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
Arturiano [62]
4 years ago
7

Find the value of k if it is known that the graph of y=kx goes through:

Mathematics
1 answer:
DENIUS [597]4 years ago
3 0

In y=kx , subst. -30 for x and 3 for y.  Then solve the resulting equation for k:

3 = k(-30).

Dividing both sides by -30, we get:

-3/30 = -1/10 = k

The constant of proportionality is k = -1/10.

You might be interested in
omar will donate up to $500 to charity. the money will be divided between two charities: the city of youth fund and educational
marshall27 [118]

Answer:

Please refer to the attached graph

Step-by-step explanation:

Knowing the following:

X = amount of money donated to the city youth fund

Y = amount of money donated to the educational growth foundation

We can write the statements in form of equations:  

"Will donate up to $500, the money will be divided between two charities"

(a) X + Y = \$ 500

"The amount donated to the educational growth foundation to be at least four times the amount donated to the city youth fund"

(b) Y \geq 4X

If we graph both equations we can see the area where both conditions are met (see graph attached)

Where the blue line is (a) and the red line is (b)

Shaded area represent all the possible solutions for the donations, for example:

X=100 and Y=400 or

X=50 and Y=200, etc.

6 0
3 years ago
Which number is farthest to zero -167, -289, 67, 298
dangina [55]

Answer:

298

Step-by-step explanation:

7 0
3 years ago
Find, correct to the nearest degree, the three angles of the triangle with the given vertices.
Leokris [45]

Answer:

angle CAB = 113.8 degree

angle ABC = 35.6 degree

angle BCA = 30.6 degree

Step-by-step explanation:

Given data:

A(1, 0, −1),

B(5, −3, 0),

C(1, 5, 2)

calculate the length of side by using the distance formula

so

AB = (5,-3,0) - (1,0,-1) = (4,-3,1)

AC= (1,5,2) - (1,0,-1) = (0,5,3)

|AB|

|AC| =\sqrt {(0 + 5^2+3^2)} = \sqrt{34}

From following formula, calculate the angle between the two side i.e Ab and AC

AB.AC = |AB|*|AC| cos ∠CAB

(4,-3,1).(0,5,3)

4*0 -3*5 +1*3

-12 =

cos ∠CAB = - 0.404

angle CAB = 113.8 degree

BA =B- A =  (1,0,-1) - (5,-3,0) = (-4,3,-1)

BC = (1,5,2)-(5,-3,0) = (-4,8,2)

|BA| = \sqrt{(26)}

|BC| = \sqrt {(4^2 + 8^2 + 2^2)} = \sqrt{(84)}

BA.BC = |BA|*|BC|* cosABC

(-4,3,-1).(-4,8,2) =\sqrt{(26)} * \sqrt{(84)} *cosABC

16+24-2

cos ∠ABC = 0.813

angle ABC = 35.6 degree

we know sum of three angle in a traingle is 180 degree hence

sum of all three angle = 180

angle BCA + 35.6 + 113.8 = 180

angle BCA = 30.6 degree

7 0
4 years ago
What is 3.4749 rounded to the nearest hundred ​
Rus_ich [418]

Answer:

3.47

Step-by-step explanation:

since the third decimal is less than 5 then it doesn't carry over to the 7 thus it remains 7.

5 0
3 years ago
What is The cube of the product of 3 and x
Anni [7]

Answer: 9

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Which number is a irrational number
    15·2 answers
  • How do I solve this question (19a)?
    7·1 answer
  • two negative integers are 8 units apart on the number line and have a product of 308. which equation could be used to determine
    15·2 answers
  • $4.80 for 6 cans unit rate
    10·1 answer
  • Please answer this correctly
    10·2 answers
  • If w 1,-5> and y=<2,3>,find 2w+y
    9·1 answer
  • Which fact is not used to prove that ABC is similar to DBE?
    7·2 answers
  • What’s the perimeter of a rectangle with a length of 4.2cm and a width of 2.8cm
    6·1 answer
  • SOMEONE HELP ME WITH THIS!! PLEQSE I BEG PLEASE
    15·1 answer
  • Find the distance between the two points on a coordinate A(5, 1) B(-3,- 3)
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!