Find the area of the triangle.




The area of the triangle is square units.

Step-by-step explanation:

360÷60=6 one angle

a=18

b=36

c=84

d=108

e=114

The equation of line is given by y = ( 1/6 )x + 5 , where the slope of the line m is = 1/6

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = ( 1/6 )x + 5   be equation (1)

Now , it is of the form y = mx + b where m is the slope and b is the y-intercept

So , the slope of the line A is given by

Slope m = ( 1/6 )

Now , the line is plotted in the graph below

Hence , the equation of line is y = ( 1/6 )x + 5

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ5

The line with the equation y = 1/6x + 5 is graphed in the image attached below.

Line represents the linear relationship in the coordinates forming a line.

To plot the given equation:

[tex]y=\frac{1}{6}x+5[/tex]............................................1

Take points which satisfies the given equation,

Let x=0,

from equation 1

y=0+5

y=5

So, plot A=(0,5) on the number line.

Similarly, at x=6 from equation 1

y=6/6+5

y=6

Then, plot B=(6,6) on the number line.

Similarly, at x=-6 from equation 1

y=-6/6+5

y=4

Then, plot C=(-6,4) on the number line.

Thus, draw a line joining this points and extrapolate it from both the ends as shown in the image attached below.

Learn more about line, here:

https://brainly.com/question/15389863

#SPJ6

9514 1404 393

Answer:

  19) x = number of people; y = cost

  20) (people, cost) = (15, 120) and (25, 200)

  21) the rate of change is $8 per person

  22) y = 8x

  23) $320

Step-by-step explanation:

19) The problem statement tells you x is the number of people and y is the cost.

__

20) Writing the pairs (people, cost), we have ...

  (15, 120) and (25, 200)

__

21) The rate of change can be found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (200 -120)/(25 -15) = 80/10 = 8

The rate of change is $8 per person.

__

22) In point-slope form, the rule is ...

  y -y1 = m(x -x1)

  y -120 = 8(x -15)

  y = 8x -120 +120

  y = 8x

__

23) For x=40, y = 8(40) = 320

A party for 40 people will cost $320.

Answer:

9is an irrationalnfunction which would be 0=y^2+x^2 while 10 is y=-x^2+3

Answer:

X=0,X= -3,X=2

Step-by-step explanation:

y=x^3+x^2-6x

0=x^3+x^2-6x

x^3+x^2-6x=0

x ×(x^2+x-6)=0

x ×(x^2+3x-2x-6)=0

x ×(xx(x+3)-2(X+3))=0

x ×(x+3)x(x-2)=0

x=0

x+3=0

x-2=0

x=0

x= -3

x=2

sana nakatulong

Answer:x =24

Step-by-step explanation: If we reverse that we will get x= 32x3/4 which is 24

Answer:

x = -24

Step-by-step explanation:

(-4/3)x -6 =26

Add 6 to both sides:

(-4/3)x = 32

(-4/3) = -1.33333333

divide both sides by -1.33333333

x = -24

Substitute:

(-4/3)(-24) -6 =26

32 - 6 = 26

26 = 26

x = -24

Answer:

y=13/16 minus 11x/16

I hope this helps :-)

Answer:

[tex]x^{\frac{2}{3}}y^{\frac{2}{3}}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{x^{2}y^{2}} = (x^{2}y^{2})^{\frac{1}{3}}\\\\\\[/tex]

          = [tex]=(x^2)^{\frac{1}{3}}y(^{2})^{\frac{1}{3}}\\\\\\= x^{2*{\frac{1}{3}}}y^{2*{\frac{1}{3}}}\\\\=x^{\frac{2}{3}}y^{\frac{2}{3}}[/tex]

Answer:

y > 1/2x - 1

First, draw the dashed line y = 1/2x - 1 (slope intercept ; y = mx + b).

Start at -1 on the y-axis, and continue going 2 units to the right, and 1 unit up for the right side of the graph.

Then starting at -1 on the y-axis, continue going 2 units to the left, and 1 unit down for the left side of the graph.

Explanation:

Convert standard form (Ax + By = C) by isolating y from the rest of the equation.

Ax + By = C → y = -Ax/B + C/B → y = mx + b.

Given a standard form equation in inequality form,

x - 2y < 2.

Set it to slope-intercept as an inequality to find the slope and y-intercept.

When negating (making opposite) a variable, you flip the inequality.

x - 2y < 2 → x - 2y - x < 2 - x → -2y < -x + 2 → 2y > x - 2 → y > 1/2x - 1.

Answer:

Actually,there x is qual to ninty minus x because of vertically opposite side...cauce ninty minus x comes in vertical opposite side by dragging the ninty minus x down ...so finally x is equalto ninty minus x and two x is equal to nintynow divide ninty by nine it's your ans.

Answer:

-2

you take two away every time

Answer:

Step-by-step explanation:

Using the area model and standard algorithm, we have:

                332   (tenths)

          ×       21  

                332

             664    

             6972   tenths = 697.2

              30      +      3      tenths

     1       300           32         332

    20     600           64         664

33.2 × 21 =    30     ×    1      =        30    

Answer:

D. Everyone 10+

Step-by-step explanation:

This is the most popular age group when it comes to age ratings. For example, Mario Kart is an Everyone 10+ game.

Answer:

B

Step-by-step explanation:

if it is a vertical line, x=1 for all values of y

Answer:it’s B i just took this

Step-by-step explanation:

Answer:

61 or 33

Step-by-step explanation:

47+14=61 or 47-14 =33

Answer:

I can help

Step-by-step explanation:

Quarters in help is 61 but in money its $16. Hope this helps.

Answer:

Step-by-step explanation:

1.458

The 5 is in the hundredths place

Answer:

18 bags of coffee

Step-by-step explanation:

12 divided into 2/3 is the same as   12 multiplied by 3/2

12 x (3/2) = 18

18 bags x( 2/3) pounds of coffee  each  = 12 pounds of coffee

Answer:

medium

Step-by-step explanation:

Mediums were sold the most, and this size had the least amount remaining at the end of the event. Hope this helps  

Answer:

medium!! {a p e x :))}

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

Step-by-step explanation:

small: 160/225=0.71*100=71 shirts

medium: 335/375=0.893*100=89 shirts

large: 275/325=0.846153*100=85 shirts

x-large: 125/175=0.714285*100=71 shirts

based on the math above, the medium shirts sell the best, which means that the vendor should bring more of the medium shirts

Answer:

m=-1

Step-by-step explanation:

The line is going down as x increases, so the slope is negative. Next, we can find the value for m by taking the equation:

m=(y2-y1)/(x2-x1)

m=(3-(-1))/(0-4)

m=4/-4

m=-1

9514 1404 393

Answer:

Step-by-step explanation:

The rate of change in each case can be found by dividing right-column differences by left-column differences.

Table 1

  (56 -54)/(10 -9) = 2/1 = 2 . . . the constant rate of change

__

Table 2

  (3 -0)/(4 -0) = 3/4 . . . the constant rate of change

_____

Additional comment

Often, in math problems of this sort, you fill in a blank with a number. Above, we have computed those numbers. In real life, it is useful to consider the units that go with that number. The units are divided in the same way the numerical values are.

Table 1: 2 in/yr

Table 2: 3/4 °C/h

Answer: Graph A

Step-by-step explanation:

SLOPE : rise over run, so from any point, if 3 units go up, 4 units go right, and there should be a another point

Y-INTERCEPT : -3

Answer:

this is easy just place the value of x in the formula

Step-by-step explanation:

1) y=-2x-5 this wpuld equal y=-2(-6)-5

i am going to do one and you do the rest

y= -2(-6)-5

y= (12)-5

y= -60

Now i got 12 positive because is we look at the rule os signs -+-=+

so -2(-6)= 12

and the pharentesis= multiplication

Answer:

1

Step-by-step explanation:

(- 4)² + 6(- 4) + 9 = 16 - 24 + 9 = 1

Answer:

44%

Step-by-step explanation:

There are a total of 25 tiles. 11 of them are shaded. To solve this divide 11/25*100. This equals 44%.

Answer:

10 $ a year

Step-by-step explanation:

Answer:

16 dollars

Step-by-step explanation:

earned in first 6 years: 100 dollars

100/6 is roughly 16 dollars

hope this helps! :)

Answer:

Pia drove faster than Ben, because they drove for the same amount of time, but Pia traveled farther. Pia drove 20 more kilometers than Ben, but she and Ben drove for the same amount of time.

Step-by-step explanation:

Step-by-step explanation:

This is answer. I'm sri lankan. But our a/l exam have this mathematics questions

The remainder when the polynomial p(x) = 2x³ + 4x² - 2x + 12 is divided by x + 3 is -6.

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

The remainder theorem states that for a polynomial, f(x) divided by a linear polynomial , x - a, the remainder is equal to f(a).

Given the polynomial; p(x) = 2x³ + 4x² - 2x + 12, since it is divided by x + 3, hence:

x + 3 = 0

x = -3

p(-3) = 2(-3)³ + 4(-3)² - 2(-3) + 12 = -6

Hence the remainder when the polynomial p(x) = 2x³ + 4x² - 2x + 12 is divided by x + 3 is -6.

Find out more at: https://brainly.com/question/13416073