Find the height of the cuboid when the l=12 b=4 h=? Surface area =352 cm cube

the point A(7,1) is reflected over the point (4,0) and its image is point B. What are the coordinates of point B?

umka2103 [35]

Answer: The coordinates of point be are (1,-1)

Step-by-step explanation:

The reflected point will be equidistant from the point over which it is reflected as the original point and in the same line as the original point and the reflected point.

Find the difference between the x and y values of the given points and add that value (distance) to the reflection point.

x-values: 4-7 = -3 y-values: 0-1 = -1

Add to reflection point x: 4-3 = 1 y: 0 -1 = -1

6 0

3 years ago

What is the equation of the line that goes through (2, 2) and is perpendicular to y = 5x + 3?

Marina CMI [18]

Y = 5x + 3.....the slope here is 5. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, we flip the original slope and change the sign. So we have slope 5 or 5/1.....flip it and it becomes 1/5....change the sign and it becomes - 1/5. So our perpendicular line will have a slope of -1/5.

y = mx + b
slope(m) = -1/5
(2,2)....x = 2 and y = 2
now we sub into the formula and find b, the y int
2 = -1/5(2) + b
2 = -2/5 + b
2 + 2/5 = b
10/5 + 2/5 = b
12/5 = b
so ur perpendicular equation is : y = -1/5x + 12/5 <==

5 0

3 years ago

If your bank charges an out-of-network service fee of $3.00, and you withdraw $20 from each of three out-of-network ATMs, how mu

kap26 [50]

It is $69 because if every time you withdraw money you get $3 and you took $20 out 3 times that 20x3 is 60 and then plus $3x3 is nine add it all together it is $69

4 0

3 years ago

Read 2 more answers

Which outcomes are in A or B ?

Mandarinka [93]

B...........................

7 0

3 years ago

Read 2 more answers

I need the answers and explanation to a b c and d

snow_lady [41]

Answer:

a) 4x -3y ≥ -24

b) 2x +3y ≥ -12

c) 4x -3y ≤ 12

d) 2x +3y ≤ 24

Step-by-step explanation:

All of the given points are on the axes, so it is useful to know the intercept form of the equation for a line is ...

x/a +y/b = 1 . . . . . . where a is the x-intercept and b is the y-intercept.

The boundary line for the first side is ...

x/-6 +y/8 = 1

4x -3y = -24 . . . . . . multiply by -24 to put in standard form

The graph shows the quadrilateral is to the right of this line, so its inequality is ...

4x -3y ≥ -24

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The boundary line for side 2 has equation ...

x/-6 +y/-4 = 1

2x +3y = -12 . . . . . multiply by -12

The quadrilateral is to the right of this line, as well, so its inequality is ...

2x +3y ≥ -12

__

We can see from the graph that the x-intercept of the boundary line for side 3 is x=3. The equation for that boundary line is ...

x/3 +y/-4 = 1

4x -3y = 12

The quadrilateral is to the left of this line, so its inequality is ...

4x -3y ≤ 12

__

Apparently, side 4 is intended to use points already given. We assume it passes through (6, 4) and (0, 8). This boundary is parallel to side 2, so will have the same equation, but with a different constant.

2x +3y = 2(0) +3(8) = 24

The quadrilateral is to the left of this line, so its inequality is ...

2x +3y ≤ 24

__

The second attachment shows a graph of the four inequalities with their shading.

_____

<em>Additional comment</em>

All of the inequalities are written in standard form, so the x-coefficient is positive for all of them. The direction of the inequality symbol can be chosen to select values of x that are greater than or less than those on the boundary line. If the shading is to be to the right, then larger x-values are required, and the inequality will have the form ax + by ≥ c (a > 0). If shading is to the left, then smaller x-values are required, and the inequality symbol points in the other direction.

The figure is a parallelogram, not a rectangle.

7 0

2 years ago

Find the height of the cuboid when the l=12 b=4 h=? Surface area =352 cm cube￼

Find the height of the cuboid when the l=12 b=4 h=? Surface area =352 cm cube