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scZoUnD [109]
3 years ago
8

I need to simplify this expression: 4×4+4(5-2)+7

Mathematics
1 answer:
atroni [7]3 years ago
7 0

Answer:

35

Step-by-step explanation:

4x4+4(5-2)+7

=4x4+4(3)+7

=16+12+7

=28+7

=35

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Vanessa draws one side of equilateral ΔABC on the coordinate plane at points A(–2, 1) and B(4,1). What are the possible coordina
grandymaker [24]

Important question. No menu of choices given so we'll just have to figure it out.

It's not possible in two dimensions for all three vertices of an equilateral triangle to be lattice points, i.e. points with integer coordinates.  

Since A(-2,1) and B(4,1) have integer coordinates, our other point won't. There will be a √3 involved, the algebraic tell that there's a 30/60/90 triangle lurking somewhere in the problem.

Here the given side is parallel to the x axis which makes things easier.  

|AB| = 4 - -2 = 6

The x coordinate of the third vertex will be the same as that of the midpoint of AB, let's call it M,

M = ( (-2 + 4) / 2, (1 + 1)/2 ) = (1, 1)

We're making some progress.  Whatever our height h is our two candidates for the third vertex C are (1, 1 ± h).

Since |AB|=6, we get |AB|=|BC|=|AC|=6 because it's an equilateral triangle.

The altitude CM bisects the triangle into 2 30/60/90 triangles.  Let's take one of them, AMC.  Angle AMC is a right angle, so we have a right triangle with legs |AM|=3 and |CM|=h, and hypotenuse |AC|=6. The Pythagorean Theorem tells us:

3² + h² = 6²

9 + h² = 36

h² = 27

h = 3√3

Answer: C is (1, 1 + 3√3) or (1, 1 - 3√3)

4 0
3 years ago
Can you guys help me please
Setler79 [48]

Answer:   A And B

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Finding out how many events can someone attend with the cost of $36
Tcecarenko [31]
They're allowed to join for $15. And for every event, they have to pay $3.

3x = 21

x = 7

Someone who has $36 can attend 7 events.
6 0
3 years ago
Answer this question please and thank you
Murljashka [212]

Answer:

1

1

0

0

Step-by-step explanation:

here´s and example for 1

1⁵

1x1x1x1x1=1

so 1 raised to the power of any number is 1

1 multiply by itself any number of times is 1

here´s an example for 0

0⁴

0x0x0x0=0

hence, the vale of 0 raised to any power is 0.

0 multiplied by itself any number of times is 0

8 0
2 years ago
Jada has a rectangular garden that is 10 meters long and 20 meters wide. (1 meter = 39.37 inches) how long is the garden measure
Rina8888 [55]
I think the answer is if you multiply. 10m X 20w= 200, now if you devide 39.37 in 200 is equal to 5.08in
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3 years ago
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