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
BabaBlast [244]
1 year ago
12

Solve the following system by graphing and identify the point of intersection -5x+2y=-4 2x-y=2

Mathematics
2 answers:
FrozenT [24]1 year ago
8 0

Answer: Point of intersection (0, -2)

Step-by-step explanation:

guajiro [1.7K]1 year ago
8 0

Answer:

S =  (0, -2)

Step-by-step explanation:

Convert both standard form equations to slope-intercept form.

-5x+2y=-4 ⇒ y = 5/2(Decimal form: 2.5)x - 2

2x-y=2 ⇒ y = 2x - 2

Given:

⇒ L1 = y = 5/2x - 2

⇒ L2 = y = 2x - 2

The intersection is point:

⇒ S = (0, -2)

Steps:

To find intersection point we need to solve the following system of equations.

  • y = 5/2x - 2
  • y = 2x-2

STEP 1: Solve for x

5/2x - 2 = 2x - 2

5/2x - 2x = -2 + 2

1/2x = 0

x = 0

STEP 2:  Solve for y by substituting x = 0 into  first equation.

y = 5/2 * 0 - 2 = 0 - 2 = -2

You might be interested in
Lee filled up his gas tank before starting a road trip. If he has used 5.8 gallons two hours into the trip, and has 12.4 gallons
KATRIN_1 [288]
He started out with 19.1 gallons because if you add 5.8 and 12.4 you get 19.1
3 0
3 years ago
Sally can drive 750 miles in 12 hours and 30 minutes. What is her unit rate in miles per hour?
Kaylis [27]

Answer:

60

Step-by-step explanation:

750÷12.5=60

Convert 12 and a half hours into a decimal.=12.5

You would divide the 750 by the 12.5.

8 0
3 years ago
For the triangle shown below, complete the following table.
Virty [35]

Answer:

See below ~

Step-by-step explanation:

<u>Sin A</u> : opposing side of ∠A / hypotenuse

  • <u>3/5</u>

<u>Sin C</u> : opposing side of ∠C / hypotenuse

  • <u>4/5</u>

<u></u>

<u>Cos A</u> : adjacent side of ∠A / hypotenuse

  • <u>4/5</u>

<u></u>

<u>Cos C</u> : adjacent side of ∠C / hypotenuse

  • <u>3/5</u>
6 0
1 year ago
When Cam’s baby brother started drinking this bottle held 270 millimeters of milk how much did the baby drink
OverLord2011 [107]
The baby drank 150 mL of milk.
7 0
2 years ago
lan ran 24 laps in a charity run and then walked 0.2 kilometer to the presentation table the total; distance lan traveled was 29
QveST [7]

Answer:

Step-by-step explanation:

1.225km is equal to each laps

Step-by-step explanation:

Since Kristy total distance traveled = 29.6km

And Kristy ran 24 laps and later walk 0.2km. it simply implies that

Total distance traveled = distance covered running + distance covered walking

Since we know that

Total distance traveled = 29.6km

distance covered running = 24 laps

distance covered walking = 0.2km

Distance covered running in km = total distance traveled - distance covered walking

Distance covered running in km = 29.6km - 0.2km = 29.4km.

To now find the distance for each lap.

Since we have:

Distance covered running in km = 29.4km.

Distance covered running in lap = 24 laps

i.e

24 laps = 29.4km

1 lap = x

Use cross-multiple

24 laps * x = 29.4km × 1 lap

x = 29.4km / 24

x = 1.225km

Therefore

1.225km is equal to each laps.

8 0
2 years ago
Other questions:
  • PLEASE HELP! I WILL MAKE YOU BRAINLIST!
    14·1 answer
  • Please help as I can’t figure this out :(
    14·1 answer
  • Which is bigger 6.951 or 6.9313?
    7·1 answer
  • Can someone help <br> (THERE SHOULD BE A FILE)
    10·2 answers
  • It took Trina 1 hour and 30 minutes to shovel the snow from her neighbor’s driveway. During that time she burned 630 calories. H
    7·1 answer
  • What is the effect of k in the equation f(x)=x^2+k
    7·1 answer
  • Is the point (0, 8) on the x-axis or y-axis? How do you know?
    10·2 answers
  • I need help with this problem and I need it today​
    15·1 answer
  • A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B an
    12·2 answers
  • When two 6-sided dice are rolled, there are 36 possible outcomes. Find the probability that the sum is 8
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!