and that would help him with not getting confused when gets to the part where he has to isolate the variable if he was to add 1 negative unit tile to both sides as his first step.

Either first step will isolate the variable.

Answer:

$40

Step-by-step explanation:

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

Answer:

um what

Step-by-step explanation:

Step-by-step explanation:

The magnitude of x is equal or less than 7.

=> We have |x| <= 7.