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marshall27 [118]
3 years ago
15

The length of a rectangle is shown below: On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis two

points A and B are shown. The point A is on ordered pair 2, 1, and the point B is on ordered pair negative 1, 1. A straight line joins the points A and B. If the area of the rectangle to be drawn is 18 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle? (1 point) C(−1, −2), D(2, −2) C(−1, −8), D(2, −8) C(−1, −5), D(2, −5) C(−1, −6), D(2, −6)
Mathematics
1 answer:
Degger [83]3 years ago
5 0

9514 1404 393

Answer:

  3.  C(−1, −5), D(2, −5)

Step-by-step explanation:

The given points are 2 -(-1) = 3 units apart horizontally, so the remaining points will need to be 18/3 = 6 units below, vertically. Translating the given points down 6 gives ...

  D = A -(0, 6) = (2, 1) -(0, 6) = (2, -5)

  C = B -(0, 6) = (-1, 1) -(0, 6) = (-1, -5)

The two points required to make a rectangle with an area of 18 square units are ...

  C(-1, -5), D(2, -5)

_____

The area of a rectangle is the product of length and width. If the area is 18 square units, and the width is 3 units, then the length must be 6 units. 3×6=18.

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Do. Had an album that holds 900 photos. Each page of albums holds 9 photos. If 37% of the album is empty, how many pages are fil
Xelga [282]

Answer:

63 pages are filled with photos.

Step-by-step explanation:

900 photos with 9 photos a page 900/9=100

100 pages

37% of 100 is 37

100-37 is 63

7 0
3 years ago
Fill in the blanks to explain how Harry can check whether his solution is correct
Tresset [83]

<u><em>Answer is in bold</em></u>

Harry can first substitute 30 for t. He can then multiply \frac{1}{3} by 30 to get a product of 10. Since 15 is equal to 30 × 1/2, Harry's solution is not correct.

Hope this helps :)

Have a great day!

5 0
2 years ago
If f(x) = 3^x and g(x) = 3^(x+1)+6. Describe the transformations from f(x) to g(x).
OlgaM077 [116]
To move tot he right h units, subtract h from every x to move up k units, add k to the whole equaiton added 1 to every x (subtract -1) added6 to whole thing moved -1 to right (moved 1 to left) moved up 6 units answer is A
5 0
3 years ago
HELPPPPPPPPPPPPPPP RATE 5 STARSS
Stels [109]

Answer:

13. c,

14. a.

Step-by-step explanation:

13.  The length of a side PQ with coordinates of

      P as (x,y)  and Q as (w,z)

       is: \sqrt{(x-w)^{2} +(y-z)^{2} }

  • so, the length of the side AB =

\sqrt{(5-5)^{2}+(-2+7)^{2}  } =\sqrt{0^{2}+5^{2}  } =5

  • the length of side BC =

\sqrt{(5-1)^{2}+(-7+2)^{2}  } =\sqrt{(4)^{2}+(-5)^{2}  } =\sqrt{4^{2}+5^{2}  }

  • the length of side AC=

\sqrt{(5-1)^{2} +(-2+2)^{2} } =\sqrt{4^{2} } =4

now, the easiest one will be when the vertices are on the coordinate axes.

  • so, option c will be the most appropriate one.

14. If u see the figure clearly, the lines l and FH are parallel.

the parallel postulate, i.e, the alternate interior angles will always be congruent.

  • here, the alternate interior angles are angle1 and angle4.
  • therefore to prove this step, he used parallel postulate as a reason.
  • so, the correct option is "a"

7 0
3 years ago
Find the value of q in the following system so that the solution to the system is(4,2) 3x-2y=8
Nataliya [291]
We have that
<span>3x-2y=8 -----> equation 1
2x+3y=Q----> equation 2

the solution is the point </span><span>(4,2)
in the equation 2 substitute the value of
x=4
y=2
so
</span>2x+3y=Q------> 2*4+3*2=Q-------> Q=8+6------> Q=14
<span>
the answer is
Q=14

</span>
3 0
3 years ago
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