1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svet_ta [14]
3 years ago
12

Find the direct variation equation

Mathematics
2 answers:
Kaylis [27]3 years ago
8 0

Answer:

20

Step-by-step explanation:

if y varies directly with x, then it takes the form y=mx

to find m, substitute in the values of x and y to get 35=m*7 and simplify to get that m=5

then the equation becomes y=5x

substitute in the value they gave for x which is 4 to get y=5*4

to get that y=20

joja [24]3 years ago
6 0

Answers:

  • The direct variation equation is y = 5x
  • If x = 4, then y = 20

=================================================

Explanation:

Let's say that the letter k replaces the green box

We have the equation y = kx

Plug in (x,y) = (7,35) to get the equation 35 = k*7

Dividing both sides by 7 leads to k = 5

Therefore, the direct variation equation is y = 5x

We can check this by plugging in x = 7

y = 5x

y = 5*7

y = 35

So x = 7 leads to y = 35 as expected.

-------------

Do the same for x = 4

y = 5x

y = 5*4

y = 20 when x = 4

Side note: direct variation equations always go through the origin.

You might be interested in
Please Help Me worth 20 points
rodikova [14]

Answer:

1.Amy should ask every 10th person leaving the school at the end of the day and Amy should ask the 50 students in her computer lab.

2.Yes,the sample is unbiased and equal to everyone.

3.200

Step-by-step explanation:

8 0
4 years ago
Al sumar y/o restar números decimales, siempre se debe aplicar la norma de los signos. * 1 punto FALSO VERDADERO
Luden [163]

Answer:

La norma de los signos es para el producto de números reales, y la norma es la siguiente.

(+)*(+) = (+)

(+)*(-) = (-)

(-)*(+) = (-)

(-)*(-) = (+)

Es decir, el producto de dos números de mismo signo es siempre positivo

El producto de dos números de distinto signo es siempre negativo.

Particularmente, para la suma esta norma no funciona (pues no está definida para la suma)

Pero en casos como:

5 - (-4)  

(esto sería: "la diferencia entre cinco y menos cuatro")

notar que podemos reescribir esto como:

5 + (-1)*(-4)

Ahora podemos aplicar la norma de los signos:

5 + 4 = 9

Donde aplicamos la norma de los signos,  

Podemos concluir que, si bien es una regla que aplica al producto, siempre la tenemos que tener en cuenta en cualquier operación que hagamos.

Por lo podemos concluir que la respuesta correcta es verdadero.

7 0
3 years ago
Does the rule y =(4)(x) represent a linear or exponential function?
lana66690 [7]

The rule is exponential function.

4 0
3 years ago
Someone please help me!!
kobusy [5.1K]
<h3>Answer:</h3>

A) Isosceles

E) Obtuse

<h3>Step-by-step explanation:</h3>

Ways to Define a Triangle

Triangles can be defined in two ways: by angles and by sides. Equilateral, isosceles, and scalene are based on side length. Acute, right, and obtuse are based on angle measurements. Triangle may only fall under one category for side length and one for angle measure (2 categories total).

Side Length

First, let's define equilateral, isosceles, and scalene.

  • Equilateral - All 3 sides of the triangle are congruent (equilateral are always acute angles).
  • Isosceles - 2 of the sides are congruent.
  • Scalene - There are no congruent sides; each side has a different length.

The triangle above has 2 congruent sides as shown by the tick marks on the left and right sides. This means the triangle is isosceles.

Angle Measurements

Now, let's define acute, right, and obtuse.

  • Acute - All 3 angles are less than 90 degrees; all angles are acute.
  • Right - 1 of the angles is exactly 90 degrees; it has a right angle.
  • Obtuse - 1 of the angles is greater than 90 degrees; there is an obtuse angle.

The largest angle in the triangle is 98 degrees, which is obtuse. This means that the triangle is obtuse.

7 0
2 years ago
What is the value of the product (3 – 2i)(3 + 2i)?
Allushta [10]

Hi friend

(3-2i)(3+2i)
as (a+b)(a-b) =a²-b²

3²-(2i)²
=9-(4*-1)
=9-(-4)
=9+4
=13
Hope this helps you!
3 0
3 years ago
Read 2 more answers
Other questions:
  • Given y=log3(x+4) what is the domain
    9·2 answers
  • Find two numbers that differ by 8 and whose square roots differ by 1. Those two numbers are ___ and ____
    5·1 answer
  • The ratio of the number of boys to the number of girls in the cast of a school play is 1 : 5. Which statement must describe the
    13·2 answers
  • A line segment has endpoints at (–4, –6) and (–6, 4). Which reflection will produce an image with endpoints at (4, –6) and (6, 4
    6·2 answers
  • The longest side of a triangle is eight more units than the shortest side . The third side is three times the length of the shor
    10·1 answer
  • A 27- inch long ribbon was cut into 4 equal lengths. How long was each piece of ribbon?
    5·1 answer
  • The diagram shows a trapezium.<br>Work out the area of the trapezium.<br>​
    14·1 answer
  • I need help please and explain your answer it’s number 4
    15·1 answer
  • You believe that eating an apple a day is healthy and want to design an experiment to find out. You have available 40 volunteers
    12·1 answer
  • Mandy used the rule “Add 6” to make a pattern. She started with 20 and wrote the next 5 numbers in her pattern.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!