through: (-2,-2), slope = 1/2

Write the slope-intercept form of the equation of the line through the given point with the given slope.​

Answers

Answer 1

Answer:

The answer is

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

Step-by-step explanation:

To find an equation of a line given a point and slope we use the formula

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

where

m is the slope

( x1 , y1) is the point

From the question the point is (-2,-2) and slope = 1/2

The equation of the line is

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

We have the final answer as

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

Hope this helps you


Related Questions

The perimeter of the equilateral triangle shown is 67.5 inches. Write and solve an equation to find the value of x.

Answers

Answer:

The answer is 14. Not -14.

Step-by-step explanation:

The value of x for the given triangle will be 14.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that the perimeter of the equilateral triangle shown is 67.5 inches. One side of the triangle is 1.75x - 2.

Perimeter = 3 ( 1.75x - 2 )

67.5 = 5.25x -6

x = ( 73.5 / 5.25 )

x = 14

Therefore, the value of x for the given triangle will be 14.

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2(b + v) = X
solve for b

Answers

Answer:

b = x/2 - v

Step-by-step explanation:

2(b+v) = x

b + v = x/2

b = x/2 - v

Select the decimal that is equivalent to 2/3

Answers

.6666666667 that is a equivalent decimal

Answer:

0.66666667 or 0.6

Step-by-step explanation:

if you put [tex]\frac{2}{3}[/tex] in a calculator and convert it, it would display

0.6666 with infinite sixes.

you can also write it as:

0.6

ps ;; you would do this for any fraction, then round it.

Which value has only 4 significant digits? a. 6.930 b. 8450 c. 0.392 d. 0.0450

Answers

Answer:

A 6.930

Step-by-step explanation:

Bonjour je suis en 3 ème pouvez vous m'aider s'il vous plaît une voiture met 2 h 30 pour faire 200 km 1. Calculer sa vitesse moyenne en km/h 2. Calculer la distance parcourue en a ) 3h 15 b) 42 min c) 3h 36 min 3. Calculer le temps mis pour parcourir 540 km

Answers

Répondre:

Explication étape par étape:

Vitesse = Distance / Temps

Distance donnée = 200 km

Durée = 2 h 30

Convertir le temps en heures

Depuis 60 minutes = 1h

2 heures 30 minutes = 2+ (30/60)

2h30 = 2 + 1/2 hors

2 heures 30 minutes = 2,5 heures

Vitesse en km / h = 200 km / 2,5 h

Vitesse en km / h = 80 km / h

D'où sa vitesse moyenne en km / h est de 80 km / h

a) Distance = Vitesse * Temps

Vitesse donnée = 80 km / h

Durée = 3h15

Temps = 3 15/60 h

Durée = 3,25 h

Distance = 80 * 3,25

Distance parcourue en 3h15 = 260 km

b) Distance = Vitesse * Temps

Vitesse donnée = 80 km / h

Durée = 42 minutes

Durée = 42/60 h

Distance = 80 * 42/60

Distance = 3360/60

Distance = 56 km

Distance parcourue en 42 minutes = 56 km

c) Distance = Vitesse * Temps

Vitesse donnée = 80 km / h

Durée = 3 h 36 minutes

Temps = 3 36/60 h

Durée = 3,6 h

Distance = 80 * 3,6

Distance = 288 km

Distance parcourue en 3 h 36 min = 288 km

d) Distance donnée = 540 km

Vitesse = 80 km / h

Temps = Distance / Vitesse

Heure = 540/80

Temps = 6,75 heures

Par conséquent, le temps nécessaire pour parcourir 540 km est de 6,75 heures

can anyone help thanks

Answers

Answer:

x = 8, -4

Step-by-step explanation:

2x-4-6=6; therefore, x = 8

2x-4=-12; therefore, x = -4

Simplify s^12t^8/s^4t^4.

Answers

Answer:

2t^12/s^3

Step-by-step explanation:

What is the value of x in the equation below?

6 (x minus 8) = 72

Answers

Answer:

[tex]x = 20[/tex]

Step-by-step explanation:

[tex]6(x - 8) = 72 \\ 6x - 48 = 72 \\ 6x = 120 \\ x = 20[/tex]

Answer:

The correct answer is c. 20

2x + 3 = 7
I'm confused​

Answers

The answer is x=2

move all terms that dont contain x to the right side and then solve.

Answer:

x=2

Step-by-step explanation:

Sorry the picture is sideways, I was trying to fit everything in lol.

Frankie buys six and twelve fifteenths pounds of cherries and four and four sixths pounds of grapes. How many pounds of fruit did she buy in total?

A. ten and forty two ninetieths pounds
b. ten and sixteen twenty firsts pounds
c. eleven and forty two ninetieths pounds
d. eleven and sixteen twenty firsts pounds

Answers

Answer:

the answer is C: eleven and forty two ninetieths pounds

Step-by-step explanation:

The total number of pounds of fruit that Frankie bought is 11 + 42/90 pounds, which is the same as option (C), eleven and forty-two ninetieth pounds.

What is the addition operation?

The addition operation in mathematics adds values on each side of the operator.

For example 4 + 2 = 6

To find the total number of pounds of fruit that Frankie bought. Since both amounts are already given in pounds, we don't need to convert them.

Next, we need to add the two amounts together. Six and twelve fifteenth pounds can be written as 6 + 12/15 pounds, and four and four-sixths pounds can be written as 4 + 4/6 pounds. Adding these two amounts together, we get 6 + 12/15 + 4 + 4/6 pounds = 11 + 42/90 pounds.

Therefore, the total number of pounds of fruit that Frankie bought is 11 + 42/90 pounds, which is the same as option (C), eleven and forty-two ninetieth pounds.

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A fruit juice company includes 1.247 ounces of orange juice in a 6.85 ounce bottle of mixed fruit juice. How much of the bottle of mixed fruit juice is not orange juice​

Answers

Answer:

5.603 ounces

Step-by-step explanation:

From the information given, you know the ounces of orange juice included in a bottle and the ounces of mixed fruit juice that the bottle has. So, to be able to determine how much of the bottle of mixed fruit juice is not orange juice​, you have to subtract the ounces of orange juice in the bottle from the ounces of mixed fruit juice that it has:

6.85-1.247=5.603

According to this, the answer is that the bottle of mixed fruit juice has 5.603 ounces that are not of orange juice.

Let f(x)=-3x and g(x) = 2x-1
Find the following: 4g(x) - f(x)

Answers

Answer:

11x-4

Step-by-step explanation:

f(x)=-3x

g(x) = 2x-1

4g(x) - f(x)

4(2x-1) - ( -3x)

Distribute

8x -4 +3x

Combine like terms

11x-4

Here, we are provided with two polynomials f(x) and g(x),and we need to find 4g(x) - f(x).

Given,

f(x) = -3xg(x) = 2x - 1

Now,we need to find 4g(x) - f(x). We will simply substitute the given value of polynomials to get the answer.

[tex]4g(x) - f(x)[/tex]

[tex]4(2x - 1) - ( - 3x)[/tex]

Opening the parentheses,

[tex]8x - 4 + 3x[/tex]

Now combing the like terms, and adding them,

[tex]8x + 3x - 4[/tex]

[tex] \boxed{11x - 4}[/tex]

This is our final result.

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Use estimation to determine the product of 15.4 and 5.7

Answers

the answer is 87.78 but if i was gonna estimate i’d say it was mid 80’s

Rewrite in simplest terms: -9(5s – 6) + 9s

Answers

-36s+54 i hope that was helpful

the answer is  -36+54

I used a exponet calculator

You are graphing Rectangle ABCD in the coordinate plane. The following are three of the vertices of the
rectangle: A(-5,–8), B(-5,0), and C(-2,0).

Answers

Answer:

The answer is -2, -8.

Step-by-step explanation:

Since the three coordinates of the vertices are A(-5,–8), B(-5,0), and C(-2,0), the fourth vertices of the rectangle will be D(-2, -8)

What is rectangle?

It is described as a type of two-dimensional geometry where the angle between neighboring sides is 90 degrees. A quadrilateral of that kind is it. in two-dimensional planning geometry, the space occupied by the rectangle.

The following formula may be used to determine the area of a rectangle:

​Rectangle area = length x width

It is given that the three coordinates of the rectangle are A(-5,–8), B(-5,0), and C(-2,0).

We have to find the fourth vertices coordinates of the rectangle will be D(-2, -8)

Let the fourth vertices coordinates of the rectangle will be (x,y).

Since the parallel side of the rectangle is the same. Plotting the graph we will obtain the coordinates of the D.

Thus, the fourth vertices of the rectangle will be D(-2, -8)

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2m:80cm.Give answer in lowest term PLEASE ​

Answers

Answer:

5:2

Step-by-step explanation:

In centimetres

convert 2 m to cm which will be 200 cm

then simplify 200 cm:80 cm --> 5:2

(we cancelled out the zero --> 20:8 then divide 20/2= 10 and 8/2= 4

again the same --> 10/2= 5 and 4/2= 2.

5 and 2 are prime numbers which have no other factor except for 1 and themselves so it cannot be simplified further.

Therefore your answer is 5:2

In metres

convert 80 cm to m which will be 0.8 m

the same steps: simplify 2:0.8

to remove the decimal move the decimal place one to the right --> 8

so you also have to move the decimal place to the right for the numerator: 20

20/8 = 5/2

Explain what is the difference between (-6) to the power of 2 and -6 to the power of 2.

Answers

Answer:

Step-by-step explanation:

(-6)² = -6*-6

(-6)² = 36

-(6)² = -(6*6)

-(6)² = -36

The sign is affected by potency

Solve the equation for x. x2 = 484

Answers

Answer:

x=22

Step-by-step explanation:

X²=484

x=√484

x=22

Answer:

Step-by-step explanation:

x^2 = 484

√x²  - √484

x = 22

Evaluate (f-g)(2)=?

Let f(x)=2x^2+8
g(x)=x-3

Answers

Answer:

[tex]\huge\boxed{(f-g)(2)=17}[/tex]

Step-by-step explanation:

[tex](f-g)(x)=f(x)-g(x)\\\\f(x)=2x^2+8;\ g(x)=x-3\\\\(f-g)(2)=f(2)-g(2)\\\\f(2)\ [g(2)]-\text{substitute}\ x=2\ \text{to}\ f(x)\ [g(x)]\\\\f(2)=2(2^2)+8=2(4)+8=8+8=16\\g(2)=2-3=-1\\\\(f-g)(2)=16-(-1)=16+1=17[/tex]

Woodley Stadium has nine gates with two ticket booths at each gate. If each ticket booth can process 600 fans per hour, what is the stadium's maximum ingress throughput?

Answers

Answer:

10,800

Step-by-step explanation:

9*2= 18

18*600=10,800

10,800 is the stadium's maximum ingress throughput.

What are mathematical operations?

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, Woodley Stadium has nine gates with two ticket booths at each gate.

So, the total number of booth's at Woodley stadium = 9*2

the total number of booth's at Woodley stadium = 18

Since each ticket booth can process 600 fans per hour

Thus,

the stadium's maximum ingress throughput = 18 *600

the stadium's maximum ingress throughput =  10,800

Therefore, 10,800 is the stadium's maximum ingress throughput.

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find the diffrence between -2 and 7 on the number line

Answers

Answer:

9 units

Step-by-step explanation:

Calculate the absolute value of the difference, that is

| - 2 - 7 | = | - 9 | = 9 , or

| 7 - (- 2) | = | 9 | = 9

Five times the sum of a number and 6 is 48

Answers

Answer:

3.6

Step-by-step explanation:

Step 1: Find out what 48 ÷ 5 is

9.6

Step 2: Subtract 6 from 9.6

3.6

What is 0.6 repeating as a fraction

Answers

Answer:

2/3

Step-by-step explanation:

0.6 repeating as a fraction is 2/3

Answer:

The answer is 2/3 or

Step-by-step explanation:

[tex]\frac{2}{3}[/tex]

What’s #10 I need it worked out not just the answer.

Answers

No, you can clearly see that angle4 is an obtuse angle while angle2 is more of a right angle. Since 3 and 5 are vertical angles means that 180-angle3=angle4 BUT 180-angle3=angle2 AND angle 1. So they are not vertical angles.

Vertical angles are pairs of each other.

Match each equation to the situation it represents.
Situation
Equation
Kate buys 10 tickets to
a show. She also pays a $5 parking fee. She spent $35 to see the
show.
5x + 10 = 35
Ram has 35 gel pens. He gives an equal number of pens to each of his 5 friends and has
10 pens left for himself.
10x + 5 = 35
Yin spends 10 hours on homework this week. She spends 5 hours on science homework
and then answers 35 math problems.
353 +5 = 10
pls help someone

Answers

Answer:

See below.

Step-by-step explanation:

******************************************************************************

Kate buys 10 tickets to  a show. She also pays a $5 parking fee. She spent $35 to see the  show.

Each ticket costs x.

10 tickets cost 10x.

Parking is $5.

Total is $35

10x + 5 = 35

******************************************************************************

Ram has 35 gel pens. He gives an equal number of pens to each of his 5 friends and has  10 pens left for himself.

The number of pens he gives each friend is x.

The total number he gives is 5x.

He started with 35 pens ands ended up with 10 pens.

35 - 5x = 10

5x + 10 = 35

******************************************************************************

Yin spends 10 hours on homework this week. She spends 5 hours on science homework  and then answers 35 math problems.

Total time spent on homework is 10 hours.

Science homework is 5 hours.

She spends x time on each of the 35 problems, so the total time spent of the 35 problems is 35x.

35x + 5 = 10

Becky leaves school to go home. She walks 6 blocks North and then 8
blocks west. How far is Becky from the school?

Answers

Answer:

10 blocks

Step-by-step explanation:

The distance of Becky from the school is 10 blocks.

What is Pythagoras's theorem?

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

We have been given that Becky leaves school to go home. She walks 6 blocks North and then 8 blocks west.

According to the given situation, we can plot the diagram which has been attached below.

As per the figure, we have a right triangle that has :

AB = 8 blocks, and BC = 6 blocks

The distance of Becky from the school is equal to the length of AC.

By Pythagoras's theorem,

AC² = AB² + BC²

AC² = 8² + 6²

AC² = 64 + 36

AC² = 100

AC = 10 blocks

Therefore, the distance of Becky from the school is 10 blocks.

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Is 5.131313... irrational or rational and why
Brainliest if correct!!!!

Answers

5.131313.. is a repeating decimal.

Repeating decimals are rational because they have a set pattern and they can be put into a fraction.

Explanation:

Repeating decimals can be written as a fraction, proving that it is rational.

Irrational numbers can’t be put into a fraction. For example, pi or the square root of 2.

What is the relationship between the value of the 3 in the square and the value of the 3 in the circle in the number
above?

a. The value of the 3 in the square is 10 times the value of the 3 in the circle.

b. The value of the 3 in the circle is 10 times the value of the 3 in the square.

c The value of the 3 in the circle is 100 times the value of the 3 in the square.

d. The value of the 3 in the square is 100 times the value of the 3 in the circle.

Answers

Step-by-step explanation:

The answer is a, hope it helps

One serving of 18 crackers has 200 calories.
How many calories are in 90 crackers?

Answers

Answer: 1,000 calories

Work: 90/18=5 and 5*200=1,000

Answer:

1000 calories because if 18 cracker are 200 calories and you divied 90 by 18 you get 5 and 5 x 200=1000 calories

What is the inverse of the function f(x) = 1/9 x + 2?

h(x) = 18x - 2
h(x) = 9x - 18
h(x) = 9x + 18
h(x) = 18x + 2​

Answers

Answer: the answer is option B. or h(x) = 9x - 18

Step-by-step explanation:

Answer: h(x) = 9x - 18

Step-by-step explanation:

I just took the test and got it right

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