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
liubo4ka [24]
3 years ago
14

At what corridnate point do y= 1/2 x + 4 and x + 4y = 4 intersect.

Mathematics
1 answer:
Viefleur [7K]3 years ago
6 0

Answer:

(-4;2)

Step-by-step explanation:

1. if y=1/2 x+4, then 2y=x+8; it is possible to re-write as x-2y+8=0;

2. if x+4y=4, it is possible to re-write it as x+4y-4=0;

3. if x-2y+8=0 and x+4y-4=0, then x-2y+8=x+4y-4; ⇒ -2y+8=4y-4; ⇒ 6y=12; ⇔ y=2.

4. if y=2, then it is possible to substitute its value into any equation given in the condition:

x+4y=4 (substitution y=2); ⇒ x+8=4; ⇒ x= -4.

5. finally x= -4; y=2. It means (-4;2)

PS. the suggested solution is not the only way to resolve this task.

You might be interested in
Please do it for me! I need both of this questions ans....
Troyanec [42]

Answer:

Whoa, that's a lot to answer...

15. 30000=500x

16. y=58x+5

in 16, the total cost is y, so y has to be in 1 side for itself. and we need to add the amount of tickets and the fee (5$). So we get that equation.

8 0
3 years ago
A jar contains 2 green marbles, 4 blue marbles, and 3 yellow marbles. A marble is chosen at random from the jar and replaced. Fi
omeli [17]

Answer:

2/27

Explanation:

• Number of green marbles = 2

,

• Number of blue marbles = 4

,

• Number of yellow marbles = 3

Total = 2+4+3 =9

• Probability of choosing a green marble = 2/9

,

• Probability of choosing a yellow marble = 3/9

Therefore, the possibility that the first marble is green and the second is yellow is:

\begin{gathered} =\frac{2}{9}\times\frac{3}{9} \\ =\frac{2}{27} \end{gathered}

8 0
1 year ago
Please help ASAP, thank you and have a good night/day❤️
wolverine [178]

Answer:

1. 6 (3)^2 = 54 ft ^2

2. 6 (2)^2 = 24 ft ^2

3. 54+ 24 = 78 ft^2

5 0
3 years ago
3x-12/x^2+10x+24 ÷ x^2-16/x^2+6x.​
ludmilkaskok [199]

Answer:

19x^3 -4 all divided by x^2

Step-by-step explanation:

It would be greatly appreciated if you gave me the brainlest

7 0
3 years ago
Saul decides to use the IQR to measure the spread of the data. Saul calculates the IQR of the data set to be 27.
padilas [110]

Answer:

78

Step-by-step explanation:

The IQR is quartile 3 - quartile 1. First, we need to find the mean of the dataset, which is 50 -- the fifth number. Then, the median of the dataset on the left of the fifth number is the first quartile, and the median of the dataset on the right is the third. We get Q1 to then be halfway between 30 and 50, or 40, and Q3 to be halfway between 56 and n, so Q3 = (56+n)/2. Since we need Q3-Q1=27, or (56+n)/2-40=27, we have (56+n)/2=67 and 56+n=134, so n = 134-56=78

3 0
3 years ago
Other questions:
  • Which equation represents the slope-intercept form of the line below?
    7·2 answers
  • Taika and her 4 friends bought a package of crackers for $3.69. How much will each friend pay to the nearest cent if the cost is
    8·1 answer
  • Forty eight feet equals how many yards?
    15·1 answer
  • Opposite value of integer <br>6​
    10·2 answers
  • Need help can someone explain this problem<br>please.​
    5·1 answer
  • Y=-3x2 + 18x + 10 what is the axis of symmetry step by step?
    12·1 answer
  • HELLLP PLSsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
    8·2 answers
  • Find the area of the composite figure.
    14·2 answers
  • A carpenter is buying materials. The carpenter needs 36 screws that are 1.5 inches long, 24 screws that are 2 inches long, and 1
    14·1 answer
  • FIND THE VOLUME AND SURFACE AREA. MEASUREMENT IN cm. π = 22/7
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!