find the equation of the line passing through points (-4,2) and (1,-6)

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Answer:

  y = -|x -1| +2

Step-by-step explanation:

The transformation ...

  -f(x -h) +k

reflects function f(x) over the x-axis, translates it 'h' units to the right and 'k' units up.

Your absolute value function is reflected over the x-axis, then translated 1 unit right (h=1) and 2 units up (k=2). Putting these values in the function, we have ...

  y = -abs(x -1) +2

  y = -|x -1| +2

Step-by-step explanation:

Actually, ∠BDA＋∠BDC=180°

2∠BDA= 180°(CPCTC)

∠BDA= 90°

This is how BD is perpendicular to AC

Answer:

uh i think its a uhhh carrotttt

Step-by-step explanation:

Answer:

<6 and <3 are congruent to <1.

Answer:

angle 7

Step-by-step explanation:

angle 1 + angle 5 =180

and angle 5 = angle 7

angle 1 is congruent to angle 7

it's incorrect

Answer:

answer in the picture

Step-by-step explanation:

Answer:

8x²+16x+8=0

x²+2x+1=0

D=4-4=0

x0=-2/2=-1

Answer:

Step-by-step explanation:

[tex]8x^2+16x+8=0[/tex]                  {divide both sides by 8}

[tex]x^2+2x+1=0\\\\a=1\,,\quad b=2\,,\quad c=1\\\\x=\dfrac{-2\pm\sqrt{2^2-4\cdot1\cdot1}}{2\cdot1}=\dfrac{-2\pm\sqrt{4-4}}2=\dfrac{-2\pm0}2=-1[/tex]

Answer:28

Step-by-step explanation:

Answer:

36 number of 2/3-pint bottles can be filled from a 24-pint container

Step-by-step explanation:

Volume of the container is 24 pint

Volume of the bottle is 2/3 pint

Number of 2/3 pint bottles that can be filled from 24 pint container is

[tex]\frac{24}{\frac{2}{3} } \\= 24 * \frac{3}{2} \\= 12 * 3\\= 36[/tex]

36 number of 2/3-pint bottles can be filled from a 24-pint container

Answer:

180

Step-by-step explanation:

Answer:

117 ft³

Step-by-step explanation:

The tent is composed of a cuboid and a triangular prism

V ( cuboid) = 6 × 8 × 2 = 96 ft³

V(prism) = Ah ( A is the area of triangle and h is length )

              = [tex]\frac{1}{2}[/tex] × 6 × (5.5 - 2) × 2

              = 3 × 3.5 × 2

              = 21 ft³

Total volume = 96 + 21 = 117 ft³

Answer:

circumference of circle=2πr

hope it helps.

Altura = 16  

Base = 9

(16 * 9 = 144)

Perímetro = 50

(16*2 + 9*2 = 50)

The justification (D) shading is to the left because (0, 0) does not satisfy the inequality option (D) is correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have inequality:

[tex]\rm x+3.5 < \dfrac{1}{10}(y-2)^2[/tex]

If plug (0, 0)

0 + 3.5 < 4/10

Which is not true.

Thus, the justification (D) shading is to the left because (0, 0) does not satisfy the inequality option (D) is correct.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ2

Answer:

3/8 , 3/6. 3/4

Tad drove the least miles because the miles ridden is less than both 3/6 and 3/4 miles

Dale rode the second greatest mile because the miles ridden is greater than 3/8 but less than 3/4

Harrison rode the greatest mile because the miles ridden is greater than both 3/6 and 3/8

Step-by-step explanation:

to order the miles ridden , convert the fraction to decimals. to do this, divide the numerator by the denominator

3/4 = 0.75

3/6 = 0.5 miles

3/8 = 0.374

Answer:

2.9

Step-by-step explanation:

if you need me to explain just comment!

I hope i was able to help!!!!!

Answer: 3m

Step-by-step explanation:

c = 2[tex]\pi[/tex]r

18.84 = 2 x 3.14r

18.84 = 6.28 r

r = 3

Answer:

x-intercept = 3

y-intercept = -2

Step-by-step explanation:

P.S - The exact question is -

Given - A function g models a relationship in which the dependent variable doubles for every 3 units the independent variable increases.

To find - Graph g when g(0) = -2. Identify the y-intercept and x-intercept.

Proof -

By using the given information , we get

g(x) = [tex]\frac{2}{3} x - 2[/tex]

g(0) = 0 - 2 = -2

It also satisfy the condition g(0) = -2

Here,

by comparing with general form of slope-intercept form y = mx + c

where m = slope, c = y-intercept

Slope, m = [tex]\frac{2}{3}[/tex]

For x-intercept,

Put y = 0

⇒[tex]\frac{2}{3} x - 2[/tex] = 0

⇒[tex]\frac{2}{3}x = 2[/tex]

⇒x = 3

So,

x-intercept = 3

For y-intercept,

Put x = 0

⇒y = 0 - 2

⇒y = 2

∴

y-intercept = -2

1. Even

2. Odd

3. Even

4. Odd

5. Odd

6. Even

7. Odd

8. Odd

9. Even

10. Even

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Answer:

  m = 8 yd

Step-by-step explanation:

The triangles are similar, so ...

  EG/EF = DH/DF

  EG = m = EF(DH/DF) = (10 yd)(12/15)

  m = 8 yd

Answer:

x =  -25/6

Step-by-step explanation:

6 (x + 4) + 1 = 0

6x + 24 + 1 = 0

6x + 25 = 0

6x = -25

x = -25/6

Answer:

The answer is 16 feet

Step-by-step explanation:

You do 1.5 feet times 4 hours and you get 6 feet and than you add 10 and 6 and you get 16 feet after 4 hour.

Answer:

y = 4/3x + 6

Step-by-step explanation:

y = 4/3x + b

2 = 4/3(-3) + b

2 = -4 + b

6 = b

y = 4/3x + 6

Answer:

The area of the trapezoid is 152 square centimeters.

Step-by-step explanation:

The formula for finding the area of a trapezoid is [tex]\frac{a+b}{2} *h[/tex], where a and b are bases and h signifies the height.

Find the second base's length by adding 18 + 2 = 20.

Input values next:

[tex]\frac{18+20}{2} *8=152 cm^2[/tex]

Hope this helps; have a great day!

Answer: $4,428.27

Step-by-step explanation:

First you have to find out how many shows are in three months. If there is 3.5 shows in one month, multiply this by three to get the amount in 3 months.

3.5 x 3 = 10.5 shows

Now multiply the amount the band makes in one show by the number of shows.

$421.74 x 10.5 shows = $4,428.27 over the course of three months.

Hope this helps!

Respuesta:

Motocicleta A = 0.082 litros por km

Motocicleta B = 0.089 litros por km

Explicación paso a paso:

Dado :

Consumo de gasolina de la motocicleta A y la motocicleta B por 100 km

Motocicleta A = 8.2 litros

Motocicleta B = 8,9 litros

Consumo por kilómetro:

Litros consumidos por 100 km / 100 km

Motocicleta A:

8.2 / 100 km

= 0,082 litros por km

Motocicleta B:

8,9 / 100 km

= 0,089 litros por km

Answer:

113

Step-by-step explanation:

note: to find the circumference of a circle using the radius, you use this equation -- 2[tex]\pi[/tex]r. since the radius is 18, you make the equation 2[tex]\pi[/tex]18. that gets you 36[tex]\pi[/tex], which, if put into the calculator, is about 113.

Answer:

220 in²

Step-by-step explanation:

1) use a² + b² = c² to find the missing side length by substituting b with 11 and c with 61 ----- a² + (11)² = (61)²

2) this gets a² + 121 = 3721 after squaring 11 and 61

3) subtract both sides by 121 to try isolating the variable which gets a² = 3600

4) find the square root of 3600 to get the value of a, or the missing side which is 60 in

5) since there are three triangles, divide 60 by 3 which has 20 as the length of each small triangle

6) multiply 20 and 11 to get the area of the each small triangle and get 220 in²