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
kicyunya [14]
3 years ago
5

Someone please help me with thiss

Mathematics
1 answer:
Olenka [21]3 years ago
7 0

Answer:

The total trip will be 4 hours long.

Step-by-step explanation:

The length of the trip decreases by 65/2 miles for every half hour. So in 2 half hours (or 1 hour), Aubree would have traveled the last 65 miles she needed.

You might be interested in
Please don't answer wrong.​
Tamiku [17]

Answer:

<h3><u>Part (a)</u></h3>

<u />

<u>Equation of a circle</u>

(x-a)^2+(y-b)^2=r^2

where:

  • (a, b) is the center
  • r is the radius

Given equation:  x^2+y^2=6.25

Comparing the given equation with the general equation of a circle, the given equation is a <u>circle</u> with:

  • center = (0, 0)
  • radius = \sqrt{6.25}=2.5

To draw the circle, place the point of a compass on the origin. Make the width of the compass 2.5 units, then draw a circle about the origin.

<h3><u>Part (b)</u></h3>

Given equation:  x+y=1.5

Rearrange the given equation to make y the subject:  y=-x+1.5

Find two points on the line:

x=-2 \implies -(-2)+1.5=3.5\implies (-2,3.5)

x=2 \implies -(2)+1.5\implies-0.5\implies (2,-0.5)

Plot the found points and draw a straight line through them.

The <u>points of intersection</u> of the circle and the straight line are the solutions to the equation.

To solve this algebraically, substitute  y=-x+1.5  into the equation of the circle to create a quadratic:

\implies x^2+(-x+1.5)^2=6.25

\implies x^2+x^2-3x+2.25=6.25

\implies 2x^2-3x-4=0

Now use the quadratic formula to solve for x:

x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0

\implies x=\dfrac{-(-3) \pm \sqrt{(-3)^2-4(2)(-4)}}{2(2)}

\implies x=\dfrac{3 \pm \sqrt{41}}{4}

To find the coordinates of the points of intersection, substitute the found values of x into y=-x+1.5

\implies y=-\left(\dfrac{3 + \sqrt{41}}{4}\right)+1.5=\dfrac{3-\sqrt{41}}{4}

\implies y=-\left(\dfrac{3 - \sqrt{41}}{4}\right)+1.5=\dfrac{3+\sqrt{41}}{4}

Therefore, the two points of intersection are:

\left(\dfrac{3 + \sqrt{41}}{4},\dfrac{3-\sqrt{41}}{4}\right) \textsf{ and }\left(\dfrac{3 - \sqrt{41}}{4},\dfrac{3+\sqrt{41}}{4}\right)

Or as decimals to 2 d.p.:

(2.35, -0.85) and (-0.85, 2.35)

6 0
2 years ago
Which equation represents a circle with a center at (-4,9) and a diameter of 10 units?
Dennis_Churaev [7]

Answer:

(x+4)^2 + (y-9)^2 = 25

Step-by-step explanation:

To write the equation of a circle, use the formula (x-h)^2+(y-k)^2 = r^2 where the center of the circle is (h, k).

This means the equation is (x--4)^2 + (y-9)^2 = r^2\\\(x+4)^2 + (y-9)^2 = r^2.

Find the radius r by dividing the diameter of 10 in 2. The radius is 5.

So the equation of the circle is (x+4)^2 + (y-9)^2 = 25

7 0
3 years ago
What best describes a triangle with angles measuring 60 degrees 40 degrees and 100 degrees
sladkih [1.3K]
Obtuse triangle if that’s what you’re asking
8 0
3 years ago
A theme park charges $52 for a day pass and $110 for a week pass. Last month, 4,432-day passes were sold and 979-week passes wer
Naddika [18.5K]

Answer:    $52 x 4 =230,464    $110 x 979 = 107,690.         ESTIMATED ANSWER: 300,000

230,464

+107,690= 338,154                

Step-by-step explanation: Hope this helped you!

3 0
2 years ago
Which data set has the greatest spread for the middle 50% of
qwelly [4]
I think it’s A I’m not sure
4 0
3 years ago
Read 2 more answers
Other questions:
  • A study will investigate the effectiveness of a new early reading program on
    7·1 answer
  • Which expression represents the distance -3 and 5 on the number line?
    15·1 answer
  • William works at a nearby electronics store. He makes a commission of %6, percent on everything he sells. If he sells a computer
    6·2 answers
  • Does the table represent a function? why or why not ?
    10·1 answer
  • I need help with 1/2x+13=9<br> im in the 8th grade btw
    7·2 answers
  • Three hundred thousand five thousand sixty three in standard form
    11·2 answers
  • What is the area of the figure?<br><br> _______ ft2
    13·1 answer
  • What is another name for intercept form?
    5·1 answer
  • Which graph shows the line y - 2 = 2(x + 2)?
    13·1 answer
  • Find four consecutive integers whose sum<br> is -22.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!