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3 years ago

Which of the following values for m proves that 2m + 2m is not equivalent to 4m2?

Mathematics

2 answers:

Mashutka [201]3 years ago

6 0

M=0 i am not sure it is right

max2010maxim [7]3 years ago

4 0

When m=0 ,

2m+2m=2(0)+2(0)= 0

$4m^{2}.=4(0^{2})=0$

When m=1 ,

2m+2m=2(1)+2(1)=2+2=4.

$4m^{2}. =4(1)^{2}.=4.$

When m=2

2m+2m=2(2)+2(2)=4+4=8.

$4m^{2}.=4(2)^{2}.=4(4)=16.$

Both expressions are not equivalent when m=2.

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A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 fe

Vanyuwa [196]

The distance from the top of the mirror to the ceiling once the mirror is hung on the wall is 21 inches

The dimension of the mirror is given as:

$Height = 24\ in$

$Width = 28\ in$

From the center of the mirror to the floor of the wall, the distance is:

$Distance =5\frac14\ ft$

So, the distance to the top of the mirror will be:

$Top = 5\frac 14\ ft + \frac 12 \times Height$

Substitute 24 for height

$Top = 5\frac 14\ ft+ \frac 12 \times 24\ in$

$Top = 5\frac 14\ ft+ 12 \ in$

Convert feet to inches

$Top = 5\frac 14\times 12\ in+ 12 \ in$

$Top = 63\ in+ 12 \ in$

$Top = 75 \ in$

The distance from the top of the mirror to the ceiling is the difference between the height of the wall and 75 inches.

So, we have:

$Distance = 8\ ft - 75\ in$

Convert feet to inches

$Distance = 8\times 12\ in - 75\ in$

$Distance = 96\ in - 75\ in$

$Distance = 21\ in$

Hence, the distance is 21 inches

Read more about lengths at:

brainly.com/question/10545161

3 0

2 years ago

1. The curve y = (x - 1)(x – 5) cuts the x-axis at A and B and the y-axis at C.

saveliy_v [14]

So the first two questions are asking for points of intercept. a is asking where the function crosses the x, in this case it is where y=0. So your x intercept is at x= 1,5. Then to find the y intercept it is where x=0, so just substitute 0 for x. Then you get your y intercept as y=5. Because your coefficient for the quadratic function is positive your function has a minimum since it opens upward. I’m not sure what is means by C coordinate, but your vertex is at (3,-4) and lime of symmetry is at x=3.

X intercepts: (1,0) and (5,0)
Y intercept: (0,5)

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2 years ago

Help ill give brainlest pls

Mamont248 [21]

Answer:

The answer is C. The translation of a line is a pair of parallel lines.

Step-by-step explanation:

A, B, and D are true. C is <em>not</em> true, and therefore the correct answer.

5 0

2 years ago

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Write the equation of the line that passes through the given point and has the given slope:

My name is Ann [436]

Answer:

y=-x-9

Step-by-step explanation:

y-y1=m(x-x1)

y-0=-1(x-(-9))

y=-1(x+9)

y=-x-9

8 0

3 years ago

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A parallelogram has sides of 18 and 26 ft, and an angle of 39° . Find the shorter diagonal

Fed [463]

Answer:

16.51

Step-by-step explanation:

In a parallelogram, the opposite angles are always equal in measure. So two of the angles in the parallelogram measure 39 degrees each.

The sum of angles of the parallelogram must be 360 degrees. Let the other two angles be x degree each. We can set up the following equation for the angles:

39 + 39 + x + x = 360

78 + 2x = 360

2x = 282

x = 141

This means, the other two angles measure 141 degree each. The shorter diagonal will be opposite to the shorter angle.

Hence, the diagonal opposite to the angle 39 degree will be the shorter one. A diagonal divides the parallelogram in two triangles. So we will have two sides and an included angle and we have to find the third side of the triangle which can be found using the law of cosines. Let the third side be c as shown in image below, using the law of cosines, we can write:

$c^{2} = a^{2}+ b^{2} -2ab cos(\gamma)\\\\c^{2}=18^{2}+26^{2}-2(18)(26)cos(39)\\\\ c^{2}=272.59\\\\ c=16.51$

Thus the shorter diagonal will be 16.51 feet in measure.

3 0

3 years ago