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iogann1982 [59]
3 years ago
8

Amanda placed her finger on the origin of a regular coordinate plane. She marked a point after moving her finger 1 unit to the l

eft and 5 units down. What is the order pair of the point that Amanda marked?
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0

Answer:

( x , y ) = ( -1 , - 5 )

Step-by-step explanation:

Solution:-

- The rectangular coordinate system ( Cartesian ) is defined by two independent variables namely, "x and y".

- The values of both varibales lie on the horizontal and vertical line respectively, ( x & y ).

- The values on the horizontal axis also known as the x-axis is marked with a referece of x = 0 ( origin ). All the values to the right of the point of origin are denoted as positive units and all values to the left of the point of origin are denoted as negative units.

- Similarly, The values on the vertical axis also known as the y-axis is marked with a referece of y = 0 ( origin ). All the values to the above the point of origin are denoted as positive units and all values below of the point of origin are denoted as negative units.

- The axis are conventionally oriented such that 90 degrees angle is formed in between them and always denoted in the counter-clockwise direction.

In other words, if +x is pointing to the right then the +y will be pointed in the direction when +x is rotated counter clockwise to 90 degrees; hence, points upward.

- When Amanda starts off at the origin she is at the order pair  ( 0 , 0 ).

- She then moves her finger 1 unit to left ( -x ) and 5 units down ( -y ). Hence, she moves 1 unit along the -x direction and then moves 5 units down along -y direction.

Hence, she is at an ordered pair ( x , y ) = ( -1 , - 5 ) .

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Identify the equation in slope-intercept form for the line containing the point (0,7) and perpendicular to y=−5/4x+11/4.
g100num [7]

Answer:

4/5x + 7

Step-by-step explanation:

the slope-intercept form is y = ax+b

a is the slope, to figure it out the line is perpendicular to y = -5/4x+11/4

There is a rule said if two lines are perpendiculars, the multiplication of their slopes = -1, so -5/4 * a = 1, solve for a = 4/5

b is the intercept to get it use the point (0,7)

so y = 4/5x+b, 7 = 4/5 * 0 + b,  then b = 7

4 0
2 years ago
A fruit bowl is shaped like half of a sphere. The radius of the bowl is 15 cm. What is the volume of the bowl?
Delicious77 [7]

Answer:

(4500(Pi))/2 or 7068.585

Step-by-step explanation:

r = 15 cm

volume of a sphere:

(4/3)(Pi)r^3

Therefore:

(4/3)(Pi)15^3

15^3 = 3375

4/3 * 3375 = 4500

and since it is half a sphere (it is a bowl) the answer would be divided by two:

4500(Pi) divided by 2

14137.17 divided by 2

5 0
3 years ago
Investing $27,000 in an account paying 7.25% interest compounded quarterly.
Monica [59]

Answer:

Jamie account will be 25042.5 in 14 years.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please help! 35 equals 45-n;10,11,12
Alex
35 = 45 -12
Nope

35 = 45 -11
Nope

35 = 45 - 10
Yep!

10 is your answer!

<span>Hope I helped! (Pick my answer as brainliest!)</span>
3 0
2 years ago
AB<br> Round your answer to the nearest hundredth.<br> А<br> 50°<br> 6<br> 12<br> B
Nezavi [6.7K]

Answer:

h = 7.832

Step-by-step explanation:

This is a right angled triangle so, taking 50 as reference angle,

hypotenuse = ?

perpendicular = 6

The ratio for p and h is given by

Sin 50 = p/h

Sin 50 = 6 /h

h = 6 / Sin 50

h = 7.832

5 0
2 years ago
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