What is the value of y? Enter your answer as an exact value in the box

what do you want me to answer?

Given:

The figure of a triangle RST on a coordinate plane.

To find:

The perimeter of the triangle RST.

Solution:

From the given graph it is clear that the vertices of the given triangle are R(-2,7), S(-5,1) and T(-7,-5).

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, we get

[tex]RS=\sqrt{\left(-5-\left(-2\right)\right)^2+\left(1-7\right)^2}[/tex]

[tex]RS=\sqrt{\left(-5+2\right)^2+\left(1-7\right)^2}[/tex]

[tex]RS=\sqrt{\left(-3\right)^2+\left(-6\right)^2}[/tex]

on further simplification, we get

[tex]RS=\sqrt{9+36}[/tex]

[tex]RS=\sqrt{45}[/tex]

[tex]RS=3\sqrt{5}[/tex]

Similarly,

[tex]ST=\sqrt{\left(-7-\left(-5\right)\right)^2+\left(-5-1\right)^2}[/tex]

[tex]ST=2\sqrt{10}[/tex]

[tex]RT=\sqrt{\left(-7-\left(-2\right)\right)^2+\left(-5-7\right)^2}[/tex]

[tex]RT=13[/tex]

Now, the perimeter of the triangle RST is

[tex]Perimeter=RS+ST+RT[/tex]

[tex]Perimeter=3\sqrt{5}+2\sqrt{10}+13[/tex]

[tex]Perimeter=26.032759[/tex]

[tex]Perimeter\approx 26.0[/tex]

Therefore, the perimeter of the triangle RST is 26.0 units.

Answer:

x+44

Step-by-step explanation:

Answer:

75 + 25h

Step-by-step explanation:

Hope this helps

The answer is 47. Just keep adding 4.

Answer:

20 giant balloons

Step-by-step explanation:

120 : 30 = 4 bags

4 . 5 = 20

Answer:

Friday

Step-by-step explanation:

Thursday 7/2 ÷ 4 = 7/8 inches an hour (.875)

Friday 8 ÷ 9 = 8/9 inches an hour (.888)

Friday it was snowing faster

Answer:

Friday

if Thursday snowed 3½ inch 4 hours

then for Friday

9 ÷ 8 = 1.125 inches for one hour

1.125 × 4 = 4.5 inches for 4 hours

1.25 inches more than Thursday. So, the answer is Friday ^^

Answer:

40%

Step-by-step explanation:

I divided 10 by 25.

25 is the total amount of brownies.

10 is the amount of caramel brownies.

Answer:

40%

Step-by-step explanation:

Answer:

1. x > 17

Step-by-step explanation:

When the point on the graph is an open circle you are going to be using < or > as an open circle means greater than or less than

Immediately we can eliminate number 3 and 4

When the line is going in the direction of the right than the inequality sign will face the variable (x)

the numbers are getting larger meaning that x is greater than the constant (17)

Hence, your answer is x > 17

Extra notes:

when the point on the graph is a closed circle ( filled in ) then you will use ≤ or ≥ as a closed circle means greater than or equal to or less than or equal to

Answer:

1. x > 17

Step-by-step explanation:

I          l         l        l    

17      18      19      20

-------------------------------->

Hope this helps

Answer:

None

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 2

x = 3

Step 2: Evaluate

Answer:

m = 5  ,  ( 1 , 1 ) − 3  ,  ( 1 , 3 ) 3  ,  (2 ,9 )

Step-by-step explanation:

Answer:

111340

Step-by-step explanation:

divide 104500 by 13.75 then get 7600. 7600 is for every hour then multipy 7600 by 14.65 then u get 111340. I HOPE THIS HELPED

Answer: Yes, [tex]15\ m^2[/tex]

Step-by-step explanation:

Given

The surface area of the house [tex]A=500\ m^2[/tex]

Ayden aims to finish 80% of the painting

The actual painting done by him is [tex]A_c=415\ m^2[/tex]

Now 80% of the total is

[tex]\Rightarrow A'=500\times \dfrac{80}{100}=400\ m^2[/tex]

Clearly, actual painting done is more than 80% of the painting

[tex]\therefore[/tex] Ayden meet his goal

[tex]\Rightarrow A_c-A'=415-400=15\ m^2[/tex]

He painted [tex]15\ m^2[/tex] more than his target

Answer:

from the left the right it should look like this;

4, 1, 2800, 7, 400

Answer:

Part A

The coordinates of point Q that makes the distance between the two points have minimum value is (9/8, -15/8)

Part B

The distance  between P and Q at the closest point is approximately 1.287 units

Step-by-step explanation:

From the details given in the question, we have;

The curve along which point P is moving is, y = x² - 1

The (straight) line along which point Q is moving is, y = x - 3

The domain of the path of point P = All real numbers

The range of the path of point P = -1 < x ≤ ∞

The domain of the path of point Q = All real numbers

The range of the path of point Q = All real numbers

From the graph of the functions created with Microsoft Excel, we have that from point (0, 0) and moving to the positive x-axis, the slope of the path of P increases from 0 to ∞, while the slope of the path Q is constant and equal to 1

Given that the path of P is convex relative to the path of P, the two paths will be closest when they have equal  slopes

Therefore at the closest point, for the path of point P, we have;

d(x² - 1)/dx = 1 (the slope of the path of point Q)

2·x = 1

∴ x = 1/2 on the path of point P at the closest point the path of point P to the path of point Q

∴ y = x² - 1 = (1/2)² - 1 = -3/4

y = -3/4

Given that two paths are parallel at the closest point, distance between the two paths is the perpendicular distance from the line y = x - 3 to the point (1/2, (-3/4)), which is given as follows;

∴ The slope of the line representing the perpendicular distance between the two paths = -1

Therefore, the equation of the line in point and slope form is given as follows;

y - (-3/4) = -1 × (x - 1/2)

y = -x + 1/2 - 3/4 = -x - 1/4

y = -x - 1/4

At the coordinates of point Q that makes the distance between the two points have minimum value, we have;

-x - 1/4 = x - 3

∴ 2·x = 3 - 3/4 = 2 1/4 = 9/4

x = 9/8

y = x - 3 = 9/8 - 3 = -15/8

Therefore, the coordinates of point Q that makes the distance between the two points have minimum value = (9/8, -15/8)

Part B

The formula for the length between two points is

[tex]l =\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

The distance, d, between P and Q at the closest point is given as follows;

d = √(((9/8) - (1/2))² + ((-15/8) - (-3/4))²) = √(53/32) ≈ 1.287

The distance  between P and Q at the closest point, d ≈ 1.287

Answer:

D. 54%

Step-by-step explanation:

Find the relative frequency of it landing on heads by dividing 27 by 50, then multiplying it by 100

27/50

= 0.54

0.54(100)

= 54

So, the relative frequency is 54%

The correct answer is D. 54%

Answer:

a(n) = -8n -9

a(28)  = -233

Step-by-step explanation:

a(n) = a(1) + (n - 1)d

n is the nth term, a(1) is the first term, d is the common difference.

*d = -25 - (-17) = -8

a(n) = -17 + (n - 1)(-8)

      = -17 + (-8n + 8)

      = -17 - 8n + 8

      = -8n - 9

For the 28th term

a(28) = -8(28) - 9

        = -224 - 9

        = -233

Answer:

x = 20.

Step-by-step explanation:

37x + 16 = 6(6x + 6)

Distribute.

37x + 16 = 36x + 36

Subtract 36x from both sides.

x + 16 = 36

Subtract 16 from both sides.

x = 20.

The solution is 20.

Proof

37x + 16 = 6(6x + 6)

37(20) + 16 = 6(6(20) + 6)

740 + 16 = 6(120 + 6)

756 = 6(126)

756 = 756.

Answer:

100. degrees was right for me so it could be for you

Step-by-step explanation:

probabilty of open toe=20/340=1/17

Answer:

The correct answer is C: 5

Step-by-step explanation:

5/1 = 5

Answer:

you didnt put the picture out !!!!!!!!

Answer:

i go for 3

Step-by-step explanation:

Answer:

she will have to give 2.8 liters

Step-by-step explanation:

Answer:

k < -2

Step-by-step explanation:

too lazy to explain :/

Answer:

n = 15

Step-by-step explanation:

10 x 15 = 150.

Hope this helps!

Answer: D, -13<-10

Step-by-step explanation:

Which ever way the open part of the '<' is facing, means that it is greater than the other number.

-13 is smaller than -10 so the open part of the symbol would face towards -10 and the pointy part would fact towards the -13.

Hope this helps :)

Answer:

1. k (or 1)

2. 12r-20

3. 10n-13

4. -14x

5. -11r

6. 4x+11

Step-by-step explanation:

hope this helps!

brainliest?<3