у varies inversely as x, and y = 45 when x = 7

9514 1404 393

Answer:

  a. 12

  b. 15

  c. (2, -2.5)

Step-by-step explanation:

a. The points lie on a horizontal line, so the distance between them is the difference of their x-coordinates: 4 -(-8) = 12 units.

__

b. The length BD is the diagonal of the rectangle. Its length is given by the distance formula as ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  d = √((-8 -4)^2 +(-7 -2)^2) = √((-12)^2 +(-9)^2) = √(144 +81) = √225

  d = 15

The distance between B and D is 15 units.

__

c. The midpoints of AC and BD are the same:

  (A +C)/2 = ((-8, 2) +(4, -7))/2 = (4, -5)/2 = (2, -2.5)

  (B +D)/2 = ((4, 2) +(-8, -7))/2 = (4, -5)/2 = (2, -2.5)

Point (2, -2.5) can be used to locate the lake.

Answer:

-8<7

Step-by-step explanation:

if you did at the number line you'll see that the -8 is at the left

and as you go the left number decreases

as you go to the right number increases

Answer:

≈11.2

Step-by-step explanation:

Have a good day :)

Answer:

1202.38

Step-by-step explanation:

i looked how how do it and a calculator popped up so i put the numbers in that's what i got

Answer:

x = 8

Step-by-step explanation:

x-7=1

Add 7 to each side

x-7+7 = 1+7

x = 8

Answer:

x= 8

Step-by-step explanation:

collect like terms

x= 7+1

x= 8

Answer:

6pi

Step-by-step explanation:

arc length = 2pi * r * angle/360

= 2 pi * 9 * 120/360 = 6pi

yes just do everything and study and u'll do fine :)

Answer:

The third one

Step-by-step explanation:

Answer:

4 I think, Im not 100 percent sure.

Answer:

y=1/4x+1

i think

Step-by-step explanation:

Answer:

there are 16 pink roses

Step-by-step explanation:

Number of pink roses = fraction of pink roses x total number of roses bought

fraction of pink roses = 1 - fraction of red roses

1 - 1/3

= 3/3 - 1/3 = 2/3

Number of pink roses = 2/3 x 24 = 16

Answer:

4 times

Step-by-step explanation:

Hope this helps!

Answer:

'y' would be 24

'x' would be 12[tex]\sqrt{3}[/tex]

Step-by-step explanation:

the ratio of sides in a 30-60-90 triangle is, respectively, 1 : [tex]\sqrt{3}[/tex] : 2

so the side across from the 60 degree angle is [tex]\sqrt{3}[/tex] times the side of the 30°

the side across from the 90 degree angle is double the side of the 30°

so in this problem 'y' would be 24 and 'x' would be 12[tex]\sqrt{3}[/tex]

Answer:

Step-by-step explanation:

take 30 degree as reference angle

using sin rule

sin 30=opposite/hypotenuse

1/2=12/y(do cross multiplication?

12*2=y

24=y

for x

using pythagoras theorem

H^2=P^2+B^2

24^2=12^2+B^2

576=144+B^2

576-144=B^2

432=B^2

[tex]\sqrt{432}[/tex]=B

12[tex]\sqrt{3}[/tex]=B

12[tex]\sqrt{3}[/tex]=X1

Answer:

Step-by-step explanation:

225*1/3=x

225/3=x

75=x

Answer:

J

-66

Step-by-step explanation:

a1 = 2

n = 18

d = - 4

a18  =  a1 + (n - 1) * d

a18 = 2 + (18 - 1)*(-4)

a18 = 2 + 17*-4

a18 = 2 - 68

a18 = -66

0.07

Explanation:

The number of sophmores is 2+25+3 = 30.

Of these sophmores, 2 drive to school.

So the probability that a student drives to school, given that they are a sophmore, is 2/30, or approximately 0.07.

Answer:

f(x)= x^2 - 2, the one in red.

Step-by-step explanation:

To move a quadratic function up/down, you change the value at the very end of the formula.

So instead of f(x)= x^2 + 1, you would do f(x)= x^2 - 2, to move it down 3. This would be the one in red.

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

vol of 1st cuboid,

=lxbxh

=4cm×6cm×1cm

=24cm³

vol of 2nd cuboid

= lxbxh

=6cm×3cm×1cm

=18cm³

vol of figure=18cm³+24cm³

= 42cm³

Answer:

The area is about 25/2 inches^2

Step-by-step explanation:

You are given an isoceles triangle; the sides equal to each other are radiuses of the circle G.  They are both 5 inches in length.  

The angle between the two equal sides is equal to 88 degrees.

To find the height of the triangle, draw a line perpendicular to  GH and solve for the lengths of the sides.  

sin(88) = x/5

5sin88 is about 5 it is (4.99695)

Multiply the side length GH (5) and the solved height and divide by two;

The area is about 25/2 inches^2

Answer:

Here is your answer!

Step-by-step explanation:

Answer:

y = [tex]\frac{4}{3}[/tex][tex]x[/tex] [tex]-7[/tex]

Step-by-step explanation:

Use the points (9, 5) and (6, 1) to identify the slope of the graph

[tex]m[/tex] = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

m = [tex]\frac{1-5}{6-9}[/tex]

m = [tex]\frac{-4}{-3}[/tex]

m = [tex]\frac{4}{3}[/tex]

The y-intercept is -7 because -7 touches y axis causing it to be the y-intercept

The sum of three consecutive number is 63, hence the number is 20.

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

Let x represent the number. The sum of three consecutive number is 63, hence:

x + (x + 1) + (x + 2) = 63

x = 20

The sum of three consecutive number is 63, hence the number is 20.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

A. 10/11

Step-by-step explanation:

[tex]A. \: 10 \sqrt{11} [/tex] ✅

Step-by-step explanation:

[tex]( \sqrt{22} )(5 \sqrt{2} ) \\ = 5 \sqrt{22 \times 2} \\ = 5 \sqrt{2 \times 2 \times 11} \\ = 5 \sqrt{ {2}^{2} \times 11 } \\ = 5 \times 2 \sqrt{11} \\ = 10 \sqrt{11} [/tex]

[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]

Answer:

-2.5

Step-by-step explanation:

28 - f = 30.5

-f = 30.5-28

-f=2.5

f=-2.5

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{28 - f =30.5}[/tex]

[tex]\large\textsf{Or you can say: \textsf{-f + 28 = 30.5}}[/tex]

[tex]\rm{SUBTRACT\ 28\ to\ BOTH\ SIDES}[/tex]

[tex]\mathsf{-f + 28 - 28 = 30.5 - 28}[/tex]

[tex]\rm{CANCEL\ out: 28 - 28\ because\ that\ gives\ you\ 0}[/tex]

[tex]\rm{KEEP: 30.5 - 28\ because\ that\ helps\ solve\ for\ your\ f-value}[/tex]

[tex]\mathsf{30.5-28=\bf 2.5}[/tex]

[tex]\rm{New\ EQUATION: -f = 2.5}[/tex]

[tex]\textsf{When we have a variable by itself, it is usually understood as an invisible 1 }[/tex]

[tex]\rm{DIVIDE\ -1\ to\ BOTH\ SIDES}[/tex]

[tex]\mathsf{\dfrac{-f}{-1}=\dfrac{2.5}{-1}}[/tex]

[tex]\rm{CANCEL\ out: \dfrac{-1}{-1}\ because\ that\ gives\ you\ 1}[/tex]

[tex]\rm{KEEP: \dfrac{2.5}{-1}\ because\ it\ gives\ you\ the\ f-value\ result}[/tex]

[tex]\mathsf{f =\dfrac{2.5}{-1}}\\\\\large\text{or you can say}\downarrow\\\\\mathsf{2.5\div -1=\bf f}[/tex]

[tex]\uparrow\textsf{SIMPLIFY ABOVE AND YOU WILL HAVE YOUR RESULT OF \bf F}\uparrow[/tex]

[tex]\boxed{\boxed{\large\text{Amswer: \huge \bf f = -2.5}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

13

Step-by-step explanation:

6(A)-5

Sub 3 into A

6(3)-5

Multiply 3 by 6

18 - 5

=13

Answer:

6(3)-5

18-5

=13

Step-by-step explanation:

Answer: 74feet

Step-by-step explanation:

In this case, to calculate the total length of the path, we have to find the perimeter of the shape which is a triangle.

It should be noted that the perimeter of a triangle is the addition of all of its sides. The sides given here are 20 feet, 36 feet, and 18 feet. Therefore, the total length will be:

= 20ft + 36ft + 18ft

= 74ft

The perimeter of a triangle is the sum of all sides of the triangle. Then the path length is 74 feet.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Rowena and Arlene are going to make a triangular path in her garden.

The sides will be 20 feet, 36 feet, and 18 feet.

The length of the path is given by the perimeter of the triangle. Then we have

Length of path = 20 + 36 + 18

Length of path = 74 ft.

More about the triangle link is given below.

https://brainly.com/question/25813512

Answer:

[tex]12(x - 2) + 3x = \frac{1}{3} (x + 12) + 10x \\ 12x - 24 + 3x = \frac{x}{3} + \frac{12}{3} + 10x \\ 12x - 24 + 3x = \frac{x}{3} + 4 + 10x \\ 12x + 3x - \frac{x}{3} - 10x = 4 + 24 \\ 5x - \frac{x}{3} = 28 \\ \frac{15x - x}{3} = 28 \\ \frac{14x}{3} = 28 \\ 14x = 28 \times 3 \\ 14x = 84 \\ x = \frac{84}{14} \\ x = 6[/tex]

Good luck .

Answer:

Subject

Step-by-step explanation:

Have a good day :)

Answer:

5 pears

Step-by-step explanation:

Given that

The  average of 20 pears were sold from Monday to Friday

But after the sales on Saturday and Sunday, the average pears sold per day were increased to 25

We need to determine the number of pears sold on Saturday and sunday

So, it is

= 25 pears - 20 pears

= 5 pears