A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.

Answer:

Step-by-step explanation:

The two lines intersect at one point.  At this one point, the two students will have drunken the same amount of liquid.

There is sufficient info here so that one could determine that time and that volume of liquid if desired.

Answer:

x = 30

Step-by-step explanation:

Side splitter theorem,

"If a line intersects two sides of a triangle and is parallel to the third side of the triangle, will divide the sides proportionally."

Therefore, ratio of the parts of two sides intersected will be proportional.

[tex]\frac{3}{15}= \frac{6}{x}[/tex]

[tex]x=\frac{6\times 15}{3}[/tex]

[tex]x=30[/tex]

Therefore, [tex]x=30[/tex] will be the answer.

Answer:

I'm sorry I wish if I could help you but not sure of the answe

Answer:

B.

Symmetric Property

Step-by-step explanation:

Answer:

the too left graph us the abswer,

Because

f(x) = (x + 3)(x - 2) has positive cieff of the x^2 term, and also it has roots of -3 and 2

The graph of the function  f(x) = (x + 3)(x - 2) is first graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

To graph the function f(x) = (x + 3)(x - 2), we can start by finding its x-intercepts, y-intercept, and any vertical or horizontal asymptotes.

First, to find the x-intercepts, we set y = 0 and solve for x:

(x + 3)(x - 2) = 0

This equation is true when x = -3 or x = 2. Therefore, the x-intercepts of the graph are -3 and 2.

Next, to find the y-intercept, we set x = 0 and evaluate:

f(0) = (0 + 3)(0 - 2) = -6

Therefore, the y-intercept of the graph is -6.

The graph of f(x) = (x + 3)(x - 2) is a parabola that opens up because the sign of the two factors, (x + 3) and (x - 2), are both positive.

This means that the graph of f(x) will be a parabola that opens up with its vertex located at the point where the two factors are equal to each other

Hence, the graph of the function  f(x) = (x + 3)(x - 2) is first graph.

To learn more on Graph click:

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Answer:

80=0.25x

0.25(400)=80

100=80

$20= profit

Step-by-step explanation:

Answer:

255

Step-by-step explanation:

total cost paid = fixed cost + total variable cost

total variable cost = distance travelled x variable cost per unit

two equations can be derived from the question

a + 10b = 105  equation 1

a + 15b = 155   equation 2

a = fixed cost

b =  variable cost per unit

Subtract equation 1 from 2

5b = 50

b = 10

Substitute for b in equation 1

a + 10(10) = 105

a = 105 - 100 = 5

a = 5

cost of travelling a distance of 25km

5 + 10(25) = 255

Answer:

D.  [tex]\displaystyle \frac{1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify points from graph

Point (-5, -3)

Point (3, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

for the music blue the median would be in the middle

for the physics the upper quartile would be the farthest right

for the sports the lower quartile would be the farthest left

for the history the line  would go the farthest right

Answer:

Base - 7 yards

Height - 10 yards

Area - 35 square yards

Step-by-step explanation:

By definition, the base and height must be perpendicular. Technically, they are interchangeable, but base usually refers to the relative bottom of a figure.

The area of a triangle with base [tex]b[/tex] and height [tex]h[/tex] is equal to [tex]A=\frac{1}{2}bh[/tex].

Therefore, we have:

[tex]A=\frac{1}{2}\cdot 7\cdot 10=\boxed{35\:\text{square yards}}[/tex]

Answer:

To complete the square, we need to have the equation set up like this:

x^2 +4x =9

To do that, we'd need to move the 4x to the left side producing

4x + x^2 = 9

And that can be rewritten as

x^2 +4x =9

So the term that needs to be moved is -4x

https://www.1728.org/quadr2.htm

Step-by-step explanation:

Answer:

6 is the constant

Step-by-step explanation:

8x^2-7x+6

The constant is the term that does not change ( the one with out the variable)

6 is the constant

Answer:

b. would be the answer bc it goes in a line if you were to connect the dots

Answer:

Step-by-step explanation:

Complete the square:

y = x² + 12x + 27

  = x² + 2*6*x + 6² - 6² + 27

  = (x + 6)² - 36 + 27

  = (x + 6)² - 9

Correct choice is A

Answer:

D 1. use distance formula to show Pythagorean Theorem holds true

2. use slope formula to show that two sides have opposite reciprocal slopes

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

Answer:

10x² + 14x - 48

Step-by-step explanation:

F: (5x)(2x) = 10x²

O: (5x)(6) = 30x

I:  (-8)(2x) = -16x

L:  (-8)(6) = -48

combine the two middle terms to get 14x

10x² + 14x - 48

Answer:

Part 1)

The height of the diving board is 19 feet.

Part 2)

Five seconds.

Part 3)

44 feet.

Step-by-step explanation:

Joyce's dive is represented by the equation:

[tex]h=-t^2+10t+19[/tex]

Where h represents her height (in feet) after t seconds.

Part 1)

Joyce is on the diving board right before she jumps. Therefore, to find the height of the diving board, we can let t = 0, since this is before she had jumped. Hence:

[tex]h(0)=-(0)^2+10(0)+19=19\text{ feet}[/tex]

The height of the diving board is 19 feet.

Part 2)

Since this is a quadratic, the maximum height will occur at its vertex point.

So, we need to find the vertex. We can use the following formulas:

[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = -1, b = 10, and c = 19.

So, the t-coordinate of the vertex is:

[tex]\displaystyle t=-\frac{(10)}{2(-1)}=5\text{ seconds}[/tex]

Joyce will reach her maximum height after five seconds.

Part 3)

To find the maximum height, simply substitute this value back into the equation. Hence:

[tex]h(5)=-(5)^2+10(5)+19=44\text{ feet}[/tex]

So, her maximum height is 44 feet in the air.

Answer:

D

Step-by-step explanation:

Answer:

log (25 x^5)

Step-by-step explanation:

2 log 5 + 5 log x

We know alog b = log b^a

log 5^2 + log x^5

We know log a + log b = log (a*b)

log ( 5^2 * x^5)

5^2 = 25

log (25 x^5)

Answer:

log ( 25x⁵)

Step-by-step explanation:

use a×log × b = log b^a to transform the expression.

use log x + log y = log ( x×y ) to simplify the expression

Evaluate the power

Answer:

( a ) an even number

Step-by-step explanation:

The product of a non - zero whole number and its successor is always an even number.

Answer:

A

Let a non-zero is X, if X is odd number than Successor become even. ( A+1= even number ) X is odd ×(A+1)= Even. If X is even number than Successor become odd

Answer:

The remainder is 24

Step-by-step explanation:

[tex]\frac{3x^4-2x^2+5x-6}{x+2}=[/tex]

[tex]3x^3+\frac{-6x^3-2x^2+5x-6}{x+2}=\\[/tex]

[tex]3x^3-6x^2+\frac{10x^2+5x-6}{x+2}=[/tex]

[tex]3x^3-6x^2+10x+\frac{-15x-6}{x+2}=[/tex]

[tex]3x^3-6x^2+10x-15+\frac{24}{x+2}[/tex]

Therefore, the remainder is 24.

Answer:

15x5−x4−2x3+21x2+7x

Step-by-step explanation:

=(3x2+x)(5x3+−2x2+7)

=(3x2)(5x3)+(3x2)(−2x2)+(3x2)(7)+(x)(5x3)+(x)(−2x2)+(x)(7)

=15x5−6x4+21x2+5x4−2x3+7x

=15x5−x4−2x3+21x2+7x

Step-by-step explanation:

Find the score for evan then subtract the points for min and evan tu find the difference

Answer:

[tex]y=-\frac{2}{7} x+7[/tex]

Step-by-step explanation:

First Solve For The Slope Using The Two Given Points!

M = Slope

M = [tex]\frac{y2-y1}{x2-x1}[/tex]

M = [tex]\frac{5-9}{7--7}[/tex]           Two negative signs together makes addition!

M = [tex]\frac{-4}{14}[/tex]               Move the negative sign (only if the fraction has a negative)

M = [tex]-\frac{4}{14}[/tex]            Simplify

M = [tex]-\frac{2}{7}[/tex]              Final Answer

Then see how many units the graph goes up = y-intercept

Answer: 7

Answer: -21x+35+11y

Step-by-step explanation:

7(-3x+5) +11y

7x-3 7x5

-21x+35+11y

you can't add, subtract, or anything with this, so this will be your final answer.

Answer: y=-1/3x+2

Step-by-step explanation: The formula for slope intercept form is y=mx+b, where m is equal to the slope and b is equal to the x-intercept. Just fill in the values to get y=-1/3x+2

Answer:

2/9

Step-by-step explanation:

y2 - y1 / x2 - x1

8 - 6 / 6 - (-3)

2 / 9

= 2/9

Answer:

h = -34/3

Step-by-step explanation:

7h +8 = 4h - 26

Subtract 4h from each side

7h-4h +8 = 4h-4h - 26

3h+8 = -26

Subtract 8 from each side

3h+8-8 = -26-8

3h = -34

Divide by 3

3h/3 = -34/3

h = -34/3

Answer:

h = - [tex]\frac{34}{3}[/tex]

Step-by-step explanation:

Given

7h + 8 = 4h - 26 ( subtract 4h from both sides )

3h + 8 = - 26 ( subtract 8 from both sides )

3h = - 34 ( divide both sides by 3 )

h = - [tex]\frac{34}{3}[/tex]