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
NeTakaya
2 years ago
10

Which systems of equations intersect at point A in this graph?

Mathematics
1 answer:
abruzzese [7]2 years ago
3 0

Answer:

The point of intersection of the system of equations is:

(x, y) =  (-2, 1)

The correct system of equations intersect at point A in this graph will be:

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Thus, the second option is correct.

Step-by-step explanation:

Given the point

  • A (-2, 1)

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Arrange equation variable for elimination

\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}

so

y+3x=-5

-

\underline{y-4x=9}

7x=-14

so the system of equations becomes

\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}

Solve 7x = -14 for x

7x=-14

Divide both sides by 7

\frac{7x}{7}=\frac{-14}{7}

Simplify

x = -2

For y - 4x = 9 plug in x = 2

y-4\left(-2\right)=9

y+4\cdot \:2=9

y+8=9

Subtract 8 from both sides

y+8-8=9-8

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) =  (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Thus, the second option is correct.

You might be interested in
Please help!!! How do you count (-3y^2+5y) (4y+7)??
levacccp [35]

You must distribute each value like this:

(-3y^2+5y) (4y+7)\\ \\ (-12y^3-21y^2+20y^2+35y)\\ \\ (-12y^3-y^2+35y)

Hope that helps!

6 0
3 years ago
A car tire with a radius of 16inches is turning at a rate of 120 revolutions per minute. Find the exact linear speed of the tire
anygoal [31]

Answer:

The speed of the tyre of the car is 1002.24 feet per minute .

Step-by-step explanation:

Given as :

The radius of the car wheel = r = 16 inches

Since 12 inches = 1 feet

So,  16 inches = \frac{1}{12}×16 = 1.33 feet

The number of revolution of the wheel = 120 revolution per minute

Let The speed of the wheel = s feet per minute

The circumference of wheel = 2 × \pi × radius

where  \pi  = 3.14

or, circumference =  2 × 3.14 × 1.33

Or, Circumference = 8.352 feet

Now , Speed =  circumference of wheel × number of revolution

or, Speed = 8.352 feet × 120 revolution per minute

∴ Speed = 1002.24 feet per minute

Hence The speed of the tyre of the car is 1002.24 feet per minute . Answer

4 0
3 years ago
HELP FOR BRAINLIEST<br> 55 POINTS !!!
Darya [45]

Step-by-step explanation:

m \angle DBE =  \frac{1}{2}  \{m (arc\: AC) + m (arc\: DE)  \} \\  \\  =  \frac{1}{2} (130 \degree + 40 \degree) \\  \\  =  \frac{1}{2}  \times 170 \degree \\  \\    \huge \purple{ \boxed{\therefore  m \angle DBE = 85\degree}}

Hence, option A 85° is the correct answer.

5 0
2 years ago
Read 2 more answers
4x-6y=14 slope and y intercept?
alexandr1967 [171]

Answer:

m = 0.667

Step-by-step explanation:

Calculate and show the solution for the x-intercept and y-intercept of 4x - 6y = 14.

Calculate the graph plot coordinates for 4x - 6y = 14

Solve 4x - 6y = 14 for x and also for y.

Calculate and show the solution for the slope of 4x - 6y = 14

Find x-intercept

The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.

4x - 6y = 14

4x - 6(0) = 14

x1 = 3.5    y1 = 0

Find y-intercept

The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.

4x - 6y = 14

4(0) - 6y = 14

y2 = -2.333    x2 = 0

Get Graph Plot Coordinates

Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2).

Thus, we use the x-intercept and y-intercept results above to get the graph plots for 4x - 6y = 14 as follows:

(x1,y1) and (x2,y2)

(3.5,0) and (0,-2.333)

Find slope

The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 4x - 6y = 14

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

m = (-2.333 - 0)/(0 - 3.5)

m = 0.667

hope this is correct! c:

3 0
2 years ago
Read 2 more answers
Verify and name the property: a x ( b x c ) = ( a x b ) x c <br> for a = (−) , b = (−) , c =
Lilit [14]

Answer:

Associative property under multiplication.

5 0
2 years ago
Read 2 more answers
Other questions:
  • How to use a number line to order any three rational numbers from least to greatest
    8·1 answer
  • Brenda conducts a survey of 100 students to see how their study habits and their grades are related. She wants to see whether st
    8·1 answer
  • Which of the following functions f(x) represent the order pairs:
    13·1 answer
  • Find the volume of a sphere with a diameter 30 ft. Give your answer in terms of Pi.
    15·1 answer
  • Plz help meeeeee 9q=81
    8·2 answers
  • Naveen has a bag that contains 6 blue marbles, 3 green marbles, and 1 red marble. He will draw one marble randomly from the bag.
    5·1 answer
  • Plssss help with this ty
    10·2 answers
  • 2(x + 31.5) = 3x + 24
    12·1 answer
  • How do I get 1 on 1 turtoring
    10·1 answer
  • Check all the factors of 2. * 0 1 2 3
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!