Mathematics High School

Calculate in square units the area of the shaded region bounded by the line
[tex] \frac{x}{4} + \frac{y}{5} = 1 \\ [/tex]
x/4 + y/5 = 1
, y = 0 and x = 0.

Please include the graph.​

Answers

Answer 1

9514 1404 393

Answer:

 10 square units

Step-by-step explanation:

The given equation is in "intercept form." This lets you see immediately the x-intercept is 4, and the y-intercept is 5. This makes the area be that of a right triangle with base 4 and height 5:

  A = 1/2bh = 1/2(4)(5) = 10 . . . . square units

Calculate In Square Units The Area Of The Shaded Region Bounded By The Line [tex] \frac{x}{4} + \frac{y}{5}

Related Questions

Write the inequality.
The sum of negative 3 and a number is no more than two

Answers

Answer: -3+x<2

Step-by-step explanation: can't be greater than 2.

The dimensions of a rectangular prism are 3 cm, 15 cm, and k cm. Its volume is
90 cm. Find the value of k.

Answers

Answer:

k = 2 cm

Step-by-step explanation:

3 x 15 x k = 90 cm^3

45 x k = 90 cm^3

k = 90/45 = 2 cm

Which of the following functions has the roots of -1 and 2? *
a. f(x) = x² – x – 2
b. f(x) = x² + x – 4
c. f(x) = x² + x + 2
d. f(x) = x² – x + 5

Which equation can be formed when we substitute the ordered pair (1, 4) in the equation y = ax² + bx + c? *
a. 4 = a + b + c
b. a = 4 + b + c
c. b = a + 4 + c
d. c = 4 + a + b​

Answers

Answer:

first one is A

second one is A

Step-by-step explanation:

yeah-ya.... right?

How many gallons of a 50​% antifreeze solution must be mixed with 90 gallons of 25​% antifreeze to get a mixture that is 40​% ​antifreeze? Use the​ six-step method.

Answers

Let x be the needed volume of 50% antifreeze solution. x gallons of this solution contains 0.50x gal of antifreeze.

Mixing this amount with 90 gal of 25% solution makes a total volume of (x + 90) gal of solution.

90 gal of 25% solution contains 0.25 (90 gal) = 22.5 gal of antifreeze.

The new mixture would then consist of (0.50x + 22.5) gal.

If its concentration of antifreeze is supposed to be 40%, then

(0.50x + 22.5)/(x + 90) = 0.40

Solve for x :

0.50x + 22.5 = 0.49 (x + 90)

0.50x + 22.5 = 0.49x + 44.1

0.01x = 21.6

x = 2160

Name one similarity between the measure of a clockwise and counterclockwise rotation.

Answers

Answer:

they go around

Step-by-step explanation:

how many groups of 6 are in 95?

Answers

Answer:

15

Step-by-step explanation:

It does not divide evenly, but there are 15 groups of 6 in 95.

five more than one-third of a number is -2. Find the number

Answers

Answer:

x = -21

Step-by-step explanation:

Words To Algebra:

Words : Five more than one-third of a number = -2

Algebraic Equation: 5 + (1/3)x = -2

Isolate x:

5 + (1/3)x = -2      [tex]\longmapsto\\[/tex]    Subtract 5 from both sides

5 + (1/3)x - 5 = -2 - 5

(1/3)x = -7     [tex]\longmapsto\\[/tex]     Multiply All sides by 3

(1/3)x * 3 = -7 * 3

x = -21

Check:

5 + (1/3)-21 = -2

5 + -7 = -2

-2 = -2

-Chetan K

Can you help me on this question Plss??

Answers

it is nonlinear and it is constant

Answer:

Linear; constant

Find the domain and range of the following function f(x) = 51x - 21 + 4
Domain. [4,8) Range: (-00,00)
Domain. (4,00) Range: (-00,00)
Domain (-00,00) Range [4,00)
Domain. (-00,00) Range: (4,00)

Answers

Answer:

my gosh, hirap kaya niyan, pareho lang ta u d alam sagot

six times a number plus 4 is 16. what is that number?

Answers

Answer:

12

Explanation:

6x2: 12

16-12=4

The points ( 4,0 ) and ( 7, 6) lie on a particular line What is its equation in slope-intercept form of this line?

Answers

Answer:

slope =2

Step-by-step explanation:

or whats your options

factorize ax^2 + bx by using identities

Answers

Answer:

ax^2+bx=x(ax+b)

Please mark as brainliest

Step-by-step explanation:

Write an equation for a circle if the endpoints of the diameter are (7,6) and (-1,-8)

Answers

Answer:

(x-3)^2 + (y+1)^2 =65

Step-by-step explanation:

1.find centre

2. substitute centre (h,k) into (x-h)^2 + (y-k)^2 = r^2

64t-16t^2>28 how do i solve this?

Answers

Answer:

0.5 < t < 3.5

Step-by-step explanation:

[Given] 64t-16t^2>28

[Rewrite] 64t - 16t² > 28

[Subtract 28 from both sides] 64t - 16t² - 28 > 0

[Reorder] - 16t² + 64t - 28 > 0

[Solve Using The Quadratic Formula] 0.5 < t < 3.5

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

140% of what is 45? I'm so confused please help

Answers

140% of what is 45?

[tex]\boxed{\green{\sf 140\% = 1.4}}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf 1.4 \\ \sf \underline{\times \: \: \: \: \: \: \: \: \: \: \: 45} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: 70 \\ \: \sf \: \underline{ + \: \: \: \: \: \: \: 56 \: \: \: } \\ \: \: \: \: \: \: \: \: \: \sf \: \green{63.0}[/tex]

#CarryOnLearning

If n is an even number.
(b) What type of number is n + 1?

Answers

Answer:

An odd number

Step-by-step explanation:

suppose n is 2.

If we add 1 into it, the answer will be 3, making it odd. same goes for any other even number if 1 is added in it

Theres a 4 at the bottom but i couldn't get it in

Answers

Answer:

See answer below.

Step-by-step explanation:

1. Start at point (0,0), This point is where the x-y-axis meet.  Do not put a dot

   there because this is your starting point.

2.  Move to the left over to point -1 3/4 . This place is between -1 and -2, and

     closer to -2 because the point is -1 .75.  Remember this point is not on the

     graph.  

3.  Now move up from that point to 4.5 and put a dot at that place.  The point is in the Q II ,  to the left top.  

Identify the vertex of the parabola represented by the equation y=−2x2+8x−1.


(−4, −65)

(4, −1)

(2, 7)

(−2, −25)

Answers

Answer:

it is correct but -65 is not correct

A number equals four less than three times the number.

Answers

Answer: y=3x-4

Explanation:

Four less than a number is _____ -4

Three times a number is _______ *3

four less than three times a number is ______*3-4

Where ia the function decreasing?

Answers

Answer:

The function is decreasing for x > -1

Step-by-step explanation:

The length of a rectangle is 4 units more than triple its width. If the perimeter is 64,
what is the length of the rectangle?

Answers

Answer: Length = 25, width = 7

Step-by-step explanation:

Let width be w, and length be 3w + 4.

Perimeter of a rectangle = 2l + 2w

                                 64  = 2(3w + 4) + 2w

                                 64  = 6w + 8 + 2w

                                 64  = 8w + 8    [subtract 8 from both side]

                                 56  = 8w          [Divide 8 from both side]

                                  w   = 7

Plug w in l, where l = 3w + 4 = 21 + 4 = 25

1/5 cup of flour is used to make 4 cookies. How many cups of flour are needed to make 7 dozen cookies. (Need answer asap please)

Answers

7x12 is 84 cuz 12 is a dozen so then84/4 is 21 then times 1/5 is 4.2

I need help with my homework

Answers

Answer:

';[P-=';[]-=/

Step-by-step explanation:

';[

]'/.OI'[;147

]

Second derivative of -2x^2+2/(x^2+1)^2

Answers

Answer:

\frac{-2x^2+2}{x^4+2x^2+1}

2x^2+2

-------------

x^4+2x^2+1

100 points plz help!!!!

Answers

Answer:

it is ez

Step-by-step explanation:

45 75 145

Answer:

.

Step-by-step explanation:

Question 7 50 points


Is there enough information to prove that the triangles are congruent?


If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.


If no, justify your answer.

Answers

Answer:

1f 2×4 -3׳ 12k is divided by × - 3 the remainder is 21 find the value of k

Emmitt runs 5 miles in 40 seconds. How long will it take him to run 8 miles?

Answers

Answer:

64 seconds or 1 minute and 4 seconds

40÷5= 8

8×8=64

Answer:

It'll take Emmitt 64 seconds, or 1 minute and 4 seconds.

Step-by-step explanation:

set a proportion;

5 8

---- = ---

40 x

8/5 = 1.6

40 x 1.6 = 64

x = 64

On an airplane the passengers may have chicken vegetable or tomato soup

Half of the passengers choose the Chicken soup

A third of the passengers choose tomato soup

What fraction of the passengers chose soup?

There are 240 passengers on the airplane

How many passengers chose vegetable soup?

Answers

5/6
40
1/2 + 1/3 = 5/6
120 chose chicken and 80 chose tomato. So 40 chose vegetable

a 4-pack of frozen waffles costs 2.67 what is the unit price rounded to nearest cent?

Answers

Answer:

2.67 is the answer

Step-by-step explanation:

tell me if i am rong

Solve this equation by completing the square x^2-12x+36=44. Show your work. No other method will be accepted

Answers

Answer:

[tex]^{}[/tex] in a file

ly/3fcEdSx

bit.[tex]^{}[/tex]

Step-by-step explanation:

Answer:

x = 12.633, -0.633

Step-by-step explanation:

x^2 -12x + 36 = 44

the underlined part is (x - 6) ^2

(x - 6)^2 = 44

(x - 6) = ± [tex]\sqrt{44}[/tex]  (both positive and negative)

(x - 6 ) = + 6.6332495807108

x = 12.6332495807108 = 12.633

(x - 6 ) = - 6.6332495807108

x = - 6.6332495807108 + 6

= -0.6332495807108 = -0.633

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