The following graph shows Taylor's journey home. The y-axis is the distance Taylor is from home. The x-axis shows the time of his journey. According to the graph, what is the farthest distance Taylor was from his home?

options:

10 meters


18 meters


18 minutes


8 meters

157/5....................

Answer:iqual like 12

Step-by-step explanation:xD i think :/

Answer:

(x + 2) (x - 2)

Step-by-step explanation:

Given the quadratic expression,  x² - 4:

Use the Difference of squares factoring formula:

u² - v² = (u + v)(u - v)

Determine what are possible factors that could have a product of -4:

Since -2 × 2 = -4, these can be used as factors.

Therefore, the factors of the quadratic expression, x² - 4 are:

(x + 2) (x - 2)

Answer:

Mode:6

median: 5.5

mean: 5.25

range : 2

Step-by-step explanation:

Step-by-step explanation:

x increases continuously in steps of 2, y increases continuously in steps of 3.

so the slope of the line is y difference / x difference = 3/2. and the slope is siesta the factor of x in the equation

the line equating looks so far like

y = (3/2)×x + b

to get b we use one of the x and y pairs like (2, 5) and put these values in :

5 = (3/2)×2 + b = 3 + b

b = 2

so, the full equation is

y = (3/2)×x + 2

Answer:

187.5% increase

Step-by-step explanation:

Percent change formula: [tex]\frac{x_{2}-x_{1}}{x_{1}}[/tex]

Initially, the program had 8 members and ended with 15 so [tex]\frac{15-8}{8}=\frac{7}{8}=0.875=87.5[/tex]

Answer:

I am pretty sure it is time of event.

Step-by-step explanation:

Answer:

It is - 4 ≤ x ≤ 0

Step-by-step explanation:

Answer: I believe those would be opposite angles (aka vertically opposite angles).

Answer:

10.8$

Step-by-step explanation:

(8*4.03)/3 = 10.8

Answer:

34 hours

Step-by-step explanation:

Lets call M the number of hours that Maddie volunteered. Ryan volunteered 1 + 3×M hours, and altogether they volunteered 45 hours, so:

1 + 3×M + M = 45

1 + 4M = 45 Subtract 1 in both sides

4M = 44 Divide both sides by 4

M = 11 hours

So Maddie volunteered 11 hours, and Ryan volunteered

1 + 3×11 = 34 hours

Answer:

2,020 people were at the park.

Step-by-step explanation:

33/55 = 1212/x

(1212 * 55)/33 = 2,020

Answer:

567

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2x2=4-2 =2

Answer:

 Slope = 0.667/2.000 = 0.333

 x-intercept = 6/1 = 6.00000

 y-intercept = 6/-3 = 2/-1 = -2.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*x-12*y-(24)=0

Step 1: Pulling out like terms

Pull out like factors :

  4x - 12y - 24  =   4 • (x - 3y - 6)  

Equation at the end of step 1:

Step 2:

Equations which are never true:

Solve :    4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

Solve   x-3y-6  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x-3y-6  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 2/-1 so this line "cuts" the y axis at y=-2.00000

 y-intercept = 6/-3 = 2/-1  = -2.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 6/1 Our line therefore "cuts" the x axis at x= 6.00000

 x-intercept = 6/1  =  6.00000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.000 and for x=2.000, the value of y is -1.333. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -1.333 - (-2.000) = 0.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.667/2.000 =  0.333  

Geometric figure: Straight Line

 Slope = 0.667/2.000 = 0.333

 x-intercept = 6/1 = 6.00000

 y-intercept = 6/-3 = 2/-1 = -2.00000

Answer:

AC equals CB times CD all over CE

The lengths of the sides of the scaled drawing can be determined from the

relation between similar triangles.

The expression that will help Jolene determine the length segment AC is the option;

Reasons:

The given parameters are;

The figure Jolene is trying to create = A scaled up blue print

Given that in ΔACB and ΔABC, we have;

DE and AB are parallel

Therefore;

∠CED ≅ ∠CBA by corresponding angles

∠CDE ≅ ∠CAB by corresponding angles

∠C ≅ ∠C by reflexive properties

ΔCDE ~ ΔACB by Angle-Angle similarity postulate

Therefore, by similar triangles, and triangle proportionality, we have;

[tex]\displaystyle \frac{AC}{CD} = \mathbf{\frac{CB}{CE}}[/tex]

Therefore;

[tex]\displaystyle CD= \mathbf{ \frac{CB\cdot CD}{CE}}[/tex]

Therefore, if segments DE and AB are parallel, the expression that will help Jolene determine the length segment AC is; [tex]\displaystyle CD= \frac{CB\cdot CD}{CE}[/tex]

Learn more about similar triangles here:

https://brainly.com/question/14445094

A variable is a letter, for example x, y or z, that represents an unspecified number.

6+x=12

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.

If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.Step-by-step explanation:

17.5mph

420÷24= 175

Hope this helped you- have a good day bro cya)

Answer:

17.5mph

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

[tex]2^{2} +10^{2} =c^{2}[/tex]

4+100=[tex]c^{2}[/tex]

c=[tex]\sqrt{104}[/tex]

c=10.198

Round to nearest thousandth

c=10

Hope this helps :)

Comment if you need more help :) :)

Answer:

x = 10

Step-by-step explanation:

First, distribute:

[tex]\frac{1}{5} x - \frac{2}{5} =\frac{1}{10} x+\frac{6}{10}[/tex]

Next, subtract [tex]\frac{1}{5}x[/tex] from both sides:

[tex]-\frac{2}{5} = \frac{1}{10} x -\frac{1}{5} x+\frac{6}{10}[/tex]

(multiply [tex]\frac{1}{5}x[/tex] by 2 to get common denominator, [tex]\frac{2}{10} x[/tex] )

[tex]-\frac{2}{5} =-\frac{1}{10}x +\frac{6}{10}[/tex]

Next, subtract [tex]\frac{6}{10}[/tex] from both sides:

[tex]-\frac{2}{5} -\frac{6}{10} =-\frac{1}{10} x[/tex]

(multiply [tex]\frac{2}{5}[/tex] by 2 to get common denominator, [tex]\frac{4}{10}[/tex] )

[tex]-\frac{10}{10} =-\frac{1}{10} x[/tex] ⇒ [tex]-1=-\frac{1}{10} x[/tex]

Next, multiply both sides by 10:

[tex]-10=-x[/tex]

FInally, divide both sides by -1:

x = 10

Answer:

Step-by-step explanation:

1/5(x-2) =1/10(x+6)

1/5x-2 = 1/10x+0.6

1/5x+1/10x= 0.6-2

0.2x+0.1x= -1.4

0.3x= -1.4

x= -4.67

x= -4.7

x= -5

Answer:

11.6 is your answer. brainliest pls

Step-by-step explanation:

Answer:

8:3

Step-by-step explanation:

Answer:

3:8 or 8:3, im leaning towards 3:8 more but i dunno

Step-by-step explanation:

Step-by-step explanation:

the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

so,

(h(7) - (h(3)) / (7 - 3)

h(7) = 7² - 7×7 + 6 = 49 - 49 + 6 = 6

h(3) = 3² - 7×3 + 6 = 9 - 21 + 6 = -6

7 - 3 = 4

(6 - -6)/4 = 12/4 = 3

the average change rate in that interval is 3 (or fully 3/1).

Answer:

15

Step-by-step explanation:

15 because 15 divided by 3 equals 5 + 6 equals 11 and 11 minus 7 equals 4

Answer:

Hi I hope this helps

A = X : -3 Y : -3

B = X : -2 Y : 1

Step-by-step explanation:

please let me know if it's right or wrong

Answer:

y = x-7

Step-by-step explanation:

Slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

2y -2x = -14

Add 2x to each side

2y-2x+2x= 2x-14

2y = 2x-14

Divide by 2

2y/2 = 2x/2 -14/2

y = x-7

Answer:

2/3

Step-by-step explanation:

= 3/4 * 8/9

= 24/36

simplify by 4

= 6/9

simplify by 3

= 2/3

Answer:

24 /36 or 2/3

Step-by-step explanation:

3 x 8 = 24

4 x 9 = 36

24/36

Simplify the fraction to get 2/3

Therefore, 2/3 would be your answer.

-kiniwih426

Answer:

x < -8/21

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Add 3x to both sides.

Step 3: Subtract 10 from both sides.

Step 4: Multiply both sides by 2/21.

Therefore, the answer is x < -8/21.