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
jarptica [38.1K]
3 years ago
14

The equations : -3x+4y=-30− and 9x + 5 y = 39 intersect at the coordinate (h, k). What is the value of h?

Mathematics
1 answer:
Phantasy [73]3 years ago
5 0

Answer:

h = 6

Step-by-step explanation:

Given the 2 equations

- 3x + 4y = - 30 → (1)

9x + 5y = 39 → (2)

We require the value of the x- coordinate at the point of intersection, thus require to eliminate the y- term from the equations

Multiply (1) by 5 and (2) by - 4

- 15x + 20y = - 150 → (3)

- 36x - 20y = - 156 → (4)

Add (3) and (4) term by term thus eliminating y

- 51x = - 306 ( divide both sides by - 51 )

x = h = 6

You might be interested in
What are the zeros of the polynomial function f(x) = x3 − 2x2 − 24x?
Morgarella [4.7K]

Answer:

x = 0, x = -4, and x = 6

Step-by-step explanation:

To find the zeros of this polynomial, we can begin by factoring out a common factor of each term. 'x' is a common factor. We can distribute this variable out, giving us:

f(x) = x(x²- 2x- 24)

Now, factor the polynomial inside of the parenthesis into its simplest form. Factors of -24 that add up to -2 are -4 and 6.

f(x) = x( x + 4) (x - 6)

From this, we can derive the zeros x = 0, x = -4 and x = 6.

4 0
3 years ago
A gold mine has two elevators, one for equipment and another for miners. The equipment elevator descends 6 feet per second. The
oksano4ka [1.4K]

Answer:

It should the miners

Step-by-step explanation:

Miners:

17(time) x 16 (feet per second) =  272(distance)

equipment

22 (time) x 6 (feet per second)= 132 (distance)

8 0
3 years ago
Read 2 more answers
The original cost of Sam’s investment is $10,000. After liquidating the investment, Sam calculated his real return to be $10,700
OverLord2011 [107]

Answer:

Return on investment (ROI) = 7%

Step-by-step explanation:

Given:

Amount invested = $10,000

Total amount get (refund) = $10,700

Find:

Return on investment (ROI) = ?

Computation:

Amount Return = Total amount get (refund) - Amount invested

Amount Return = $10,700 - $10,000

Amount Return = $700

Return\ on\ investment \ (ROI) = [\frac{Amount\ Return}{Amount\ invested} ]100\\\\Return\ on\ investment \ (ROI) = [\frac{700}{10,000} ]100 \\\\ Return\ on\ investment \ (ROI) =7

Return on investment (ROI) = 7%

3 0
2 years ago
A 91 square foot bathroom has a length of 13 feet. what is the width of the bathroom
Radda [10]
<span>The answer is 7 ft. The bathroom has rectangular shape. The area (A) of a rectangle is the product of the width (w) and length (l): A = w * h. The bathroom is rectangular. We know that A = 91 ft^2 and l = 13 ft. Let's substitute them in the formula for the area: 91 ft^2 = w * 13 ft. w = 91 ft^2 : 13 ft. w = 7 ft. The width of the bathroom is 7 ft.Hope this helps. Let me know if you need additional help!</span>
5 0
3 years ago
Read 2 more answers
Any answers I need help
natulia [17]

Answer:

(A) 21

Step-by-step explanation:

5x-15 needs to equal 90 since it is a right angle and 21 makes that true

(5*21)=105\\105-15=90

6 0
2 years ago
Read 2 more answers
Other questions:
  • HELP TRIGONOMETRY !!!!
    8·1 answer
  • What is the surface area of the cylinder in terms of pi the diagram is not drawn to scale radius of 9 and height of 19
    10·2 answers
  • Draw a number line to show that 2/3 and 6/10 are equivalent
    7·1 answer
  • What is the polar form of -4+5i?
    8·1 answer
  • A pole that is 3.2m tall casts a shadow that is 1.54m long. At the same time, a nearby building casts a shadow that is 50.75m lo
    13·1 answer
  • What is 0.90 in fraction
    5·2 answers
  • If gasoline sells for $1.25 per gallon, how much would 3 3/5 gallons cost? express your answer as a decimal
    9·2 answers
  • What is 4/7 plus 5/28 in simplest form I am not sure
    6·2 answers
  • Ramon needs to have $7230 in 12 years. How much money should he deposit in his account if he earns 3.25% interest compounded 4 t
    12·1 answer
  • Suppose the radius of a circle is 5. What is its circumference?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!