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Ivanshal [37]
3 years ago
11

Which constant term should be used to complete the square? x^2-5x+__=7

Mathematics
1 answer:
lora16 [44]3 years ago
7 0
The constant term should be (-5/2)^2 or (5/2)^2 or 25/4. This constant term comes from taking the coefficient on the x^1 term, halving it, and then squaring it.
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Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100 square centimeters
chubhunter [2.5K]

Answer:

1 g/cm³

Step-by-step explanation:

Volume of the model:

V=1/3bh= 1/3*100*6= 300 cm³

Density= weight/volume= 300 g/300 cm³= 1 g/cm³

The lowest density is 1 g/cm³

7 0
3 years ago
What number is 12 more than 43
Nata [24]
55. If it says 12 more, you add 12 to 43 to get 55. 
4 0
3 years ago
Read 2 more answers
Find the volume of the figure below. Leave answer in terms of t. Round to the nearest hundredth if necessary.
Vinil7 [7]

Answer:

36π

Step-by-step explanation:

d= 6 in

r= d/2=6/2= 3 in

volume of sphere= 4/3πr^3

=4/3 ×π×3^3

=36π in^3

8 0
2 years ago
Which is equivalent to a 270° clockwise
likoan [24]
A. a 90 degree counterclockwise rotation about the origin
4 0
3 years ago
Can someone help me with this? Please this would mean so much.
Paha777 [63]

Answers:

x = angle MLN = 35 degrees

angle FLJ = 55 degrees

=================================================

Explanation:

This problem is fairly tricky if you're not sure what to look for. A slight clue is that they've marked a red point that strangely doesn't have a label on it. It's a fairly small point but it's definitely there if you look closely. While this point's location isn't exactly what we want, we're fairly close. Start at point L and draw a ray through the center point P. Ray LP will intersect the circle at point A, as shown in the diagram below.

From here, draw segments FA and MA. Now notice that inscribed angle LMF = 55 and inscribed angle FAL both subtend the same arc. The term "subtend" basically means "cut off". This arc that the inscribed angles subtend is minor arc FL. A minor arc is where you travel the shorter path around the circle, which indicates its measure is less than 180 degrees.

Since inscribed angles LMF and FAL subtend the same minor arc, this makes the inscribed angles to be congruent.

In short: angle FAL is 55 degrees

----------------------

Segment LA goes through the center P. Through Thales theorem, we know that inscribed angle LFA is 90 degrees. Consequently, we can determine that inscribed angle FLA is 90-55 = 35 degrees.

Segment JL is tangent to the circle, meaning that angle ALJ is 90 degrees. So angle FLJ is 90-35 = 55 degrees.

It's not a coincidence that angle FLJ, angle FAL, and angle LMF are the same measure.

----------------------

We found that angle FAL was 55 degrees. Applying Thales theorem again shows that angle MAF is 90 degrees. Therefore, angle LAM is 90-55 = 35 degrees.

Focus now on triangle LMA. This is also a right triangle (Thales Theorem). The upper acute angle we found was angle LAM = 35, so the lower acute angle is ALM = 55.

Then we can find angle MLN = (angle ALN) - (angle ALM) = 90 - 55 = 35

In short, angle MLN = 35 degrees

Similar to the previous section, it is not a coincidence that angles LFM, LAM and MLN are the same measure.

------------------------

As an alternative, since we know angle FLJ = 55, and angle FLM is 90 degrees, this means...

(angle FLJ)+(angle FLM) + (angle MLN) = 180

55 + 90 + angle MLN = 180

145 + angle MLN = 180

angle MLN = 180 - 145

angle MLN = 35 degrees

7 0
2 years ago
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