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
Neporo4naja [7]
2 years ago
8

The first blanks options are -2 , -1/2 , 2 , 1/2

Mathematics
1 answer:
Pie2 years ago
7 0

Answer:

equation 1

y = -2x

equation 2

y = x-3

Solution to both

(1,-2)

Step-by-step explanation:

We need to get the equations of both lines

General form is;

y = mx + c

where m is slope and c is the y-intercept

Table 1

since we have a point 0,0; the y-intercept here is zero

Let us get the slope. We can do this by selecting any two points

m = (y2-y1)/(x2-x1)

m = (2-10)/(-1+5) = -8/4 = -2

So the equation of the first line is;

y = -2x

Table 2

we get the slope

m = (4+2)/(7-1) = 6/6 = 1

The partial equation is;

y = x + c

To get c, we select any two point and substitute

4 = 7 + c

c = 4-7

c = -3

So the equation is;

y = x-3

To get the solution to both systems, we equate the y

-2x = x - 3

-2x-x = -3

-3x = -3

x = -3/-3

x = 1

To get y, we substitute;

recall; y = -2x

y = -2(1)

y = -2

Solution to the system is;

(1,-2)

You might be interested in
Quadrilateral ABCD is inscribed in circle as shown. What is the value of y?
julsineya [31]
The value of y is 83 degrees because any quadrilaterals opposite sides or angles are equal and opposite (or diagonal) from point D.

Hope this helps !
7 0
3 years ago
QUESTION 3 - Distinguish whether the following pairs of events are dependent
TiliK225 [7]

Two eventis are independent if knowledge about the first doesn't change your expectation about the second.

a) Independent: After you know that the first die showed 4, you stille expect all 6 numbers from the second. So, the fact that the first die showed 4 doesn't change your expectation about the second die: it can still show numbers from 1 to 6 with probability 1/6 each.

b) Independent: It's just the same as before. After you know that the first coin landed on heads, you still expect the second coin to land on heads or tails with probability 1/2 each. Knowledge about the first coin changed nothing about your expectation about the second coin.

a) Dependent: In this case, there is a cause-effect relation, so the events are dependent: knowing that a person is short-sighted makes you almost sure that he/she will wear glasses. So, knowledge about being short sighted changed your expectation about wearing glasses.

8 0
3 years ago
If anyone could help me with this I'd be very thankful !
Mariana [72]
60% = 0.6 = 3/5
25.5% = 0.255 = 51/200
90% = 0.9 = 9/10
33 1/3 = 0.3333 =
62.5% = 0.625 = 5/8
7.5% = 0.07 = 7/100

6 0
3 years ago
Solve the simultaneous equations​
nexus9112 [7]

Answer:

Step-by-step explanation:

2x + 3y = 2

x = 2 - 3y /2

x + y = 0

substitute the value of x

\frac{2 \\- 3y}{2} + y = 0

2 - 3y + 2y = 0

2 = y

again,substitute the value of y

x = 2 - 3y / 2

=2 - 3*2 / 2

=2 - 6 / 2

=-2

6 0
2 years ago
An investing group has $50,000 to invest. They put the money in an account that has an annual interest rate of 6%, compounded mo
natka813 [3]

Answer:

Use the formula for compound interest to determine the amount of money in each ... An investing group has $50,000 to invest. They put the money in an account that compounds interest ... How much money will the group have at the end of 10 years? 20. Interest is compounded quarterly at Money Bank at a rate of 5.5%.

I don't know if this helps

If it doesn't please don't delete it

4 0
3 years ago
Other questions:
  • What is 2 plus 2 plus 2 divided by 3
    8·2 answers
  • 5.4 puzzle time what do you call a frog with a cast on each of its back legs
    7·1 answer
  • Mr Murray’s distance away (in meters) from his classroom after t seconds can be modeled by the following equation: M(t) = 3.5t +
    8·1 answer
  • Did I do this right?
    12·1 answer
  • What is the Difference between Order of operations and Algebraic Expressions
    11·1 answer
  • Clara is growing her hair out and wants it to be no longer than 15 cm but more than 11 cm. Her hair is 7 cm right now and grows
    12·1 answer
  • A<br> 100 cm²<br> b<br> 9 cm²<br> c<br> 225 cm²<br> d<br> 28.26 cm²
    12·1 answer
  • James deposited $575 into a bank account that earned 5.5% simple interest each year. No money was deposited into or withdrawn fr
    9·2 answers
  • If Rosa walks 3 miles in 40 minutes, then Rosa will walk how far in 70 minutes if she walks at the same
    7·2 answers
  • Name the parallel line segments
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!