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Lubov Fominskaja [6]
3 years ago
5

Find all positive integer values of c that make x^2+6x+c factorable

Mathematics
1 answer:
densk [106]3 years ago
6 0
It's factorable when c  ∈ {5,8,9}
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Which are true if figure DEFG is reflected across the x-axis? Check all that apply.
meriva

Answer: The correct options are 1,2 and 3.

Explanation:

If a figure reflected across the x-axis then the x-coordinate remains same but the sign of y-coordinate changes.

According to the reflection rule across the x-axis,

(x,y)\rightarrow(x,-y)

From the given figure it is noticed that the coordinate of point D(0,4) and E(-2,0).

After reflection,

D(0,4)\rightarrow D'(0,-4)

E(-2,0)\rightarrow E'(-2,0)

Therefore the option 1 and 2 are correct.

From the given figure it is noticed the distance of point G from the x-axis is 2, therefore the distance from the G' to x-axis is also 2, because the distance of preimage and image are equal from the line of reflection.

Therefore, the option 3 is correct.

From the given figure it is noticed the distance of point D from the x-axis is 4, therefore the distance from the D' to x-axis is also 4.

Therefore, the option 4 is incorrect.

From the below figure it is clearly noticed that the orientation will not be preserved. Because the sides are not equal, so the reflection will change the orientation.

7 0
3 years ago
Read 2 more answers
Instructions: Use the image and your knowledge of the<br> isosceles triangle to find the value of 2.
xz_007 [3.2K]

Answer:

x = 36˚

Step-by-step explanation:

  • The 2 base angles in an isosceles triangle are equal
  • Angles in a triangle sum to 180˚
  • x+72+72=180
  • x+144=180
  • x=180-144=36
6 0
1 year ago
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Cylinders Q and P are both right circular cylinders. The height of cylinder Q is 3 times the height of cylinder P, and the radiu
Helen [10]

Answer: The volume of cylinder Q is 12 times the volume of Cylinder P.

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

If cylinder Q has radius, r and height, h,

Then

Volume of cylinder Q = πr²h

For cylinder P,

Height = 3h

Radius = 2r

Volume of cylinder P = π(2r)² × 3h

= 4πr²× 3h = 12πr²h

Therefore, the ratio of the volume of cylinder P to the volume of cylinder Q is

12πr²h/πr²h = 12

5 0
2 years ago
Julio's goal is to type an average of 50 words per minute on his five typing exams. His scores on the first four exams were 46,4
Svetllana [295]
Answer is 56 because on his 3rd exam he got 57 word per minute, since he got 57 he can take out 7 of those words and he would still have 50. Remember the extra 7 words we have. Then you would calculate how many more words he needs to get to fifty on his other exams which are 4,6,and 3. Add these 3 and you get 13. Remember we still have that extra 7. We pick 56 with the extra 7 it would be 63. You can take out 13 words to fill in the other exams and u would still be left with 50.
Therefor your answer is 56.
6 0
3 years ago
Help please i attached a form below
iVinArrow [24]

Answer:

69 pounds

Step-by-step explanation:

5 x 42 = 210 - 20 = 190       Bobbi

3 x 42 = 126 - 5 = 121           Amira

190 - 121 = 69

3 0
3 years ago
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