(-4, 12) and (-7, -3)​

Answer:

[tex] 64y = 17 {x}^{3} [/tex]

Step-by-step explanation:

[tex]y \: \alpha \: {x}^{3} ....(given) \\ \therefore \: y = k {x}^{3} .. (1)\\ (k =arbitrary \:constant) \\when \: x = 4, \: \: y = 17, \:k =? \\ 17 = k {(4)}^{3} \\ 17 = 64k \\ k = \frac{17}{64} \\ plug \: k =\frac{17}{64} \: in \: equation \: (1) \\ y = \frac{17}{64} {x}^{3} \\ 64y = 17 {x}^{3} [/tex]

The correct equation connecting y and x is,

⇒ y = 17/64x

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

⇒ y is directly proportional to x³

Hence, We get;

⇒ y = kx³

Here, y  17 at x = 4;

Hence,

⇒ 17 = k × 4³

⇒ k = 17 / 64

Thus, The correct equation connecting y and x is,

⇒ y = 17/64x

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

ΔABC ≈ ΔDEF

∡B ≅ ∡E

x = 4.5

BC is similar to EF

Step-by-step explanation:

to find 'x':

6/16 = x/12

16x = 72

x = 4.5

Answer:

1) tri ABC ~ tri DEF

2) angle B ~ angle E

3) x= 4.5

4) ?= BC

Step-by-step explanation:

hi! a note: pls let me know if any of the answers are wrong ! i want anyone to have a wrong answer because of me thank u vm! (obviously, my explanations are not the official mathematical explanations)

1) I just matched up the letters, A to D, B to E, C to F

You can also use ratios, but if you dont need an explanation then ignore it.

2) matched up the angles: B corresponds to E

3) Ratio: 6/16 = x/12

              16x = 72   cross multiply

                 x = 4.5

4) Again, just match up the sides

BC corresponds to EF

hope this helps :D best of luck

Answer:

10players

Step-by-step explanation:

Using the concept of probability

probability =  expected outcome/total outcome

Total outcome s the numbers of players on the team

Given

Total number of trophy won = 7 (expected)

Fraction of those that won = 7/10 (probability)

Substitute

7/10 = 7/total outcome

1/10 = 1/total outcome

Reciprocate both sides

10/1 = total outcome

Swap

Total outcome = 10

Hence the number of players on the team is 10players

Answer:

Center (7,2) and radius = 10

Step-by-step explanation:

Generally, we have the equation of a circle as follows;

(x-a)^2 + (y-b)^2 = r^2

where (a,b) represents the circle center and r represents the radius of the circle

Looking at the given equation of a circle, we have it that the center is (7,2) while the radius of the circle is 10

Answer:

w = 7 feet

Step-by-step explanation:

Volume of a rectangle prism = length × width × height

Length = 7 feet

Width = ?

Height = 3 1/4 feet

Volume = 159 1/4 cubic feet

Volume of a rectangle prism = length × width × height

159 1/4 = 7 × w × 3 1/4

637/4 = 7 × w × 13/4

637/4 = 7 × 13/4 × w

637/4 = 91/4w

w = 637/4 ÷ 91/4

= 637/4 × 4/91

= 637*4 / 4*91

= 2548 / 364

w = 7 feet

Answer:

-5 and -6

Step-by-step explanation:

For trinomial factoring, you need two numbers that add up to get the -11x and two numbers that multiply to get 30.

-5 + (-6) = -11

-5 × -6 = 30

Answer:

6 hundreds

2 tens

7 ones

Step-by-step explanation:

Un albañil construye una casa en 5 días si debe construir 3 casas cuántos días se demorará

Answer:

Step-by-step explanation:

The Pythagorean theorem is that (for right triangles)

a^2+b^2=c

Meaning c is the side opposite the right angle

Hope this helps!

Answer:

relationship between perpendicular and hypotenuse is given by sin angle

sin45=p/h

sin45=√8/x

1/√2=√8/x

x=2√2×√2=2×2=4

x=4

Answer:

uncle's cookies

Step-by-step explanation:

Answer:

I think ur answer would be uncle cookies

Step-by-step explanation:

srry if wrong

hope this helps!

Answer:

) ''You need to consider 200^o = 180^o + 20^o , hence you need to use the next formula to evaluate sin 200^o  in terms of k:

sin (alpha + beta) = sin alpha*cos beta + sin beta*cos alpha

Plugging alpha = 180^o , beta = 20^o  in the formula yields:

sin 200^o = sin (180^o + 20^o) = sin 180^o*cos20^o + sin 20^o*cos 180^o

Plugging sin 180^o = 0  and cos180^o = -1  in the formula yields:

sin 200^o = - sin 20^o = -k''

Step-by-step explanation:

''Given sin 20°=k express the following in terms of k a) sin 200° b) cos 20° c) tan(-20°) d) sin 70° Related to trigonometry.''     https://www.enotes.com/homework-help/given-sin-20-k-express-following-terms-k-sin-200-b-307263      hope this helps

Answer:

a) 2

b) 3

c) 1

hope this helps :)

Answer:

I want to say A)

Step-by-step explanation:

Answer:

AC = 16

KL = 5.625

Source(s):

Dude trust me

brainliest tho??

Step-by-step explanation:

5/KL = 12/13.5

12KL = 67.5

KL = 5.625

AC/18 = 12/13.5

13.5AC = 216

AC = 16

Answer:

A. Obtuse triangle

B,C,D. Acute

Step-by-step explanation:

Answer:

40.56

Step-by-step explanation:

2pir

8÷2=r=4

2pi4=25.13

25.13÷2=12.565

10+10+8+12.56=40.565

Given:

The function is:

[tex]f(x)=\dfrac{2x}{3}-4[/tex]

To find:

The inverse of the given function, i.e., [tex]f^{-1}(x)[/tex].

Solution:

We have,

[tex]f(x)=\dfrac{2x}{3}-4[/tex]

Step 1: Substitute [tex]f(x)=y[/tex].

[tex]y=\dfrac{2x}{3}-4[/tex]

Step 2: Interchange x and y.

[tex]x=\dfrac{2y}{3}-4[/tex]

Step 3: Isolate y.

[tex]x+4=\dfrac{2y}{3}[/tex]

[tex]3(x+4)=2y[/tex]

[tex]\dfrac{3x+12}{2}=y[/tex]

[tex]\dfrac{3}{2}x+6=y[/tex]

Step 4: Substitute [tex]y=f^{-1}(x)[/tex].

[tex]f^{-1}(x)=\dfrac{3}{2}x+6[/tex]

Therefore, the inverse of the given function is [tex]f^{-1}(x)=\dfrac{3}{2}x+6[/tex].

Answer:

5 seconds

Step-by-step explanation:

Answer:

The cost of the aquarium was $38

Step-by-step explanation:

I got 60% of 100 and it was 60 so it was $40 but then the sales tax was $2 so I subtracted and got 38

The total cost of the aquarium is the sum of the marked down price and

the sales tax.

The total cost of the aquarium is $42

Reasons:

The known information are;

Original price of the aquarium = $100

The marked down percentage of the aquarium = 60%

The sales tax = 5%

[tex]Mark \ down = \dfrac{Difference}{Current \ selling \ price} \times 100[/tex]

[tex]60 \% = \dfrac{Difference}{100} \times 100[/tex]

Which gives;

The difference in sale = $100 - Marked down price = $60

Marked down price = $100 - $60 = $40

The marked down price = $40

The tax is applied to the marked down price, therefore, we get;

Sales tax = 5% × $40 = $2

The total cost = Marked down price + Sales tax

The total cost of the aquarium = $40 + $2 = $42

Learn more here:

https://brainly.com/question/17852801

https://brainly.com/question/19091415

Answer

Step-by-step explanation:

mulitiply the numbers

add the numbers

rearrange the numbers

Answer:

Step-by-step explanation:

all the three sides of a triangle are equal.

length of perpendicular from center on the side=[tex]h=\sqrt{21^2-(\frac{21}{2})^2} =\frac{21}{2}\sqrt{3} \\area ~of~shape=6 \times \frac{1}{2} \times 21 \times \frac{21}{2}\sqrt{3} \\=\frac{1321}{2}\sqrt{3} ~sq. ~ft.[/tex]

Answer:

A

Step-by-step explanation:

A proportional relationship either increases or decreases its points at the same rate. In the first set of ordered pairs, the x values all increase by 3 while the y values all increase by 6, which is twice the value of the x values' increasing. The second set of ordered pairs is not proportional because all pairs' x values increase by 2 while the y values increase by 8 until ordered pair (5, 20), so this set therefore is non-proportional. y = x + 3 is the correct equation because it represents that the y value is always 3 greater than the x value. All the shown ordered pairs for set 1 supports this (3 - 0 = 3, 6 - 3 = 3, 9 - 6 = 3, 12 - 9 = 3).

Answer: x<-9

Step-by-step explanation:

-2x>18

-2x/(-2)<18/(-2)

x< -9

The value of the solution in the inequality is,

⇒ x < - 9

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The inequality is,

⇒ - 2x > 18

Now, We can simplify as;

⇒ - 2x > 18

⇒ - x > 18/2

⇒ - x > 9

⇒ x < - 9

Thus, The value of the solution in the inequality is,

⇒ x < - 9

Learn more about the inequality visit:

https://brainly.com/question/25944814

#SPJ2

Answer:

.33333 or rounded .33

Step-by-step explanation:

There are 4 months that end in an r

This means that 1 third of the months end in r or .33

Answer: B

Step-by-step explanation:

Answer:

aₙ = 31n -  5

Step-by-step explanation:

The terms of your sequence are.

26, 57, 88, …

This is an arithmetic sequence, because there is a constant difference of 31 between consecutive terms.

The explicit formula for the nth term of an arithmetic sequence is

aₙ = a₁ + d(n - 1 )

a₁ is the first term, and d is the difference in value between consecutive terms. Thus,  

aₙ = 26 + 31(n - 1) = 26 + 31n - 31

aₙ = 31n - 5

The explicit rule for the arithmetic sequence is aₙ = 31n - 5.

Answer:

( 0, - 2 )

Step-by-step explanation:

Mid point formula : -

( x1 + x2 ) / 2, ( y1 + y2 ) / 2

Here,

Let ( x1, y1 ) = ( - 4, - 2 )

Therefore,

x1 = - 4

y1 = - 2

Let ( x2, y2 ) = ( 4, -2 )

Therefore,

x2 = 4

y2 = - 2

Midpoint of AC

= ( - 4 + 4 ) / 2, ( - 2 - 2 ) / 2

= ( 0 / 2, - 4 / 2 )

= ( 0, - 2 )

The midpoint of AC is ( 0, - 2 ) when coordinates of A (-4,-2), B(0,4), and C(4,-2) is given.

What is the Midpoint of a Line?

The midpoint of a line is a point that is equidistant from the endpoints of the line and in the middle of the line. If the endpoints of the line are (x)1, (y)1, and (x)2, (y)2, then the formula for the midpoint of the line is {[(x)1 + (x)2]/2, [(y)1 + (y)2]/2}.

Mid point formula is  given as : -

( x1 + x2 ) / 2, ( y1 + y2 ) / 2

Here,

Let ( x1, y1 ) = ( - 4, - 2 )

x1 = - 4

y1 = - 2

Let ( x2, y2 ) = ( 4, -2 )

x2 = 4

y2 = - 2

now using Midpoint formula to find the coordinates of AC

= ( - 4 + 4 ) / 2, ( - 2 - 2 ) / 2

= ( 0 / 2, - 4 / 2 )

= ( 0, - 2 )

Therefore, the midpoint of AC is ( 0, - 2 )

Read more about Midpoint of a Line at :

https://brainly.com/question/14687140

#SPJ5