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3 years ago

. Sophie is playing outside with her friends; some of their time outside is sketched in the graph below.

Mathematics

1 answer:

Taya2010 [7]3 years ago

3 0

Answer:

At the origin, or (0,0), they were still at the original location.

Then, they traveled 40 meters and stayed there for a long time. We can see this because the distance increased at first and then stayed the same, shown by a straight line. They could've run around and then took a break and sat down.

Then, they traveled very fast to another location, shown by the exponential growth, and stayed there for a while, shown by the straight line. They could've biked somewhere like a restaurant and ate there.

Then, they took one long trip back to the original spot, shown by the straight line and how the distance decreased.

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The point A = (7,4) is dilated from the origin by a scale factor r = 3. What are the coordinates of A' ?

fomenos

Given:

The coordinates of point A are (7,4).

It is dilated from the origin by a scale factor r = 3.

To find:

The coordinates of A'.

Solution:

If a figure is dilated from the origin by a scale factor k, then

$(x,y)\to (kx,ky)$

Here, the figure is dilated from the origin by a scale factor 3, so the rule of dilation is given by:

$(x,y)\to (3x,3y)$

Using this rule, we get

$A(7,4)\to A'(3(7),3(4))$

$A(7,4)\to A'(21,12)$

Therefore, the coordinates of point A' are (21,12).

6 0

3 years ago

Mr. hershman has purchased a farm that is in the shape of a rectangle. the dimensions of the piece of land are 1.3 km by 3.15 km

natita [175]

4.095km = 409.5 hectares

5 0

3 years ago

7. The hexagon GIKMPR is regular. The dashed line segments form 30 degree angles. what is the image of oh after a rotation of 18

velikii [3]

Answer:

The image of OH is ON.

Step-by-step explanation:

Te figure GIKMPR is a regular hexagon. The number of vertices of a regular hexagon is 6. The central angle between any two consecutive vertices is 60 degree.

The dashed line segments form 30 degree angles.

If we rotate the hexagon 180 degree about O, then the each point shifts to 6th place from its original place.

Since we rotate the hexagon 180 degree about O, so the image and preimage lies on a straight line. Because a straight line make angle of 180 degree.

The line OH and ON lies on a straight line therefore the image of OH is ON.

3 0

3 years ago

Write the equation of the line with slope = -3 and passes through (2,7)

andriy [413]

Answer:

Step-by-step explanation:

y - 7 = -3(x - 2)

y - 7 = -3x + 6

y = -3x + 13

6 0

3 years ago

A student charges $31.50 for 3 hours of babysitting. If the amount the student earns babysitting is proportional to the hours sp

vodomira [7]

Answer:

C) y is equal to 10.5x

Step-by-step explanation:

$31.50 is charged for <em>3 </em>hours so, for 1 hour we need to divide 31.50 by 3, which results in 10.50. So 1 hour of babysitting is $10.50

this is because x is equal to the number of hours they babysit. we do not know the actual so it is replaced with x

and y is equal to the sum of 10.5x because we multiply the number of hours worked, and the amount per hour.

7 0

3 years ago