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
Arada [10]
3 years ago
10

Please help me :)

Mathematics
2 answers:
Tatiana [17]3 years ago
4 0
Answer: the line AB and the line CD are perpendicular lines.

Explanation:

The easiest way to work this question is with a graph done at scale.

I elaborated the attached graph with the points A, B, C, and D, and the lines AB, AC, AC, and BD.

The line AB is in red, the line AC is in organe, the line CD is in green, and the line BD is in blue.

From that graph, you can discard quickly some choices, which will avoid some calculations.

The basis to answer this question are:

1) The slopes of parallel lines are equal

2) The product of the slopes of perpendicular lines is - 1, which implies that one slope is the negative inverse of the other slope.

3) Formula to calculate the slope:

slope = rise / run = Δy / Δx

So, now you can analyze each statement:

Are the line AB and line CD perpendicular?

They might be, so we must either measure the angle to check if it is 90° or calculate the slopes. I will calculate the slopes:

line AB:

slope = run / rise = (y2 - y1) / (x2 - x1) = (4 - 1) / (-2 - (-8) ) = 3 / 6 = 1 / 2

line CD:

slope = run / rise = (y2 - y1) / (x2 - x1) = (5 - (-1) ) / (- 6 - (-3) ) = 6 / (-3) = - 2

Bingo! Those slopes are perpendicular, because 1/2 * (-2) = - 1.

So, the answer to the problem is the first option: line AB and line CD are perpendicular lines.

Clearly the second option is absurd (it is the negation of the first one), the third option is also false because it is also the negation of the first one, and if you want you can calculate the slopes of the lines AC and BD, but the figure shows that they are not parallel.



Download pdf
Aneli [31]3 years ago
3 0
Lines AB and line CD are intersecting but are not exactly perpendicular
You might be interested in
Solve: 1/7x + 3/4=9/8
kherson [118]
<span><span>x=<span>​<span>21</span><span>​​/8

</span></span></span><span>Decimal Form: 2.625
</span>Hope that helped!!</span>
8 0
3 years ago
If z=2 what is z+6? This is a practice question.
castortr0y [4]
The answer to your question is 8, because you replace z with 2
4 0
3 years ago
Read 2 more answers
Select all that apply. Select the formulas that give the amount P in the account after the first period.
Lisa [10]

Options :

a.) P=1.005Po

b.) P=1.02Po

c.) P=Po(0.02/4)

d.) P=Po(4.02/4)

e.) P=Po(1+ 0.02/4)

Answer:

a.) P=1.005Po

d.) e.) P=Po(1+ 0.02/4)

Step-by-step explanation:

From the compound interest formula:

P = P0(1 + r/n)^t

Rate = 2% = 2/100 = 0.02

n = Number of compounding times per period, quarterly ; n = (12 /3) months

P = P0(1 + 0.02/4)^1

P = p0(1 + 0.02/4)

Simplifying further :

P = P0(1 + 0.005)

P = p0(1.005)

4 0
2 years ago
what is the answers?? please lmk i need the hours of Monday to Tuesday and how many hours did the Jacobys did in all ,please exp
SSSSS [86.1K]

Answer:


Step-by-step explanation:

A. Hours driving on monday= 5\frac{3}{4}=23/4 hours (5 x 4 +3)

Hours driving on tuesday= 4\frac{3}{4}=19/4 hours (4 x 4 +3)

Total hours = 23/4 + 19/4 = 42/4 = 10\frac{2}{4} hours

B. Total hours driving = Hours driving on (Monday + tuesday + wednesday + thursday)

Hours driving on wednesday= 2\frac{1}{4}=9/4 hours (2 x 4 +1)

Hours driving on thursday= 6\frac{3}{4}=27/4 hours (6 x 4 +3)

Total hours driving = 23/4 + 19/4 + 9/4 +27/4 = 78/4 = 19\frac{2}{4} hours

7 0
3 years ago
SOMEONE PLEASE HELP....
Anton [14]

Answer:

Step-by-step explanation:

(3x+4)(x^2+px+5) \\=3x^3+3px^2+15x+4x^2+4px+20\\=3x^3+(3p+4)x^2+(15+4p)x +20

since we know that x^2  in this expansion is -23x^{2}

thus 3p+4=-23\\3p=-27\\p=-9

Hope that helps!

6 0
2 years ago
Other questions:
  • I need someone really good in math to help me please
    9·1 answer
  • the perimeter of the base of an artifact shaped like rectangular prism is 16 inches the length of the base is 3 times the width
    13·1 answer
  • Sasha hikes into a canyon. She takes a break at the rest stations every 23 of a mile. If she started at sea level and has hiked
    11·1 answer
  • HELLO,I NEED HELP!!!50 POINTS!!!!<br><br> What is the formula for point slope form?
    14·2 answers
  • A scientist needs 4.8 liters of a 12% alcohol solution. She has available a 22% and a 10% solution. How many liters of the 22% a
    12·1 answer
  • I pleased anyone to help me please​
    9·2 answers
  • While on vacation, Joan decides to rent a bike. When she picked up the bike, she paid half the fee, then paid her nephew $10 to
    15·1 answer
  • If mZFBC = (10x – 9), mZCBE = (4x + 15),<br> find mZFBE.
    8·2 answers
  • Solve equation show work
    8·1 answer
  • Which equation is a direct variation function? y=x y=1/4x+2 y=x2 y=4​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!