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
loris [4]
3 years ago
13

(4,a) and (2,5) are two points from a direct variation. what is a? use the step by step process you just learned to solve this p

roblem. set up the correct type of variation equation. y= kx k/x x+k x-k​
Mathematics
2 answers:
stepladder [879]3 years ago
7 0

Answer:

a = 10

Step-by-step explanation:

Since the quantities vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use the point (2, 5 ) with x = 2 and y = 5

k = \frac{y}{x} = \frac{5}{2} = 2.5

y = 2.5x ← equation of variation

Using the point (4, a) with x = 4, then

y = a = 2.5 × 4 = 10

Pepsi [2]3 years ago
5 0

Answer:

Step-by-step explanation:

The variables are y and x

y ∞ x

y = kx

Where k is the constant of proportionality

Considering the first point

(4,a)

y = a and x = 4

a = 4k .......(1)

and (2,5)

y = 5 and x = 2

5 = 2k ..........(2)

k = 5/2

And a = 4k

a = 4(5/2)

a = 2×5

a = 10

The equation is

y = 5x/2

You might be interested in
<br> PLS help me with this. And I am so sorry if im troubling you
dedylja [7]

Answer:

a=70 vertically opp angles

b=80  linear pair

c=100   corresponding angles

d= 80 linear pair with c

e=  180 -a-d

=180-70-80

=30

8 0
2 years ago
Which function describes this table of values?
Daniel [21]

Answer:

y = \frac{1}{2}x +2

Step-by-step explanation:

From the table of function given, you would observe that if you subtract 2 from half of the x-variable values, you'd get the y-variable values.

For example, half of -8 = -4. If you add 2 to -4, you'd get: -4 + 2 = -2. Same applies to other x-values on the table.

Thus, an expression for the function represented by the table values can be written as,

y = \frac{1}{2}x +2

3 0
3 years ago
X is greater than or equal to 11
goldenfox [79]

Answer: x ≥ 11

Step-by-step explanation: We wrote an inequality to represent this situation.

3 0
3 years ago
Can someone help plsss!
Roman55 [17]

Well the y-intercept is +2

And the slope of the blue line is 1/2

So y=1/2x+2

Slope is rise/run (up then ((right)))

And the intercept is found where the line intercects the y line.

7 0
3 years ago
Read 2 more answers
Help pls look at the picture
Alika [10]

Answer:

Option A: -\frac{4}{3} is the correct answer.

Step-by-step explanation:

Given that:

Slope of the line = \frac{3}{4}

Let,

m be the slope of the line perpendicular to the line with slope \frac{3}{4}

We know that,

The product of slopes of two perpendicular lines is equals to -1.

Therefore,

\frac{3}{4}.m=-1\\

Multiplying both sides by \frac{4}{3}

\frac{4}{3}*\frac{3}{4}m=-1*\frac{4}{3}\\

m = -\frac{4}{3}

-\frac{4}{3} is the slope of the line perpendicular to the line having slope \frac{3}{4}

Hence,

Option A: -\frac{4}{3} is the correct answer.

3 0
3 years ago
Other questions:
  • How to find amplitude of a trig function?
    11·1 answer
  • In the circuit shown in the figure above, which switches must be closed in order for the light bulb to light up?
    12·2 answers
  • What are the roots of the quadratic function in the graph?<br> -15<br> -5,3<br> -5,-3<br> -3,5
    8·2 answers
  • I need help rn please it would mean a lot and explain in standard form
    5·1 answer
  • Use benchmark values to estimate 7/10 + 7/8.​
    5·1 answer
  • A box contains 6 red marbles, 4 green marbles, 3 blue marbles, and 2 yellow marbles. If Greg chooses one marble at random 300 ti
    14·1 answer
  • Two siblings ' ages have a sum of 64 years . The older sibling was born 6 years before their young sibling . Write a system of 2
    15·1 answer
  • WILL GIVE BRAINLIEST Amanda deposits $10,000 into an account that pays 3% interest per year, compounded annually. Sam deposits $
    5·1 answer
  • What is the area of the figure below ?<br> A. 12<br> B. 15 <br> C. 18<br> D. None of these
    10·2 answers
  • HELPPPPPPPPPPPPPPPPPPPPPPPP
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!