Find the value of x.

[tex]\dag\bf\:P(x_1,y_1)=(3,0)[/tex]

[tex]\dag\bf\:Q(x_2,y_2)=(-1,3)[/tex]

[tex]\dag\bf\:R(x_3,y_3)=(11,6)[/tex]

❅ Distance between P and Q :

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

[tex]\sf\:PQ=\sqrt{(-1-3)^2+(3-0)^2}[/tex]

[tex]\sf\:PQ=\sqrt{(-4)^2+(3)^2}[/tex]

[tex]\sf\:PQ=\sqrt{16+9}[/tex]

[tex]\sf\:PQ=\sqrt{25}[/tex]

[tex]\bf\:PQ=5\:unit[/tex]

❅ Distance between Q and R :

[tex]\sf\:QR=\sqrt{(x_3-x_2)^2+(y_3-y_2)^2}[/tex]

[tex]\sf\:QR=\sqrt{(11-(-1))^2+(6-3)^2}[/tex]

[tex]\sf\:QR=\sqrt{(12)^2+(3)^2}[/tex]

[tex]\sf\:QR=\sqrt{144+9}[/tex]

[tex]\sf\:QR=\sqrt{153}[/tex]

[tex]\bf\:QR=12.37\:unit[/tex]

❅ Distance between P and R :

[tex]\sf\:PR=\sqrt{(x_1-x_3)^2+(y_1-y_3)^2}[/tex]

[tex]\sf\:PR=\sqrt{(3-11)^2+(0-6)^2}[/tex]

[tex]\sf\:PR=\sqrt{(-8)^2+(-6)^2}[/tex]

[tex]\sf\:PR=\sqrt{64+36}[/tex]

[tex]\sf\:PR=\sqrt{100}[/tex]

[tex]\bf\:PR=10\:unit[/tex]

◈ Perimeter of Triangle :

➝ perimeter = PQ + QR + PR

➝ perimeter = 5 + 12.37 + 10

➝ Perimeter = 27.37 unit

Answer:

10. <PTR = 80

11. < PTQ = 45

12. <QTS = 130 - 45 = 85

13. Luis didn't subtract 80 by 40

14. 180

Answer:

-x,y

Step-by-step explanation:

The coordinates of the image (9, -8) after a rotation of 90° counter-clockwise about the origin.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions on the actual figure or object

A rotation of 90° counter-clockwise about the origin is defined as the x-coordinate and y-coordinate change places, and the line y = x is the coordinates (-x , y).

To determine the image of the point (-9, -8) after a rotation of 90° counterclockwise about the origin

Suppose, the coordinates are (a,b)

A point (a,b) reflected across the line y = -x will become (-a,b).

Let a = -9 and b = -8

Substitute the values of a and b,

So the coordinates of image (9, -8)

Hence, the coordinates of the image (9, -8) after a rotation of 90° counter-clockwise about the origin.

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Answer:

5

Step-by-step explanation:

15(8/(8+16))

15(8/(24))

15(1/3)

5

Answer:

4.95

Step-by-step explanation:

15(8÷(8+16))

= 15(8÷24)

= 15×0.33

Reason for this answer↑: It was written as “8÷24” not “24÷8”

= 4.95

Answer:

A) 27 = 3 × 3 × 3

B) 64 = 2 × 2 × 2 × 2 × 2 × 2

C) 125 = 5 × 5× 5

Step-by-step explanation:

Answer:

(A) 27 = 3 by 3 by 3

(B) 64 = 2 by 2 by 2 by 2 by 2 by 2

(C) 125 = 5 by 5 by 5

Step-by-step explanation:

Answer:

[tex]y = 2x - 6[/tex]

Step-by-step explanation:

Given

Equation: [tex]y = 2x - 6[/tex]

Required

Determine the equation of Point: (5,4)

First, we need to determine the slope of [tex]y = 2x - 6[/tex]

The general form of an equation is [tex]y = mx + b[/tex]

Where m represents the slope;

Hence; [tex]m =2[/tex]

Since the equation and the point are parallel. then they have the same slope (m).

[tex]m = 2[/tex]

Next, is to determine the equation of the point, using the following formula:

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

Where

[tex](x_1,y_1) = (5,4)[/tex]

So, the equation becomes

[tex]2 = \frac{y - 4}{x - 5}[/tex]

Cross Multiply

[tex]y - 4 = 2(x - 5)[/tex]

Open Bracket

[tex]y - 4 = 2x - 10[/tex]

Make y the subject of formula

[tex]y = 2x - 10 + 4[/tex]

[tex]y = 2x - 6[/tex]

Hence, the equation is [tex]y = 2x - 6[/tex]

Answer:

102

Step-by-step explanation:

Given f(x) =18x+12

F(5)=18(5)+12

=90+12

=102

Answer:

54 Stars

Step-by-step explanation:

Step 1:

60 mins = 1 Hour

Step 1:

10 × 6 = 60

Step 2:

9 × 6 = 54

Answer:

54 Stars

Hope This Helps :)

Answer:

54

In 1min star cutted= 9÷10

So in 1 hr or in60 min star cutted =60×9÷10

=54

Answer: 1

Explanation: In this problem, b - a is equal to 3 - 2 which gives us 1.

Answer:

Step 1: Take the absolute value of each number. Step 2: Subtract the number with a smaller absolute value from the number with bigger or larger absolute value. Step 3: Copy the sign of the number with the bigger or larger absolute value.

Step-by-step explanation:

Answer:

0.89

Step-by-step explanation:
it was right

The value of the trigonometric function sin 63° is 0.89. So option C is correct.

Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.

There are 6 commonly used functions in trigonometry with their name and abbreviations-

sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)

Given that,

the trigonometric function is sin63°

the value of sin63° = ?

One of the way to calculate the value of sin63° is by using calculator

And from the calculator its value can be estimated as 0.89100

After round figure up-to two  digit

we can write the value sin63° is 0.89.

Hence, the value of the function from the calculator is comes out as 0.89.

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Answer:

[tex]b = \frac{c - ax}{y}[/tex]

Step-by-step explanation:

[tex]ax + by = c \\ by = c - ax \\ b = \frac{c - ax}{y} [/tex]

Answer:

i think its 21x^10

Step-by-step explanation:

Answer:

radius

Step-by-step explanation:

i believe it is radius because in my point of view it looks like the line travels up to the half of the circle.

Answer:

50

Step-by-step explanation:

you toss the ball 24 times, and of those 24 times, it lands 12 times on the yellow section, so 12/24= 0.5

Answer: 50

Step-by-step explanation:

Answer: monday aug 13

Step-by-step explanation:

Step-by-step explanation:

Hey there!!

Given, The ratio is: 5:7

Let x be a common factor.

Now,

5x+7x = 60

12x = 60

[tex]x = \frac{60}{12} [/tex]

Therefore, x= 5.

5x = 5×5 = 25.

7x= 7×5=35.

Hope it helps...

Answer:

49

Step-by-step explanation:

She can buy 46 more and she has three, so she can own 49

Answer:

Maria can own 15 necklaces.

Step-by-step explanation:

Sorry if i'm wrong but i hope this helps : )

Answer:

Each friend is running a half mile.

They are running 1/2 mile.

The operations of addition, subtraction, multiplication, division, exponentiation, and modulus are carried out by the arithmetic operators.

They cover the study of numbers, including the order of operations, which are useful in algebra, data handling, and geometry, among other areas of mathematics.

Given Hotah and his 3 friends are each running 1/4 of a 2-mile relay race

total distance covered by them out of 2 miles is

2 x 1/4 = 1/2 miles

Therefore each person runs at 1/2 a mile.

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Answer:

Step-by-step explanation:

Inequality and equality is that inequality is an unfair, not equal state while equality is (uncountable) the fact of being equal.

Answer:=6x2+5x + −4/15

Step-by-step explanation:Let's simplify step-by-step.

8x2−3x+13−(2x2−8x+3/5)

Distribute the Negative Sign:

=8x2−3x+13+−1(2x2−8x+3/5)

=8x2+−3x+13+−1(2x2)+−1(−8x)+−1(3/5)

=8x2+−3x+13+−2x2+8x+−3/5

Combine Like Terms:

=8x2+−3x+1/3+−2x2+8x+−3/5

=(8x2+−2x2)+(−3x+8x)+(1/3+−3/5)

=6x2+5x+−4/15

Answer:

X,6,1

Step-by-step explanation:

i mean thats what i think the answer is.

it flips down over the x axis. (x)

then it moves right 6 (x+6)

then it moves up one (y+1)

Answer:

Repeating Decimals and Terminating Decimals

Step-by-step explanation:

Any number that can be written in fraction form is a rational number.

Hope This Helps :)

Answer:

A) Steve = Ryan +18

B) Steve + Ryan = 144

A) Steve -Ryan = 18 then adding B

B) Steve + Ryan = 162

2 Steve = 162

Steve weighs 81 pounds

Ryan weighs (81 -18) pounds 63 pounds

Step-by-step explanation:

Answer:

part 1: You start with an annual "simple interest rate," which is the percentage of the principal balance your money earns each year. ... Add the daily interest earned to the balance.

part 2: Simple interest is based on the principal amount of a loan or deposit. In contrast, compound interest is based on the principal amount and the interest that accumulates on it in every period.

part 3: a compound interest account and here's why. When it comes to investing, compound interest is better since it allows funds to grow at a faster rate than they would in an account with a simple interest rate

Step-by-step explanation:

Answer:

Toni can carry a total of 5 books.

Step-by-step explanation:

[tex]1+2+3b\leq18[/tex] - Write the inequality out .

[tex]3+3b\leq 18[/tex] - Combine like terms.

[tex]3b\leq 15[/tex]  - Subtract 3 from both sides .

[tex]b\leq 5[/tex] -  Divide both sides by 3.

She can carry a max of 5 books.

Hope this helps!

Answer:

hello guys images not coming

Step-by-step explanation:

please send the image clearly

14 mph

Step-by-step explanation:

13.636364

is what you get by doing

100/15 then you get 6.6666......7

after that you multiply that by 3600 because thats how many seconds in that hour.

Then you get 24000 and transfer it to miles and get 13.636364 and you round it and get 14mph

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