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DaniilM [7]
3 years ago
8

At its first stop, a bus picked up 17

Mathematics
1 answer:
Irina18 [472]3 years ago
7 0
17 people was left on the bus
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Write a subtraction sentence that you can use to find the length of the side of the polygon between the vertices located at (3,4
max2010maxim [7]
Subtract The x’s and the y’s. 3-3=0, 4-1=3. Thus, the length of this side is 3 units
8 0
2 years ago
Of the ice cream cones sold yesterday at brendan's ice cream shop, 2/5 were chocolate and another 1/2 were vanilla. what fractio
omeli [17]
2/5 + 1/2 = 9/10


2/5 x 2/2 = 4/10
1/2 x 5/5 = 5/10

4/10 + 5/10 = 9/10


9/10 of the ice cream cones sold were either chocolate or vanilla.
7 0
3 years ago
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 decimal is equivalent to 25/6 ?
Fed [463]

Answer:

4.1667

Your welcome!

3 0
3 years ago
Assume f(x)=-2x+8 and g(x)=3x. what is the value of (g o f)(3)
Olin [163]

Answer:

6

Step-by-step explanation:

(g o f)(3) = g(f(3))

We can find f(3) using its formula with x=3:

f(3) = -2·3 +8 = -6 +8 = 2

Now, we can find g(2) using its formula with x=2:

g(2) = 3·2 = 6

So, the composition value is ...

(g o f)(3) = 6

7 0
3 years ago
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