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
Anastasy [175]
3 years ago
15

Doreen lives 3/4 mile from the library. Sheila lives 1/3 AS FAR AWAY FROM THE LIBRARY AS DOREEN.

Mathematics
1 answer:
alexdok [17]3 years ago
3 0
What's the question that needs to be solved and I will help?
You might be interested in
The expression 2a+1.5b 2a+1.5b  gives the cost (in dollars) for a a cupcakes and b b cookies at a bake sale
zepelin [54]
Is there a question here? I can't see it!
5 0
3 years ago
At 10:00 AM Han and Tyler
NARA [144]
Eat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butteat butt
6 0
2 years ago
I need help with this question?
Delicious77 [7]
If I remember right the answer is c
5 0
3 years ago
The area of the triangle formed by x− and y− intercepts of the parabola y=0.5(x−3)(x+k) is equal to 1.5 square units. Find all p
Juliette [100K]

Check the picture below.


based on the equation, if we set y = 0, we'd end up with 0 = 0.5(x-3)(x-k).

and that will give us two x-intercepts, at x = 3 and x = k.

since the triangle is made by the x-intercepts and y-intercepts, then the parabola most likely has another x-intercept on the negative side of the x-axis, as you see in the picture, so chances are "k" is a negative value.

now, notice the picture, those intercepts make a triangle with a base = 3 + k, and height = y, where "y" is on the negative side.

let's find the y-intercept by setting x = 0 now,


\bf y=0.5(x-3)(x+k)\implies y=\cfrac{1}{2}(x-3)(x+k)\implies \stackrel{\textit{setting x = 0}}{y=\cfrac{1}{2}(0-3)(0+k)} \\\\\\ y=\cfrac{1}{2}(-3)(k)\implies \boxed{y=-\cfrac{3k}{2}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of a triangle}}{A=\cfrac{1}{2}bh}~~ \begin{cases} b=3+k\\ h=y\\ \quad -\frac{3k}{2}\\ A=1.5\\ \qquad \frac{3}{2} \end{cases}\implies \cfrac{3}{2}=\cfrac{1}{2}(3+k)\left(-\cfrac{3k}{2} \right)


\bf \cfrac{3}{2}=\cfrac{3+k}{2}\left( -\cfrac{3k}{2} \right)\implies \stackrel{\textit{multiplying by }\stackrel{LCD}{2}}{3=\cfrac{(3+k)(-3k)}{2}}\implies 6=-9k-3k^2 \\\\\\ 6=-3(3k+k^2)\implies \cfrac{6}{-3}=3k+k^2\implies -2=3k+k^2 \\\\\\ 0=k^2+3k+2\implies 0=(k+2)(k+1)\implies k= \begin{cases} -2\\ -1 \end{cases}


now, we can plug those values on A = (1/2)bh,


\bf \stackrel{\textit{using k = -2}}{A=\cfrac{1}{2}(3+k)\left(-\cfrac{3k}{2} \right)}\implies A=\cfrac{1}{2}(3-2)\left(-\cfrac{3(-2)}{2} \right)\implies A=\cfrac{1}{2}(1)(3) \\\\\\ A=\cfrac{3}{2}\implies A=1.5 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{using k = -1}}{A=\cfrac{1}{2}(3+k)\left(-\cfrac{3k}{2} \right)}\implies A=\cfrac{1}{2}(3-1)\left(-\cfrac{3(-1)}{2} \right) \\\\\\ A=\cfrac{1}{2}(2)\left( \cfrac{3}{2} \right)\implies A=\cfrac{3}{2}\implies A=1.5

7 0
3 years ago
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N i
Brilliant_brown [7]

Answer:

c

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Circle A has a diameter of 8 inches, a circumference of 25.12 inches, and an area of 50.24 square inches. The diameter of circle
    10·1 answer
  • State the various effect of force
    7·1 answer
  • 1. x – 5y = -15<br> Complete the missing value in the solution to the equation (-5, ____)
    9·2 answers
  • antonio measures items in his pocket he knows there are 50 millimeters in 5 centimeters his key chain is 3.5 centimeters long hi
    15·1 answer
  • Find the GCF if the following monomials. -50m^4n^7 and 40m^2n^10
    5·1 answer
  • The volume of a cube is 1000cm^3. what is the length of an edge
    15·1 answer
  • NEED HELP!!!!!!!!!!!!!!!!!!!!!
    14·1 answer
  • PLEASE HELP <br> Find the diameter of the object.
    6·2 answers
  • Find the value of x.<br> 130°<br> (3x + 5)º
    7·1 answer
  • Step 3: Write the equation of the line that passes through the point (4,−1)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!