Solve each system of equations using substitution
Y=2x+3
5x-2y=-6

Answer:

The slope is 2

Step-by-step explanation:

Using slope formula (y2-y1)/(x2-x1):

(8-2)/(9-6)

(6)/3

2

Answer:

3

Step-by-step explanation: took test edge

Answer:

Step-by-step explanation:

Let the midpoint of PR be Q(-1,3) where P is (5,6). To get the other coordinate R, we will use the midpoint formula as shown;

Q(X,Y) = {(x₁+x₂)/2, (y₁+y₂)/2}

From the formula;

X = (x₁+x₂)/2 and Y = (y₁+y₂)/2

From the coordinates given, X = -1, Y = 3, x₁ = 5 and y₁ = 6. To get x₂ and y₂, we will substitute the given points into the expressions above;

To get  x₂;

X = (x₁+x₂)/2

-1 = (5+x₂)/2

cross multiply

-1*2 = 5+x₂

-2 = 5+x₂

subtract 5 from both sides

-2-5 = 5+x₂-5

x₂ = -7

Similarly to get y₂

Y = (y₁+y₂)/2

3 = (6+y₂)/2

cross multiply

3*2 = 6+y₂

6 = 6+y₂

subtract 6 from both sides

6-6 = 6+y₂-6

y₂ = 0

Hence the coordinate of R(x₂, y₂) is (-7,0)

3 dozen cookies require 201 cups of sugar, 21 teaspoon of salt, and 169.5 cups of peanuts.

An equation is an expression that is used to show the relationship between two or more variables and numbers.

2 dozen cookies require 134 cups of sugar, 14 teaspoon of salt, and 113 cups of peanuts.

Hence for 3 dozen cookies:

Amount of sugar = (134)/2 * 3 = 201

Amount of salt = (14)/2 * 3 = 21

Amount of peanuts = (113)/2 * 3 = 169.5

3 dozen cookies require 201 cups of sugar, 21 teaspoon of salt, and 169.5 cups of peanuts.

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Answer:

0.34%

Step-by-step explanation:

1. Start by representing the percentage with the variable, x %. Using x%, create an algebraic expression.

    29% X x = 3

2. Solve for x by dividing both sides by 29.

   29x divided by 29 =3 divided by 29.

             x=0.1034

3.Convert 0.1034 into a percentage by multiplying the decimal by 100%

             X =0.1034 x 100%

                  x=10.34%

Answer:440 beats

Step-by-step explanation:

The minutes cancel when you multiply.

Answer:

[tex]\boxed{14}[/tex]

Step-by-step explanation:

→ Remember multiplication occurs first

[tex]7+3*5-4*2=7+15-8[/tex]

→ Simplify the remaining expression

[tex]7+15-8=22-8=14[/tex]

Hey there! I'm happy to help!

Our angle is facing the 2 foot high landing. This is the opposite side of the angle. We also have the ramp, which is the hypotenuse. The sine is the opposite over the hypotenuse. Since we have these two, we find the [tex]sin^-^1[/tex] to give the the angle.

[tex]sin^-^1(2/24)=4.780191847....[/tex]

This angle is about 5 degrees and it is in compliance with the building code because it is not greater than 5 degrees.

Have a wonderful day! :D

Answer34.4

Step-by-step explanation:

Answer:

Answer 1: 1

Answer 2: 11

Answer 3: 5

by adding answers from 1 ,2 and 3

we get,

Answer 4: 17

Answer:

i believe your answer would be 5 and 3, FD

Step-by-step explanation:

Answer:

37.77

Step-by-step explanation:

P= PV x i / 1- (1+i)^-n

PV = 745

I = .1684 / 12 = .01403

N = 4 x 12 = 48

.19 x (365 x 9) = 624.53

21.4338469 x 48= 1028.12

624.53 / (624.53+1028.12) = 37.77

The  percentage of the lifetime cost of the refrigerator did the electricity make up is : d. 37.77%.

Using this formula

P= Pv x i / 1- (1+i)^-n

Where:

Present value = 745

Interest= .1684 / 12 = .01403

Number of months = 4 x 12 = 48

Hence:

Percentage=.19 x (365 x 9)/(.19 x (365 x 9)+(21.4338469 x 48)

Percentage=624.53 / (624.53+1028.12)

Percentage= 37.77%

Inconclusion the  percentage of the lifetime cost of the refrigerator did the electricity make up is : d. 37.77%.

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Answer:

the answer is D i hope this help

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

The answer to your question is 3a+2

Answer:

3a +2

Step-by-step explanation:

a(2a -3) +6(a -0.5) -(2a^2 -5)

rewrite to all show terms and operations:

a * (2a -3) + 6 * (a - 0.5) -1 * (2a^2 -5)

distribute:

2a^2 -3a +6a -3 -2a^2 +5

combine like terms:

-3a +6a -3 +5

3a+2

Answer:

[tex]x=-\frac{1}{3}\quad \mathrm{or}\quad \:x=\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\left|x\right|=\frac{1}{3}\\\\\mathrm{Apply\:absolute\:rule}:\\\quad \mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\\x=-\frac{1}{3}\quad \mathrm{or}\quad \:x=\frac{1}{3}[/tex]

Area of triangle = 1/2 × b × h

b = base and h = height

Area = 1/2 × (x+4) × (2)

Area of rectangle = lb

l = Length and b = Breadth

Area = 10 (x + 2)

Area = 10x + 20

The area of rectangle is 8 times greater than the area of the triangle.

According to the question,

10x + 20 = 8(x+4)

or, 10x + 20 = 8x + 32

or, 10x - 8x = 32 - 20

or, 2x = 12

or, x = 12/2 = 6

The value of x is 6.

Hence, Option D. 6 is correct.

Answer:

x = 6

Step-by-step explanation:

Area of rectangle = length * width

                             = 10 *(x +2)

                             = 10*x + 10*2

                             = 10x + 20   unit²

Area of triangle = [tex]\frac{1}{2}bh[/tex]

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

Area of rectangle  = 8*area of triangle

10x + 20 = 8* (x+ 4)

10x + 20 = 8x + 32           {Subrtact 20 from both sides}

        10x = 8x + 32 - 20

        10x = 8x + 12   {subtract 8x form both sides}

  10x - 8x = 12

         2x = 12     {divide both sides by 2}

      2x/2 = 12/2

          x = 6

Answer: B. M= 6

Step-by-step explanation:

4(6-1)-5=2(6)+3

The first part of the equation, 4(6-1)-5, 6-1 is 5 and then you multiply that 5 by 4 and get 20, and subtract 5 from 20 and get 15. The second part, 2(6)+3, 6 x 2 is 12 and then you add 3 which equals 15. 15=15 so the answer is correct

Answer:

3 and 4

Step-by-step explanation:

The answer is 3 and 4 because consecutive means one more than the previous number. Therefore, 3 + 1 = 4

Also, 3*4 = 12

Hope this helps!

Answer: 25 miles

Step-by-step explanation:

Divide total miles by total gallons.

100 / 4= 25 miles per gallon

Answer:

You earned 260$ before they taxed

Answer:

g = S - c

Step-by-step explanation:

Isolate the variable, g. Note the equal sign, what you do to one side, you do to the other. Simply subtract c from both sides:

S = g + c

S (-c) = g + c (-c)

S - c = g

g = S - c is your answer.

~

Answer:

971

Step-by-step explanation:

All we need to do is add.

293 + 678

971

Best of Luck!

Answer:

68+1

Step-by-step explanation:

Answer:

= 1963.5cm³

Step-by-step explanation:

radius=5

height=25

V=πr2h=π·52·25≈ 1963.49541cm³

The terminal point on the unit circle determined by π radians is (-1, 0).

To find the terminal point on the unit circle determined by π radians, we can use the properties of the unit circle.

The unit circle is a circle with a radius of 1 unit centered at the origin (0, 0) in a coordinate plane. The point on the unit circle determined by an angle θ is given by (cosθ, sinθ).

Since we want to find the terminal point determined by π radians, we can substitute π into the formulas for cosine and sine:

x = cos(π) = -1

y = sin(π) = 0

The terminal point on the unit circle determined by π radians is (-1, 0).

It's important to note that on the unit circle, π radians corresponds to half of the circumference of the circle. In other words, it represents a point on the circle that is diametrically opposite to the point (1, 0) which corresponds to 0 radians.

By understanding the relationship between angles and their corresponding points on the unit circle, we can easily determine the coordinates of terminal points for various angles.

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Answer:

11.2 feet

Step-by-step explanation:

The two furthest corners of the bed are at (8, 6) and (5, 10).  To determine which is the furthest from the origin, use the distance formula.

d = √((x₂ − x₁)² + (y₂ − y₁)²)

d = √((8 − 0)² + (6 − 0)²)

d = 10

d = √((x₂ − x₁)² + (y₂ − y₁)²)

d = √((5 − 0)² + (10 − 0)²)

d = 5√5

d ≈ 11.2

Therefore, the corner at (5, 10) is the furthest from the origin, about 11.2 feet away.

Answer:

The answer is 2.11~! I hope I helped <3

Step-by-step explanation:

3.5x2=7   7+9=16   1.4x2=2.8   10.4-2.8=7.6   16/7.6=2.10526315789

but we simplify so, 2.10526315789 rounded to the nearest hundredth is 2.11~!

Answer:

2.11

Step-by-step explanation:

I got it correct on the test