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
morpeh [17]
3 years ago
8

The line passing the points (-4,5) and (x,-13) is parallel to a line that has a slope of 9/2 what is the value of x ?

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
5 0

Answer:

x = - 8

Step-by-step explanation:

Calculate m using the slope formula and equate, since parallel lines have equal slopes.

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 5) and (x₂, y₂ ) = (x, - 13)

m = \frac{-13-5}{x+4} = \frac{-18}{x+4} and equating

\frac{-18}{x+4} = \frac{9}{2} ( cross- multiply )

9(x + 4) = - 36 ( divide both sides by 9 )

x + 4 = - 4 ( subtract 4 from both sides )

x = - 8

You might be interested in
Find the area of the triangle whose vertices are (0,4) , (0,0) and (2,0) by plotting them on graph
Luden [163]

Refer to the attached image. Since one vertex is the origin and the other two lay on the coordinate axes, the triangle is a right triangle. This means that, if we consider AB to the be base, AC is his height, and vice versa.

Anyway, it means that the area is given by

A = \cfrac{\overline{AB}\times\overline{AC}}{2}

Since AB is a horizontal segment and AC is a vertical segment, their length is given by the absolute difference of the non-constant coordinate: points A and B share the same x coordinate, so we subtract the y coordinates:

\overline{AB} = |2-0| = |2| = 2

The opposite goes for AC: points A and C share the same y coordinate, so we subtract the x coordinates:

\overline{AC} = |4-0| = |4| = 4

So, the area is

A = \cfrac{2\times 4}{2} = 4

4 0
3 years ago
Which polygons can be mapped onto each other by similarity transformations?
Julli [10]
Polygon A,B,C,D,E and polygon L,M,N.O.K
3 0
3 years ago
Read 2 more answers
What is the radian measure of the smallest angle formed by the hands of a clock at 7 o'clock?
netineya [11]
See the picture attached to better understand the problem
we know that
a full circle is a 360 degrees
divided in 12 equals parts-------> 360/12-------> 30 degrees each part

<span>the smallest angle formed by the hands of a clock at 7 o'clock has 5 parts
so
5*30</span>°------> 150°

convert to radian
pi radians---------> 180°
 x ---------------> 150°
x=150*pi/180--------> x=0.83*pi radians

the answer is
0.83*pi radians  or 2.62 radians

5 0
3 years ago
Fine the length of the hypotenuse of a Right triangle with legs pf 20cm and21cm
Arisa [49]

Hypotenuse² = perpendicular² + base²

H² = 20²+21²

H²= 400+441 = 841

H = √841

H = 29 cm

3 0
3 years ago
Brianna has $50 in her bank account. She pays $6 to attend her school football game. She wants to buy hotdogs for her and her fr
sattari [20]

Answer:

12

Step-by-step explanation:

$50-6 (ticket to game) = 44 - $20 (the balance she wants to have left) = $24.

$24/2=12 (amount of hotdogs she can buy)

6 0
3 years ago
Other questions:
  • Kwamee created a coffee blend for his cafe by mixing Kona beans and Fuji beans.Kona beans cost $11 per pound and Fuji beans cost
    14·1 answer
  • Length=x^2 -8; W= -x+12 <br><br><br> PLEASE HELP!
    7·1 answer
  • Yoshi is 5% taller today than she was one year ago. Her current height is 168 cm. How tall was she one year ago
    5·2 answers
  • First to answer gets brainlest! Hurry this is a test.
    14·1 answer
  • An 8 pack of glue for $3.99 or 1 glue stick for $ .54
    8·2 answers
  • Adrian is going to the store and needs milk he needs 4 bottles of milk he has 14$ and each cost 4$ does he have enough money
    12·2 answers
  • Answer the following question for a chance of
    7·1 answer
  • List the types of degrees that are available to you after high school.
    5·1 answer
  • Write in word form (5+7)x2
    11·2 answers
  • How do I add mixed numbers?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!