Find the area and perimeter of each given triangle

Answer:

[tex]y = \dfrac{2x}{5} - \dfrac{1}{5}[/tex]

Step-by-step explanation:

Given:

[tex]\bullet \ \ \text{Slope of line:}\ \dfrac{2}{5} \\\\ \bullet \ \text{Passes through:} \ (3, 1)[/tex]

To determine the equation of the line, we will use point slope form.

Formula of point slope form:

Where "x₁" and "y₁" are the coordinates of the point and "m" is the slope.

Substitute the coordinates and the slope:

[tex]:\implies y - 1 = \dfrac{2}{5} (x - 3)[/tex]

Simplify the R.H.S:

[tex]:\implies y - 1 = \dfrac{2x}{5} - \dfrac{6}{5}[/tex]

Add 1 both sides:

[tex]:\implies y - 1 + 1 = \dfrac{2x}{5} - \dfrac{6}{5} + 1[/tex]

Simplify the equation:

[tex]:\implies y = \dfrac{2x}{5} - \dfrac{6}{5} + \dfrac{5}{5}[/tex]

[tex]:\implies \boxed{y = \dfrac{2x}{5} - \dfrac{1}{5}}[/tex]

Graphing the line on a coordinate plane:

In this case, we are already given a point (3, 1). We can simply plot the y-intercept [tex][\bold{\frac{-1}{5} }][/tex] on the coordinate plane. Then, we can draw a straight line through both points. It is suggested that you use a ruler to do so.

Graph attached**

Answer:

See attachment and explanation

Step-by-step explanation:

slope is x/y, which means for each x how many y's it moves by.

so,

2/5 means for every 2 x's it goes up by 5 y's.

so,

you take the point A and go right 2 and go up 5. That's the next point (5,6)

Same with the point other side of A. Go left 2 and go down 5. That's another point (1,-4)

Since, the slope 2/5 is positive, the line will be an increasing line. As shown in the attached image.

Answer:

41.75

Step-by-step explanation:

First we divide :)

25/15 = 1.67

Now we multiply!!

1.67 x 25 = 41.75

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Answer:

48 1/3

Step-by-step explanation:

Answer:29/3 x 10 = 290 / 3 = 96 2/3 inches

Step-by-step explanation:

Answer:

c. x>1

Step-by-step explanation:

-26 + 13x + 2 > 2 - 13x

-26 + 13x > -13x

13x + 13x > 26

26x > 26

= x>1

The value of x after the simultaneous rotation and translation of pentagon A to create pentagon B is 110°

A plane figure translation is an isometry that translates each position of the figure at a distance and in a direction indicated by the vector.

It is also regarded as a sort of transformation that involves sliding each point in a plane figure at an identical distance in a similar direction.

From the attached image, the value of x after the simultaneous rotation and translation of pentagon A to create pentagon B is 110°.

Learn more about the translation of plane figures here:

https://brainly.com/question/2467920

Answer: 16

to find the mean you have to add all the numbers up and divide it by how many numbers are in the set

Answer:

[tex] \frac{10 + 5 + 7 + 14 + 19 + 32 + 25}{7} \\ = 16[/tex]

Answer:

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

Step-by-step explanation:

while the other answer is not wrong in this case, it is not complete.

"congruent angle" means the angles are equal.

so, yes, diagonally down is one, but also at exactly the same 2 spots over at the intersection point of the blue line with the second parallel red line.

Answer:

7.2 feet

Step-by-step explanation:

Torque is calculated by T=Frsin(theta). Betty's total torque is 9 x 1000 (mg) = 9000. Since ginger weighs 125 pounds, 9000 = (125 x 10) x r. Solve for r and get 7.2 feet.

Answer:

13 teams

Step-by-step explanation:

You have 351 children, and each team has 27 players.
Putting this into an equation you get:

351 ÷ 27 = x
x = 13

Answer:

  k = p/(rs)

Step-by-step explanation:

The equation that represents p varying jointly with r and s will be ...

  p = k·r·s . . . . . . . . for some constant of variation k

__

Solving this equation for k gives ...

  k = p/(rs) . . . . . divide by the coefficient of k

Answer:

   (b)  –4g^4 – 3g^3 + 4g^2 + 5g + 3

Step-by-step explanation:

The simplification process is described and partially carried out. We are to finish by combining like terms and writing the result in standard form.

__

  g^2 + (–4g^4) + 5g + 9 + (–3g^3) + 3g^2 + (–6) . . . . given

The like terms are the g^2 terms and the constants.

  = (1 +3)g^2 + (–4g^4) +5g +(9 +(–6)) +(–3g^3)

  = 4g^2 +(–4g^4) +5g +3 +(–3g^3)

__

In this form, the terms are written in order of decreasing degree.

  = –4g^4 –3g^3 +4g^2 +5g +3

Answer:

(b)  -4g^4 - 3g^3 + 4g^2 + 5g + 3

Step-by-step explanation:

Ed22

Answer:

$14.00

Step-by-step explanation:

So, the 20 peaches all weigh 4 oz, and there are 16 oz in 1 pound. 16 oz divided by 4 is also equal to 4 oz, so we need to divide $2.80 by 4, which would be $0.70. That means that a 4 oz peach would be $0.70, so we multiply that by 20, which gives us $14.00, so Stacey will need $14.00 to buy 20 peaches that each weigh 4 oz.

The services will be provided by a full-service broker but not by a discount broker will be the research of potential investment opportunities, purchase, and sale of stock at your request.

A broker is a person or company who works as a go-between for an investor and a securities exchange. Securities exchanges only accept orders from people or businesses that are members of the exchange.

The services of a full-service broker include;

1. Look into investment alternatives that may be advantageous.

2. Can trade in stock at a client's request.

The services will be provided by a full-service broker but not by a discount broker will be the research of potential investment opportunities, purchase, and sale of stock at your request.

Hence option a ( i and iii ) are correct.

To learn more about brokers refer to the link;

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Answer:

A

Step-by-step explanation:

100% on edge

Answer:

Center = (5,-3)     radius = sqrt (36) = 6

Step-by-step explanation:

Answer: H is approximately 3ft (to nearest whole number)

Step-by-step explanation:

250 = π(5)²h

250 = 25×3.14×h

250 = 78.5h

H = 250/78.5h = 3.19

I hope this helps you out love!

Answer:

x less thsn 4

Step-by-step explanation:

hope it helps

Answer: C. x less than 4

Step-by-step explanation:  X is not the variable being subtracted, and 4 is the variable being subtracted, therefore the answer is C. x less than 4 because this does not describe x - 4

Answer:

[tex]24cm^{2}[/tex]

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The area covered by all the sprinkler heads together is approximately 169.64 ft2.

We have given

6 sprinklers are shown on gridlines.

Each sprinkler has a diameter of 6 feet.

The irrigation design for a new backyard is shown with six sprinkler heads and two walkways.

One sprinkler has a diameter of 6 feet.

So the radius is 3.

The area for one sprinkler is given by,

[tex]A=\pi r^{2}[/tex]

[tex]A=3.14\times 3^2\\A=28.26[/tex]

So the area covered by one sprinkler is 28.26 feet ^2.

For six sprinkler is given by

[tex]=6\times 28.26[/tex]

=169.64 ft^2

The answer is B.

The area covered by all the sprinkler heads together is approximately 169.64 ft2.

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Answer:

b

Step-by-step explanation:

Answer:

$0.14 per fl oz /// 256 fl oz of juice.

Step-by-step explanation:

The number of fluid oz per gallon = 128

2 gallons = 256 fl oz

$35.84/256= $0.14.

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

1 gallon = 128 fl oz.

128x2 = 256

2 gallons = 256 fl oz.

Answer:

Jamie has 14 nickels and 56 dimes

Step-by-step explanation:

Start by identifying labels for the # of dimes and nickles. Lets use x for nickels and y for dimes.

From here you can make two formulas (x + y = 70) and (5x + 10y = 630) when you put them into a graphing calculator they should intersect at (14,56) which means the x = 14 and y = 56

Answer:

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Answer:

40/27 or

1 and 13/27

Step-by-step explanation:

Use Keep-Change-Flip to divide fractions.

Problem:

5/9 ÷ 3/8

KEEP the first fraction, the 5/9, just copy it exactly, no changes.

CHANGE the ÷ to ×

5/9 ×

FLIP the second fraction, the 3/8. Flip it over (reciprocal)

5/9 × 8/3

Now do this problem. You can "cancel" (which is really dividing) or multiply straight across (top×top, bottom×bottom)

5/9 × 8/3

= 40/27

This cannot be reduced. It is a perfectly good answer just like this. But since there is a larger number on top, your teacher/class/book/program, might want you to change it to a mixed number.

40/27 = 1 13/27

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{4}~,~\stackrel{y_1}{-1})\qquad B(\stackrel{x_2}{9}~,~\stackrel{y_2}{7}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 9 + 4}{2}~~~ ,~~~ \cfrac{ 7 -1}{2} \right)\implies \left(\cfrac{13}{2}~~,~~\cfrac{6}{2} \right)\implies \left( 6\frac{1}{2}~~,~~3 \right)[/tex]

Answer:

the new volume is

v = 5508

The volume of the cylindrical straw of diameter 6 mm and length of 270 mm is 7630.20 mm³

volume of a cylinder = πr²h

Therefore,

Hence,

radius = r = 6 / 2 = 3 mm

volume of the cylinder = 3.14 × 3² × 270

volume of the cylinder = 3.14 × 9 × 270

volume of the cylinder = 7630.2 mm³

Therefore, the volume of the straw is 7630.2 mm³

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Answer:

if you want i can make it into typed numbers with no file just tell me in the comments

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here is your answer BEST friend  :)

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Answer:

(-1,-3)

Step-by-step explaintion:

hope this helps!!

btw i just chnaged the x and y sign coordinates, thats all u needa do !!

Answer:

3.53 g/cm^3.

Step-by-step explanation:

Density = mass/volume

= 14.12/ 4

= 3.53 g/cm^3.

Answer:

h(.5)= -16(.5)^2 + 50

= 46