what is the distance between (-1,-2) and (8,10)

Answer:

16 girls in the class

14 boys in the class

Step-by-step explanation:

Because of the ratio of 7:8, I added 7+8.

7+8= 15

30 (the number of students in the class) divided by 15 (the sum of the ratio)

30/15= 2

I then multiplied 8 from the "girls" part of the ratio by 2 (the quotient of 30/15) and got 16. Then I subtracted 16 from 30 and got 14, which s the number of boys in the class.

Hope this helps!

Step-by-step explanation:

hope this helps. I worked out then posted.

Answer:

7/24

Step-by-step explanation:

The probability would be 28/96, but we can simplify this fraction:

Divide 2 on both sides:

14/48

Divide 2 again:

7/24

So 7/24 is your answer! :) I hope I helped!

Given:

PQRS is a circle, PQT and SRT  are straight lines.

To find:

The value of x.

Solution:

Since PQRS is a circle, PQT and SRT  are straight lines, therefore, PQRS isa cyclic quadrilateral.

We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.

[tex]m\angle SPQ+m\angle QRS=180^\circ[/tex]

[tex]81^\circ+m\angle QRS=180^\circ[/tex]

[tex]m\angle QRS=180^\circ-81^\circ[/tex]

[tex]m\angle QRS=99^\circ[/tex]

Now, SRT  is a straight line.

[tex]m\angle QRT+m\angle QRS=180^\circ[/tex]             (Linear pair)

[tex]m\angle QRT+99^\circ=180^\circ[/tex]

[tex]m\angle QRT=180^\circ-99^\circ[/tex]

[tex]m\angle QRT=81^\circ[/tex]               ...(i)

According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.

Using exterior angle theorem in triangle QRT, we get

[tex]m\angle PQR=m\angle QRT+m\angle QTR[/tex]

[tex]x=81^\circ+22^\circ[/tex]

[tex]x=103^\circ[/tex]

Therefore, the value of x is 103 degrees.

Answer:

[tex]14[/tex] units

Step-by-step explanation:

Since both points have the same y-coordinate, we can calculate the distance between them by taking the absolute difference of their x-coordinates. Therefore, the distance between them is [tex]|-6-8|=|-14|=14[/tex] units. Hope this helps!

Answer:

-12

Step-by-step explanation:

6G = -72

G = -72 / 6

G = -12

9514 1404 393

Answer:

  -8, +9

Step-by-step explanation:

You need factors of (6)(-12) = -72 that have a sum of +1.

From your knowledge of multiplication tables, you know that 72 = 8·9. Then -72 = (-8)(9), and those two factors have a sum of +1.

  6x^2 +x -12

  = 6x^2 +9x -8x -12

  = 3x(2x +3) -4(2x +3)

  = (3x -4)(2x +3)

Answer:

-11x + 2y

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) Frequency table:

Category       Frequency

Dog                     4

Cat                       3

Fish                      2

Hamster               1

b) Relative frequencies of each animal type

Dog: 4/10 = 0.4

Cat: 3/10 = 0.3

Fish: 2/10 = 0.2

Hamster: 1/10 = 0.1

c) Popularity

Dog is the most popular because it has the highest relative frequency.

Hamster is the least popular because it has the lowest relative frequency.

[tex]a = 640s[/tex]

[tex]a = 640(7.5)[/tex]

[tex]a = 4800 \: [/tex]

She owns 4800 acres.

Answer:

4,800 acres

Step-by-step explanation:

Answer:

Step-by-step explanation:

w=204.8

Answer:

204.8

Step-by-step explanation:

8x25.6=204.8

DOuble Check:

204.8 divided by 25.6=8

Answer:

x + 5 = ,3

Step-by-step explanation:

x+5-5= +3-5

x= -2

Answer:

Median is: 18

Interquartile range: 4

Range: 18

Step-by-step explanation:

hope this helps!

Answer:

24 units²

Step-by-step explanation:

4(12)/2=24

Answer:

5 - numerator

6 - denominator

Answer:I think 7

Step-by-step explanation:

Answer:

C. 5

Step-by-step explanation:

plato

Answer:

C. 5

Hope this helps!

Step-by-step explanation:

Answer:

V≈ 4.19in³

Step-by-step explanation:

V=4/3 π r³= 4/3 ·π· 1³ ≈4.18879in³

Answer:

x = 9

Step-by-step explanation:

3 - √x = 0

Subtract 3 from both sides of the equation

3 - 3 - √x = 0 - 3

-√x = -3

Divide both sides by -1

-√x / -1 = -3 / -1

√x = 3

Take the square of both sides

(√x) ² = 3²

X = 9

Answer:

If AB is 16, then AD is 8.

If AB = 12 and CB = 10, then the height of the triangle is 8.

Step-by-step explanation:

AD = [tex]\frac{AB}{2}[/tex], so AD is equal to 8.

Use the Pythagorean Theorem, [tex]\sqrt{10^{2} - 6^{2}}[/tex] equals 8, so the height of the triangle is equal to 8.

Answer:

13.....square

14....parallelogram

15....rhombus

16....trapezium

17...kite

18....rectangle

Answer:

#13 is a square, #14 is a rectangle, #15 is a rhombus, #16 is a trapezoid, #17 is a qaudrilateral, and #18 is a rectangle also.

Hope this helps :)

Answer:

The slope Is 1.

Step-by-step explanation:

If you graph the two points it shows that the graph is done.

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (15, 20) and (x₂, y₂ ) = (20, 25)

m = [tex]\frac{25-20}{20-15}[/tex] = [tex]\frac{5}{5}[/tex] = 1

Step-by-step explanation:

step 1. we will denote the average rate of change as r.

step 2. r = (f(5) - f(3))/(5 - 3)

step 3. r = (375 - 81)/2

step 4. r = 294/2

step 5. r = 147.

step 6. note: this is just like finding m. m = (y2 - y1)/(x2 - x1)

Answer:

B, 8+12

Step-by-step explanation:

2 + 3 is 5, 4 × 5 = 20

Therefore the only option which equals 20 is B.

Answer:

30

Step-by-step explanation:

\text{Legs: 18, 24}\hspace{20px}\text{Hypotenuse: ?}

Legs: 18, 24Hypotenuse: ?

a^{2}+b^{2}=

a

2

+b

2

=

\,\,c^{2}

c

2

The Pythagorean Theorem

18^{2}+24^{2}=

18

2

+24

2

=

\,\,c^{2}

c

2

Plug in. c is the hypotenuse.

324+576=

324+576=

\,\,c^{2}

c

2

Square the numbers.

900=

900=

\,\,c^{2}

c

2

Add.

\sqrt{900}=

900

​

=

\,\,\sqrt{c^{2}}

c

2

​

Square root both sides.

30=

30=

\,\,c

c

The hypotenuse.

Answer:

50m

Step-by-step explanation:

5500cm=550m

Area=length*width

550=length*11

length=550/11=50