Time(h)
Distance (mi)
12 3 4 5
14 26 38 50 62
The table shows Eli's distance from home as he
rides his bike at a steady rate after meeting a
friend. Write an equation in slope-intercept form
that represents the miles, y, that Eli goes in x hours.
y = 12x + 2
y = 2x + 2
y = 12x + 12
y = 2x + 12

Answer:

  x = -9, 4

Step-by-step explanation:

The sides are marked congruent, so you have ...

  x^2 +5x = 36

Subtracting 36 puts this in standard form:

  x^2 +5x -36 = 0

To factor this, you need to find factors of -36 that have a sum of 5.

  -36 = (-1)(36) = (-2)(18) = (-3)(12) = (-4)(9) = (-6)(6)

The sums of these factor pairs are 35, 16, 9, 5, 0.

The pair with a sum of 5 is (-4)(9), so the factorization of the quadratic is ...

  (x -4)(x +9) = 0

The solutions are the values of x that make the factors zero:

  x = 4, x = -9

Both of these solutions work in this problem.

Answer:

x > 15

Step-by-step explanation:

first step is to subtract 9 from each side to get:

x/3 > 5

now multiply each side by 3 to get:

x > 15

Answer:

428

Step-by-step explanation:

209+5=214

214x2= 428

I think this is the correct answer, if it's not I'm sorry :3

Answer:

[tex]y+6=\frac{2}{5} (x+5).[/tex]

Step-by-step explanation:

1) the common form of the point-slope form is y-y₁=s(x-x₁), where s - the slope, (x₁;y₁) - the point belongs to the required line;

2) if s=2.5; x₁= -5; y₁= -6, then the required equation is:

y+6=2/5(x+5).

Answer:

3.5

Step-by-step explanation:

Answer:

a)0.085 b)19.6 percent

Step-by-step explanation:

Answer:

a) 0.085

b) 19.6%

Step-by-step explanation:

Answer:

-4,1 -3,0 -2,1 -1,2 0,3 1,4 2,5 3,6 4,7

Step-by-step explanation:

when x increases by one, so does y. The slope of the line is 1 btw.

Answer:

y= -3x + 8

Step-by-step explanation:

Put -2x + 6y = -4 into slope-interceltp form

Take the negative reciprocal of the slope.

Use this reciprocal in point-slope form

and you have,

= y= -3x + 8

(EDITED) Steps:

2x+6y = -4

6y=2x - 4

y= 1/3x + 2/3

if two lines are perpendicular,

m1 * m2 + -1

1/3 * m2 = -1

m2 = -3

the line perpendicular to this line is

y = -3x + k ; k ∈ R

the line passes through the point (5,-7)

so,

-7 = -3. (5) +k

-7 = -15 + k

k = 8

∴the equation of a line that passes through the point (5,-7) and is perpendicular to the line -2x+6y=-4 is

y= -3x + 8

Hope this helps, have a nice day/night! :D

Answer:

(2 , -3)

Step-by-step explanation:

7x +2y = 8

-5x - 2  = -12

The only method that uses addition/subtraction is elimination

5(7x + 2y = 8)

7(-5x = 10) I am getting x coefficient to be the same, LCF of 7 and 5 is 35)

(multiply it out and now we can get ready to subtract) *I got 10 by adding 2 to -12*

35x + 10y = 40

-35x = 70

10y = -30

y = -3

substitute y into original equation

7x + 2 (-3) = 8

7x - 6 = 8

7x = 14

x = 2

(2 , -3 )

Answer:

Step-by-step explanation:

Add 5x to both sides to isolate -2:

-5x + 5x - 2 = -12 + 5x

-2 = -12 + 5x

Add 12 to both sides to isolate the 5x:

-2 + 12 = -12 + 12 + 5x

10 = 5x

Divide both sides by 5:

[tex]\frac{5x}{5} = 10 \div 5\\[/tex]

x = 2

Substitute this value into the first equation:

7x + 2y = 8

7(2) + 2y = 8

14 + 2y = 8

Subtract 14 from both sides:

14 - 14 + 2y = 8 - 14

2y = -6

Divide both sides by 2:

2y ÷ 2 = -6 ÷ 2

y = -3

So the coordinate set is:

(2, -3)

Hope this helps!

Answer:

y = 6;  x = 12

Step-by-step explanation:

If the triangles are congruent , then their sides are corresponding.

AB ≅DE                                          DE≅ AC

7 = 2y - 5                                       3x - 13 = 11 + x

7 + 5 = 2y                                       3x - x -13 = 11

12 = 2y                                             2x - 13 = 11

6 = y                                                   2x = 11 + 13

                                                            2x = 24

                                                               x = 12

AB=DE

[tex]\\ \sf\longmapsto 2y-5=7[/tex]

[tex]\\ \sf\longmapsto 2y=12[/tex]

[tex]\\ \sf\longmapsto y=6[/tex]

[tex]\\ \sf\longmapsto 11+x=3x-13[/tex]

[tex]\\ \sf\longmapsto 2x=24[/tex]

[tex]\\ \sf\longmapsto x=12[/tex]

Diagram attached

Step-by-step explanation:

sin45°=x/4√2

=> 1/√2 = x/4√2

=> x= 4√2/√2

=>x= 4.

hope this helps you.

The question is an illustration of right-angled triangles

The value of x is (b) 4

To calculate the value of x, we make use of the following sine ratio

[tex]\sin(45) = \frac{x}{4\sqrt 2}[/tex]

Multiply both sides of the equation by [tex]4\sqrt 2[/tex], to make x the subject of the formula

[tex]x = \sin(45) \times 4\sqrt 2[/tex]

Evaluate sin(45)

[tex]x = \frac{1}{\sqrt 2} \times 4\sqrt 2[/tex]

Cancel out the common factors

[tex]x = 4[/tex]

Hence, the value of x is (b) 4

Read more about right-angled triangles at:

https://brainly.com/question/16195823

Answer:

$83 million

Step-by-step explanation:

29% of the charity's donated funds.

$24.1 million = donation

Let x = the total amount of donated funds

29/100 • x = 24.1

x = 24.1 • 100/29

x = 83.10

=83

Hope this helps :)

Answer:

He uses the credit card to pay $9 for lunch. Use the number line to subtract $9 from Colton's credit balance, and complete the equation. ucation

Step-by-step explanation:

Answer:

just divide both of them

Answer:

525

Step-by-step explanation:

200-25=175. 175*3=525

Answer:1.75m

Step-by-step explanation:

Answer:

ofc 8 there are 8 post card ♦️

Answer:

222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222

Step-by-step explanation:

22222222222222222222222222222222222222

Answer:

it 3.5-9

Step-by-step explanation:

if I did it right then it's $32.38.

Answer:

F because you cannot prove that any of the angles are the same with only one set of parallel lines

Using the relationship between velocity, distance and time, it is found that Red Riding Hood drives at 54 mph.

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

Red Riding Hood drives the 432 miles to Grandmother’s house in 1 hour less than it takes the Wolf to drive the same route, at a speed of 6 mph faster, hence the equations are:

[tex]v = \frac{432}{t}[/tex]

[tex]v + 6 = \frac{432}{t - 1}[/tex]

From the first equation:

[tex]t = \frac{432}{v}[/tex]

Replacing on the second equation:

[tex]v + 6 = \frac{432}{t - 1}[/tex]

[tex]v + 6 = \frac{432}{\frac{432}{v} - 1}[/tex]

[tex]v + 6 = \frac{432v}{432 - v}[/tex]

[tex]432v - v^2 + 2592 - 6v = 432v[/tex]

[tex]v^2 + 6v - 2592 = 0[/tex]

(v + 54)(v - 48) = 0.

The velocity is positive, hence:

v - 48 = 0 -> v = 48 mph.

Red Riding Hood drives 6 mph faster than Wolf, hence:

v + 6 = 48 + 6 = 54 mph.

More can be learned about the relationship between velocity, distance and time at https://brainly.com/question/24316569

#SPJ1

Answer: 54 mph.

Step-by-step explanation:

took the test and got it  correct. edge.

The price of a staff ticket and the price of a student ticket is $8 and $14

Given:

Day 1:

Number of staff tickets sold = 3

Number of students tickets sold = 1

Total revenue day 1 = $38

Day 2:

Number of staff tickets sold = 3

Number of students tickets sold = 2

Total revenue day 2 = $52

let

cost of staff tickets = x

cost of students tickets = y

The equation:

3x + y = 38 (1)

3x + y = 38 (1)3x + 2y = 52 (2)

subtract (1) from (2)

2y - y = 52 - 38

y = 14

substitute y = 14 into (1)

3x + y = 38 (1)

3x + 14 = 38

3x = 38 - 14

3x = 24

x = 24/3

x = 8

Therefore,

cost of staff tickets = x

= $8

cost of students tickets = y

= $14

Read more:

https://brainly.com/question/22940808

Answer:

Find the slope that passes between the points.

(y₂ - y₁) / (x₂ - x₁)

J(-4, -5)

K(-6, 3)

(3 - (-5)) / (-6 - (-4))

(3 + 5) / (-6 + 4)

8 / -2

-4

Step-by-step explanation:

there

Answer:

262x3=768 so you need to find which answer equals 786 in addition form.

option a is equal to 624

option b is equal to 786

option c is equal to 624

option d is equal to 2358

your answer would be option b.

Step-by-step explanation:

hope this helps

Answer:

b

Step-by-step explanation:

Answer:

1. so the express of the shaded region would be

10x*6 which gives 60x the area of the whole thing subtract 2x*4 =8x

so 60x-8x

2.

the perimeter is 6*2 bc two sides so 12

and 10x *2 bc two sides 20

so 20x+12 would be the perimeter

Answer:

¡¡ Only

Step-by-step explanation:

-8-2x < - 4

-2x < - 4+8

-2x < 4

x > - 2

Answer: 20

Step-by-step explanation:

17 is closest to 20 :)

(sorry if this is wrong)

Answer:

1 I think can you make sure?

Answer:

$50.96

Step-by-step explanation:

300(1.04)^4

350.957568.......simplify

350.96.................round to nearest hundredth

350.96-300

50.96