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Jobisdone [24]
2 years ago
7

Messi kicks a soccer ball from a position that is 3 meters from a sideline and 4 meters from a goal

Mathematics
1 answer:
Katarina [22]2 years ago
6 0

Answer:

( 4.8 ,7.6)

Step-by-step explanation:

We want to find the point, B(x,y) that divides the directed line segment from Messi, M(3,4) to S(6,10) in the ratio m:n=3:2

We use the section formula:

( \frac{mx_2+nx_1}{m + n} ,\frac{my_2+ny_1}{m + n})

We substitute the coordinates and the ratio into the section formula to get:

( \frac{3 \times 6+2 \times 3}{3 + 2} ,\frac{3 \times 10+2 \times 4}{3+ 2})

We simplify to get:

( \frac{18+6}{5} ,\frac{30+8}{5})

This gives us:

( \frac{24}{5} ,\frac{38}{5})

( 4.8 ,7.6)

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FWML is a parallelogram. Find the values of x and y. Solve for the value of z, if z=x−y
Dima020 [189]

Answer:

x=5

y=8

z=-3

Step-by-step explanation:

We have been given a parallelogram. We are asked to solve for the values of x and y.

We know that opposite sides of parallelogram are equal, so we can set equation as:

3x-3=x+7

3x-x-3=x-x+7

2x-3=7

2x-3+3=7+3

2x=10

\frac{2x}{2}=\frac{10}{2}

x=5

Similarly, we will solve for y.

2y-6=y+2

2y-y-6=y-y+2

y-6=2

y-6+6=2+6

y=8

To solve for z, we will subtract y from x as:

z=x-y\\z=5-8\\z=-3

Therefore, the value of z is negative 3.

4 0
2 years ago
The graph of a quadratic relationship is in the shape of a parabola. Parabolas are symmetric arcs and are useful for modeling re
zhuklara [117]

Answer:

  • The arcs on the Golden Gate Bridge.

Explanation:

I think about the Golden Gate Bridge, which is a suspension bridge.

As in any suspension bridge, a long cable is supported by two large supports.

The cable falls from a support, in the form of a curve concave upwards, to a minimum point that is the vertex of the<em> parabola</em>, through which the axis of <em>symmetry</em> passes, and curves again upwards to ascend to the upper end of the other support.

As a <em>unique feature</em> of this parabolic arc you can tell that the the concavity is upward; the parabola open upward.

Also, you can tell that the parabola is vertical, which means that the axis of symmetry is vertical.

The <em>symmetry</em> is clear because to the curve to the left of the vertex is a mirror image of the curve to the right of the vertex.

6 0
2 years ago
Suppose the time a child spends waiting at for the bus as a school bus stop is exponentially distributed with mean 7 minutes. De
Gala2k [10]

Answer:

The probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

Step-by-step explanation:

Let the random variable <em>X</em> represent the time a child spends waiting at for the bus as a school bus stop.

The random variable <em>X</em> is exponentially distributed with mean 7 minutes.

Then the parameter of the distribution is,\lambda=\frac{1}{\mu}=\frac{1}{7}.

The probability density function of <em>X</em> is:

f_{X}(x)=\lambda\cdot e^{-\lambda x};\ x>0,\ \lambda>0

Compute the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning as follows:

P(6\leq X\leq 9)=\int\limits^{9}_{6} {\lambda\cdot e^{-\lambda x}} \, dx

                      =\int\limits^{9}_{6} {\frac{1}{7}\cdot e^{-\frac{1}{7} \cdot x}} \, dx \\\\=\frac{1}{7}\cdot \int\limits^{9}_{6} {e^{-\frac{1}{7} \cdot x}} \, dx \\\\=[-e^{-\frac{1}{7} \cdot x}]^{9}_{6}\\\\=e^{-\frac{1}{7} \cdot 6}-e^{-\frac{1}{7} \cdot 9}\\\\=0.424373-0.276453\\\\=0.14792\\\\\approx 0.148

Thus, the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

6 0
2 years ago
The number of ducks to geese in Miller's Pond last year was 2:3. This year the ratio of ducks to geese is 5:9. The number of gee
My name is Ann [436]
No decreased-

Set up equaivalent ratioo. It started out 2 duck to every 3 geese, continue the pattern and see for a change

ducks   2    4   6
geese   3   6   9

but now its 5 ; 9 instead of 6 to 9, therefore the number of ducks decreased
4 0
2 years ago
Jessica shoebox is 20 cm long and 10 cm wide. How many more millimetres is the length of the shoebox than the width?
Jet001 [13]
Ok so for every 1 centimeter you get 10 millimeters. Meaning that if you multiply 20 * 10 you get 200 millimeters and if you multiply 10 * 10 you get 100. Now you subtract 200-100 and you get 100 millimeters.
8 0
2 years ago
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