Angelica calculated the distance between the two points shown on the graph below.

On a coordinate plane, line A B has points (2, negative 5) and (negative 4, 5).

Step 1: Use the point C(–4, –5) to make a right triangle with the 90 degree vertex at C.

Step 2: Determine the lengths of the legs: AC = 6 and BC = 10.

Step 3: Substitute the values into the Pythagorean theorem: 10 squared = 6 squared + c squared.

Step 4: Evaluate 10 squared = 6 squared + c squared. 100 = 36 + c squared. 64 = c squared. 8 = c.

She states the length of AB is 8 units. Which best describes the accuracy of Angelica’s solution?
Angelica is correct.
Angelica made an error determining the location of the right angle. The right angle should be at (2, 5).
Angelica made an error counting the lengths of the legs of the right triangle. The lengths should be 7 and 11.
Angelica made an error substituting the values into the Pythagorean theorem. The equation should be c squared = 6 squared + 10 squared.

Answer:

[tex]\displaystyle x = 3 \pm i\sqrt{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

x² - 6x + 12 = 0

Step 2: Identify Variables

Compare the quadratic to standard form.

x² - 6x + 12 = 0 ↔ ax² + bx + c = 0

a = 1, b = -6, c = 12

Step 3: Find Roots

Answer:

0, 2, 154, 85,500

Step-by-step explanation:

these are the anwsers to your question

Answer:

.62

Step-by-step explanation:

Keep it nice and simple.

Answer:

.62

Step-by-step explanation:

Answer:

13.2 + 0.292X = Y

Step-by-step explanation:

Given that, according to the National Center for Education Statistics, there were 13.2 million undergraduate students enrolled in degree-granting postsecondary institutions in Fall 2000, while in Fall 2014, the enrollment was 17.3 million students, assuming this relationship grows linearly, a linear function that models the undergraduate enrollment in postsecondary institutions X years after 2000 would be carried out as follows:

2014-2000 = 14

17.3 - 13.2 = 4.1

4.1 / 14 = 0.292

Thus, each year 292,000 new students are enrolled in postsecondary institutions. Therefore, the function that determines what is requested would be the following:

13.2 + 0.292X = Y

Answer:

x = 2

y = 1

Step-by-step explanation:

-2x-3y=-7, y=6x-11

-2x - 3(6x - 11) = -7

-2x - 18x + 33 = -7

-2x - 18x = -40

-20x = -40

x = 2

y = 6(2) - 11

y = 12 - 11

y = 1

Answer:

x = 2, y = 1

Step-by-step explanation:

We have a system of equations:

-2x - 3y = -7

y = 6x - 11

Substitute the given value of y into the equation -2x - 3y = -7

-2x - 3 * (6x - 11) = -7

-20x = -7 - 33

-20x = - 40

x = 2

Substitute the given value of x into the equation y = 6x - 11

y = 6x - 11

y = 6 * 2 - 11

y = 1

The speed is the distance covered by an object at a particular time. The time it will take for Steven to cover a distance of 2.6 miles is 22.75 minutes.

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

Speed = Distance / Time

Given that it takes Steven 12.25 minutes to run 1.4 miles. Therefore, the rate or speed at which Steven runs is,

Speed = Distance / Time

Speed of Steve = 1.4 miles / 12.25 minutes

Now, if at the same rate Steven runs, then the time it will take for Steven to run a distance of 2.6 miles is,

Speed = Distance / Time

Time = Distance / Speed

Time = 2.6 miles / (1.4 miles / 12.25 minutes)

Time = (2.6 miles × 12.25 minutes)/1.4 miles

Time = 22.75 minutes

Hence, the time it will take for Steven to cover a distance of 2.6 miles is 22.75 minutes.

Learn more about Speed here:

https://brainly.com/question/15100898

#SPJ2

Answer:

(a) and (f)

Step-by-step explanation:

Given

[tex]y = 5x + 12[/tex]

See attachment for table and options

First, we calculate the slope of the table

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Using:

[tex](x_1,y_1) = (2,29)[/tex]

[tex](x_1,y_1) = (4,53)\\[/tex]

So, we have:

[tex]m = \frac{53- 29}{4 - 2}[/tex]

[tex]m = \frac{24}{2}[/tex]

[tex]m = 12[/tex]

The equation is then calculated using:

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

This gives:

[tex]y = 12*(x -2) + 29[/tex]

[tex]y = 12x -24 + 29[/tex]

[tex]y = 12x+5[/tex]

So, we have:

[tex]y = 5x + 12[/tex] --- The given equation

and

[tex]y = 12x+5[/tex] --- The equation of the table

An equation is represented as:

[tex]y = mx + b[/tex]

Where:

m = slope or rate of change

b = y intercept

So, for the given equation: [tex]y = 5x + 12[/tex]

Rate of change = 5

y intercept = 12

For the table: [tex]y = 12x+5[/tex]

Rate of change = 12

y intercept = 5

In conclusion:

(a) [tex]y = 12x+5[/tex] has the greater rate of change:

and

(f) [tex]y = 5x + 12[/tex] has the greater y intercept

50°

Step-by-step explanation:

notice the lines. from that you can tell that 3y+4=5y-10. with calculation, you get y=7. substitute y=7 and you get 50°

Answer:

x=16, have a great day

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

13x + 7 = 215

13x = 208 (Subtract 7 from both sides.)

x = 16 (Divide both sides by 13)

Answer:

-1

Step-by-step explanation:

If you multiply x by -1 you will get the y value to be the negative of that number.

Hope this helps!!

Answer:

so first find what y equals then put the negative in front of it lol there is a pattern positive and negative

3,-3

4,-4

5,-5

6,-6

y,-y

Step-by-step explanation:

Answer:

I can't tell

Step-by-step explanation:

I'm on an ocps school laptop and i can't see the image

Answer:

D. x+2y=12

Step-by-step explanation:

From the graph we know that the y-intercept is 6. (0,6) and the x-intercept is 12. (12,0)

The graph is going down so the slope is negative, from (0,6) count down to (0,0) and count right 12 unit to reach the x-intercept(12,0) the slope is -6/12 or -1/2.

the equation of the line is y=-1/2+6 or x+2y=12

x+2y=12

2y=-x+12

y=-1/2x+6

Answer:

Company A is 1.99 times B.

Step-by-step explanation:

Company A charges:

[tex]A=70.50+0.50=\$71/mile[/tex]  

Company B charges:

[tex]B=35.50+0.09=\$35.59/mile[/tex]

We just need to divide A by B:

[tex]x=A/B=1.99[/tex]

Therefore, company A is 1.99 times B.

I hope it helps you!

Answer:

20.6 cm (im pretty sure lol)

Step-by-step explanation:

sine rule:

(ab = x)

13.5/sin41 = x/sin90

13.5sin90/sin41 = x

x = 20.57741667

ab = 20.6cm

Answer:

guganitckihkgucifufu

Given:

A line segment AB.

A point is [tex]\dfrac{3}{10}[/tex] of the way from A to B.

To find:

The coordinates of that point.

Solution:

Section formula: If a point divide a line segment in m:n, then

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

From the given figure, it is clear that the two end points of the line segment are A(-4,-5) and B(12,4).

Let the unknown point be P. The point is [tex]\dfrac{3}{10}[/tex] of the way from A to B. It means,

[tex]\dfrac{AP}{AB}=\dfrac{3}{10}[/tex]

Let AP and AB are 3x and 10x, then

[tex]\dfrac{AP}{PB}=\dfrac{AP}{AB-AP}[/tex]

[tex]\dfrac{AP}{PB}=\dfrac{3x}{10x-3x}[/tex]

[tex]\dfrac{AP}{PB}=\dfrac{3x}{7x}[/tex]

[tex]\dfrac{AP}{PB}=\dfrac{3}{7}[/tex]

It means, point P divided the line segment in 3:7.

Using section formula, we get

[tex]P=\left(\dfrac{3(12)+7(-4)}{3+7},\dfrac{3(4)+7(-5)}{3+7}\right)[/tex]

[tex]P=\left(\dfrac{36-28}{10},\dfrac{12-35}{10}\right)[/tex]

[tex]P=\left(\dfrac{8}{10},\dfrac{-23}{10}\right)[/tex]

[tex]P=\left(0.8,-2.3\right)[/tex]

Therefore, the coordinates of the required point are (0.8, -2.3).

Answer:

16 square feet

Step-by-step explanation:

Base: 2 * 2 = 4

Side: 2 * 3 / 2 = 3

4 sides = 3 * 4 = 12

Base + sides = 12 + 4 = 16

Answer:

100

20 = 50

50 x2

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

250 books × 40%

= 100

other way to solve it is

250 × 0.40

= 100 fiction books

la respuesta es (-24)+(-25)-49

Answer:

- 49

Step-by-step explanation:

= -24-25(because - and + becomes -)

= -49

Answer:

A is the correct answer, hope this helps

Answer:

Tell whether the ordered pair is a solution to the system of linear equations. 1 point

(-2,-1); 2x – 4y= -8

6x + 5y = -7

No

Answer:

7 + (-14) + (7)

Step-by-step explanation:

7 - 14 - (-7) =

Subtracting is like adding a negative and subtracting a negative is like adding a postive

7 + (-14) + (7)

Answer:

Ratio, Decimal or Fraction

Step-by-step explanation:

Answer:

it's another way to write a fraction:)

Answer:

V≈166.67

Step-by-step explanation:

V=ABh

3=100·5

3≈166.66667

Answer:

166 2/3

Step-by-step explanation:

The formula to solve for the volume of a pyramid is lwh/3. Plug those numbers in and you'll get 10*10*5=500/3 = 166 2/3.

Answer:

6.82.26v375 is the descreasing order

Answer:

it is c, 6.82 2pi 55/9 sq37

Step-by-step explanation:

Answer:

A: -2

Step-by-step explanation:

TOOK THE TEST

Answer:

B 2:1

Step-by-step explanation:

Answer:

Step-by-step explanation: the answer is B i think

Answer:

A

Step-by-step explanation:

[tex]V = \frac{nd^2h}{6}[/tex]

multiply both sides by 6

[tex]6V = nd^2h[/tex]

divide both sides by [tex]nd^2[/tex]

[tex]\frac{6V}{nd^2} = h[/tex]

So the answer is A.

Answer:

HOPE IT HELPS THANK ME LATER.