Find the distance between M(4,−3) and N(−2,1) .

Step-by-step explanation:

6x° = (2x + 3)° + 77° (Exterior angle of a triangle = sum of two interior angle )

6x = 2x + 3 +77

subtract 2x from both sides

6x - 2x = 2x - 2x + 3 + 77

4x = 3 + 77

4x = 80

therefore:

x = 20°

angle PQR = 120°

angle RSQ = 43 i.e [(2 x 20) + 3)]

Answer:

2

Step-by-step explanation:

[tex]\frac{4}{6}[/tex] ÷ [tex]\frac{2}{6}[/tex]

= [tex]\frac{4}{6}[/tex] × [tex]\frac{6}{2}[/tex]

= 2

Answer: 68

Step-by-step explanation:

40 + 28 = 68

The difference of 28 and 68 is 40

Answer:

40 less than 68 is 12.

Step-by-step explanation:

Simple subtraction only. If you have 68 and you take away 40, you get 12. To check your answer you just add 40 + 12, and what do you get? 68.

Answer:

Step-by-step explanation:

Hey, i can't view the boxes well.

Count the boxes the trangle intersects in the base and use it as your base.

find the same with height.

After that find their Hypotenuse using the Pythagoras theory.

Then find the perimeter of the triangle by adding the two hypotenuse and base.

Answer:

y ≤ -2x + 30

y ≥ -x +20

y ≥ 18

2 hamburgers, 18 tacos

Step-by-step explanation:

8x+4y ≤ 120

x + y ≥ 20

y ≥ 18

Answer:

Simplifying

6x + 32 = 180

Reorder the terms:

32 + 6x = 180

Solving

32 + 6x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-32' to each side of the equation.

32 + -32 + 6x = 180 + -32

Combine like terms: 32 + -32 = 0

0 + 6x = 180 + -32

6x = 180 + -32

Combine like terms: 180 + -32 = 148

6x = 148

Divide each side by '6'.

x = 24.66666667

Simplifying

x = 24.66666667

6x + 32> -4

6x > -4 - 32

6x > -36

x > -6

Answer:

c  

Step-by-step explanation:  

There a is parallel to d because a is perpendicular to c and c is parallel to d which is the correct answer that would be option (C).

A group of points that are coplanar, or a planar surface that extends endlessly in all directions, are all located on the same plane. Four or more points may or may not be coplanar, however, any two or three points are always coplanar.

The distinct lines​ a, b,​ c, and d are in the same plane.

a⊥b, bllc, and clld

Line a is perpendicular to line b, line b is parallel to line c, and Line c is parallel to line d which is given in the question.

Line a is perpendicular to line b (given)

Line b is parallel to line c (given)

Line c is parallel to line d (given)

Thus, Line a is parallel to line d

Therefore, a is parallel to d because a is perpendicular to c and c is parallel to d.

Hence, the correct answer would be an option (C).

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Answer:

Either, (9+√69)/6 or (9-√69)/6

Step wise:

3x²-9x+1=0-------------------(i)

comparing equation onw with (ax²+bx+c=0), we get,

a=3, b=-9, c=1

now,

using Quadratic Formula,

(-b±√b²-4ac)/2a=x

{-(-9)±√(-9)²-4.3.1}/2.3=x

(9±√81-12)/6=x

(9±√69)/6=x

Taking +(ve) sign                   Taking -(ve) sign

(9+√69)/6=0                           (9-√69)/6=0

∴(9+√69)/6=0                         ∴(9-√69)/6=0

[∵They cannot be further solved]

The solutions to the given quadratic equation are x = 2.884 and

x = 0.116.

The equation of the form ax² + bx +c is known as a quadratic equation.

The given equation is 3x² - 9x + 1 =0.

Solve the equation as follows:

3x² - 9x + 1 =0

Use the quadratic formula to solve the equation:

[tex]x = \frac{-(-9)\pm\sqrt{(-9)^2-4(3)(1)}}{2(3)}\\\\x= \frac{9\pm\sqrt{81-12}}{6}\\\\x=\frac{9\pm\sqrt{69}}{6}\\\\x = \frac{9\pm8.306}{6}\\\\x=\frac{9+8.306}{6}\quad\text{ or }x=\frac{9-8.306}{6}\\\\x=2.884\quad\text{ or }x=0.116[/tex]

Hence, the solutions to the given quadratic equation are x = 2.884 and

x = 0.116.

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Answer: barney                     Robin

            70=3x+2y                  1x+4y=90

 if needed the shirts cost 10$ and the pants cost 20$ each

Answer: im thinking the answer is 9/8 cause if u multiply 3/8 by 3 , 3 goes to 3/1 as a fraction then u multiply 3/8 by 3/1 that is 9/8

Step-by-step explanation:

and i hope this is help full!

The distance ran by each person in the relay team is 1/8 miles

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Total number of members in the relay team = 3 members

Total distance covered by the 3 members of the relay team = 3/8 miles

Now the equation will be ,

The distance ran by each member of the team =
Total distance covered by the 3 members of the relay team / Total number of members in the relay team

So , The distance ran by each member of the team = ( 3/8 ) / 3

                                                                                     = 3/8 x 1/3

                                                                                     = 1/8 miles

Therefore ,  the distance ran by each member of the team is 1/8 miles

And , taking the sum of each person's distance , we get

1/8 + 1/8 + 1/8 = 3/8

which is the total distance covered by the 3 members

Hence , The distance ran by each person in the relay team is 1/8 miles

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Answer: C (c=12p + 75)

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

I know this because I'm a genius

The volume of a box in cubic inches = 13,824 cubic inches

The volume of a box in cubic feet = 8 cubic feet

The volume of a box = (length)(width)(height).

Give the following:

Length of the box = 8 feet

Width of the box = 4 feet

Height of the box = 3 inches

Convert the length and width to inches (1 foot = 12 inches)

Length of the box = 8 feet = (8)(12) = 96 inches

Width of the box = 4 feet = (4)(12) = 48 inches

Height of the box = 3 inches = 3/12 = 0.25 ft

The volume of a box in cubic inches = (96)(48)(3) = 13,824 cubic inches

The volume of a box in cubic feet = (8)(4)(0.25) = 8 cubic feet

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Answer:

1/3x + 1/2

Step-by-step explanation:

1/3x + 3/4 + 2/3x - 1/4 - 2/3x

Combine like terms

1/3x + 2/4

Simplify

1/3x + 1/2

Answer:

1/3x + 1/2

Step-by-step explanation:

Iready I checked it and it was right

                                                  7)

Given the line

[tex]y=-x+2[/tex]

We know that the slope-intercept form of the line equation is

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

here

m is the slope and b is the intercept

Thus, the slope = -1

We know that the parallel lines have the same. Thus, the slope of the parallel line is: -1

Using point-slope of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = -1 and the point (4, 0)

[tex]y-0 = -1 (x-4)[/tex]

Writing in the slope-intercept form

[tex]y = -x+4[/tex]

Thus, the slope-intercept form of the equation of the line equation parallel to y=-x+ 2 will be:

                                                      8)

Note: Your line is a little bit unclear. But, I am assuming the

ine is: y = -x-1

Given the assumed line

y = -x-1

We know that the slope-intercept form of the line equation is

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

here

m is the slope and b is the intercept

Thus, the slope = m = -1

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -1

perpendicular slope = – 1/m = -1/-1 = 1

Using point-slope of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = 1 and the point (4, 3)

[tex]y - 3 = 1 (x-4)[/tex]

Writing in the slope-intercept form

y-3 = x-4

y = x-4+3

y = x - 1

Thus, the slope-intercept form of the equation of the line equation perpendicular to y = -x-1 will be:

Answer:

x = -3

Step-by-step explanation:

4x - 8 = -4 (11 + 2x) (distribute the -4 to the numbers in the parenthesis)

4x - 8 = -44 + -8x (add 8x on both sides)

12x - 8 = -44 (add 8 on both sides)

12x = -36 (divide both sides by 12)

x = -3

Hope this helps ya!!

Answer:

The curve becomes more steeply upward because the runner is gradually building up speed.

Domain [0,11]

Range [0,100]

Answer: 11cm

Step-by-step explanation:

2(30)+2x=82

60+2x=82

2x=22

x=11

Answer: ok the first one is 45 i think and the second one is 7

Step-by-step explanation:

Answer:

(b) 52.3

Step-by-step explanation:

Given that,

Radius, r = 10

Angle, [tex]\theta=60^{\circ}[/tex]

We need to find the area of the sector. The formula for the area of the sector is given by :

[tex]A=\dfrac{\theta}{360}\pi r^2\\\\=\dfrac{60}{360}\times \dfrac{22}{7}\times (10)^2\\\\=52.3\ \text{unit}^2[/tex]

Hence, the correct option is (b).

Answer:

[tex]y=(x+1)^2-1[/tex]

which agrees with the last option listed.

Step-by-step explanation:

We use the vertex form of a parabola:

[tex]y-y_v=a(x-x_v)^2[/tex]

which with the information we have becomes:

[tex]y-y_v=a(x-x_v)^2\\y-(-1)_v=a(x-(-1))^2\\y=a(x+1)^2-1[/tex]

Therefore the equation that corresponds to such vertex (-1, -1) is the last one listed among your given answer options.

[tex]y=(x+1)^2-1[/tex]

Answer:

D

Step-by-step explanation:

Answer:

4+(x*4)

Step-by-step explanation:

Answer:

C. 4 + (x*4)

Step-by-step explanation:

The third expression does not belong with the other three.

This is because instead of multiplying the coefficient outside of the parentheses it adds, unlike the other three. As well as this instead of adding or subtracting in the parentheses it multiplies. It differs from the other three in those aspects.  

I hope this helps!!

- Kay :)

Answer:

One Solution

Step-by-step explanation:

Do distributive property

3k+6+3+7k=2k+4+3k

Combine like terms

10k+9=5k+4

Subtract 5k from 10k

5k+9=4

Subtract 9 from 4

5k=-5

Divide

k=-1

Hope this helped, Have a Wonderful Day!!

Answer:

21.56

Step-by-step explanation:

Answer:

M is used to represent the slope.

Step-by-step explanation:

Y = MX + C

Answer:

m is used to represent the slope

Step-by-step explanation:

y=mx+b

Answer:

B)12/5x7/4

Step-by-step explanation:

Please Branliest

Answer:

C

Step-by-step explanation:

edg 2023