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
alexdok [17]
3 years ago
7

A graph creates a triangle with the x-axis, the line 3x-2y=0, and the line x+2y=10. Find the area of the triangle formed in squa

re units.
Mathematics
1 answer:
MariettaO [177]3 years ago
6 0

Answer:

18.75

Step-by-step explanation:

To identify the vertices of this triangle, you need to find the x intercepts of both lines, as where their solutions match. Let's start with setting them equal to each other. If you subtract 10 from both sides of the second equation, then both equations are left equaling zero.  You can also multiply both sides of the equation by -1 for easier solving later Now:

3x-2y=-2y-x+10

4x=10

x=2.5

y=3.75

This shows that the height of this triangle is 3.75. Now, to find the x intercepts of both equations, we simply have to plug in the y value as 0. For the first one, 3x-0=0, so x=0 as well and the coordinates are (0,0). For the second one, x+0=10, so x=10 and the coordinates are (10,0). This shows that the base is 10-0=10 units long. The formula for the area of a triangle is \frac{bh}{2}=\frac{10\cdot3.75}{2}=18.75. Hope this helps!

You might be interested in
Mr.jone wants to buy 6 tickets to a play.Each ticket costs $10 Mr.Jone has $45 in his pocket. How much more money does he need t
Snowcat [4.5K]
He needs $15 more to buy the tickets.
8 0
3 years ago
Read 2 more answers
Question 6
marin [14]

Answer:

18 miles per hour is an outlier

the outlier decreases the mean speed

Step-by-step explanation:

the low number of 18 is way different from the other numbers being in the 30's and 40's

this 18 will bring the mean of all the numbers own because it is a smaller number.

8 0
3 years ago
A line passes through the point (10,-8) and has a slope of negative 3/2Write an equation in slope-intercept form for this line.
zhuklara [117]

Answer:

9383

Step-by-step explanation:

4 0
3 years ago
In a football game, Jim's team gained 7 yards on the first play, lost 2 yards on the second play, and lost 10 yards on the third
Ghella [55]

Answer:

team loss after three games is 5.

Step-by-step explanation:

we will use positive sign for gain and negative sign for loss.

Given

Jim's team gained 7 yards on the first play

gain of yards = +7

lost 2 yards on the second play

loss of yards = -2

lost 10 yards on the third play

loss of yards = -10

Total yards gain or lost by Jim's team = +7 + (- 2) + ( - 10)

Total yards gain or lost by Jim's team = +7 -2 -10 = -5

sine sign is negative, it means there is loss and the net loss is 7 yards.

Thus, team loss after three games is 5.

3 0
3 years ago
HELP PLEASE ASAP!!!!!!!!!!!!!!!!!!!!!!!
levacccp [35]

Answer:

3

Step-by-step explanation:

(plz mark as branliest if correct)

4 0
3 years ago
Read 2 more answers
Other questions:
  • If the length of side a is 12 centimeters, m_B = 36°, and m2C = 75°, what is the length of side b?
    5·1 answer
  • Solve 0.1x+0.03x+0.35=0.2x?
    15·2 answers
  • A truck drives 312 miles in 6.5 hours. What is the trucks speed for that trip?
    12·2 answers
  • Which statements are true regarding the area of circle
    12·2 answers
  • Find -1 2/3 + 5/6 on the number line
    12·1 answer
  • Fill in the blanks. If the triangles cannot be shown to be congruent from the information given, leave the triangle's name blank
    8·1 answer
  • How do you express 0.50 as a percentage?<br> 5%<br> 5/100<br> 50/100<br> 50%
    11·2 answers
  • If 3x - (7 - x) = 29, find the value of 6x.<br><br> A 6x=54<br> B 6x=60<br> C 6x=46<br> D 6x=45
    8·1 answer
  • Help!!!!!! 15 Points!!!!!!!!!!!!!!!!!!!!!!!
    12·1 answer
  • What is the volume of a cylinder with a radius of 13yd and height of 8yd
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!