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Illusion [34]
3 years ago
14

The archway of the main entrance of a university is modeled by the quadratic equation y = -x2 + 6x. The university is hanging a

banner at the main entrance at an angle defined by the equation 4y = 21 − x. At what points should the banner be attached to the archway?
A(1, 5.5) and (5.25, 6.56)
B(1, 5) and (5.25, 3.94)
C(1.5, 4.87) and (3.5, 4.37)
D(1.5, 5.62) and (3.5, 6.12)
EThere is no real solution.
Mathematics
2 answers:
katrin [286]3 years ago
5 0

Basically look for the intersection points of these two functions by setting them equal to each other.

-x^2 + 6x = 21/4 - x/4

-x^2 + (25/4)x - 21/4 = 0

x = 1 and x = 21/4


Plug these points back to any of the two original equations, you will get

(1,5) and (21/4, 63/16)


denpristay [2]3 years ago
4 0

1.5 ........ 5.25..... 3.94

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Please help me please help me
Gelneren [198K]
(a)
the list would be
-20, -12, -8, -1, 1, 5, 10
the other intergers would have to be greater than 1 in order to be on the correct side and cause 1 to be in the middle. They could be anything but 5 and 10 because these were already chosen.

(b)
the list would be like before
-3 was not included so one of the chosen would be -3 and the other would have to be less than -3 but not -8, -12, or -20 beacuse those were already chosen
8 0
2 years ago
HELP PLZ!!! I'M GIVING 15 POINTS FOR IT!!!!!!
Sati [7]

Answer:

a. True

b. False

c. True

d. False

Step-by-step explanation:

a. True

Where, there are three straight lines intersecting one another, and whereby the sum of the interior angles formed between one of the straight lines and the other two is less than 180°, then the other two straight lines will cross if extended further on the same side of the figure where  the sum of the intersecting angles between the lines was found to be less than 180°.

The converse statements is that

If three lines are drawn with two of the lines converging, then the third line can be drawn such that the sum of the interior angles between it and the other two lines is less than 180°

The contrapositive statements is that

If the sum of the interior angles between a first line and the other two lines is equal to 180° then the other two lines will not meet

b. False.

The answer is false is false because,

The length of the sides of the square must be equal

The interior angles of the square must also be equal

c. True

From Postulate 1, the sum of two adjacent angles on one side of the two intersecting lines is equal to 180°. So also on the other side of the intersection, the sum of the adjacent angles is equal to 180.

Therefore, we have

180° + 180° = 360°

The converse statements is that

If two lines meet at a point then the sum of angles at the point is 360°

The contrapositive statements is that

If the two lines do not meet, then the sum of angles on each line is 180°

d. False

A parallel line can be drawn from any point not on the line.

8 0
3 years ago
What is the slope of the line passing through the points (-3, 4) and (2, - 1)?
dimaraw [331]

Answer:

slope = -1 or -x

Step-by-step explanation:

Do y2-y1/x2-x1

Plug in

-1 - 4/ 2 - -3 = -5/5

(Simplify)

-1 so the slope is

-1 or -x

If you want to find the equation use one of the points you have.

4 = -1(-3) + b

4 = 3 + b (subtract 3 on each side)

1 = b

y = -1x + 1 is the equation

6 0
3 years ago
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Damm [24]

Answer:

34

Step-by-step explanation:

i honestly don't care i came on here to cheat but it's saying answer so here you go   :)

3 0
2 years ago
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dmitriy555 [2]

Answer:

Kidneys,nephrons

Step-by-step explanation:

6 0
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