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grigory [225]
3 years ago
13

Can't 1028 be simplified

Mathematics
1 answer:
nirvana33 [79]3 years ago
7 0
Yes 1028 can be simplified
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Write the equation of a line perpendicular to 2x + 3y = 4 and passing through (-3,-5).
Tasya [4]

Answer:

Step-by-step explanation:

A line perpendicular to the given line has a slope that is the negative inverse of the reference line.  

Rewrite the given equation in the format of y=mx+b, where mi is the slope and b is the y-intercept (the value of y when x = 0.

2x + 3y = 4

3y=-2x+4

y = -(2/3)X + (4/3)

The reference slope is -(2/3).  The negative inverse is (3/2), which will be the slope of a perpendicular line.  We can write the new line as:

y = (3/2)x + b

Any value of b will still result in a line that is perpendicular.  But we want a value of b that will shift the line so that it intersects the point (-3,-5).  Simply enter this point in the above equation and solve for b.

y = (3/2)x + b

-5 = (3/2)(-3) + b

-5 = -(9/2) + b

-5 = -4.5 + b

b = - 0.5

The equation of the line that is perpendicular to 2x + 3y = 4 and includes point (-3,-5) is

y = (3/2)x - 0.5

6 0
1 year ago
8. You are planning to use a ceramic tile design in your new bathroom. The tiles are blue-and-white equilateral triangles. You d
ira [324]

Step 1

Find the area of one equilateral triangle

Applying the law of sines

Area=\frac{1}{2} *a*b*sin C

in this problem

a=b=7 cm

C=60 degrees

so

Area=\frac{1}{2} *7*7*sin 60

Area=\frac{1}{2} *49*\frac{\sqrt{3}}{2}  \\ Area=49*\frac{\sqrt{3}}{4}cm²

Step 2

To calculate the area of the hexagon multiply the area of one equilateral triangle by 6

Area Hexagon=6*[49*\frac{\sqrt{3}}{4}]  \\ Area Hexagon=73.5*\sqrt{3}cm²

therefore

the answer is the option

73.5 sqrt 3cm²

3 0
3 years ago
Read 2 more answers
Which set of ordered pairs does not represent a function?
weqwewe [10]

Answer:

{(0,0),(0,1),(1,2),(1,3)}

Step-by-step explanation:

If this was a function it would be (0,0) ,(1,1), (2,2) ,(3,3) and so on

4 0
3 years ago
A water-tank has a base with dimensions 2 feet by 6 feet. If a cube with each side 1
Nadya [2.5K]
The increase of volume = volume of the cube = 1 cubic foot  =  1728 cu ins
Area of the base =  12 sq ft  = 12 * 144 =    1728  sq ins
The height of increase  =  1728 /  1728  = 1 inch Answer
7 0
3 years ago
Select all the equations that are true when “x” is (-2).
mina [271]

Answer:

The first one, the third one, and the fourth one.

Step-by-step explanation:

i just put the ones that are correct. If you want me to write out why the incorrect ones are incorrect, let me know.

1.

-6=3x

-6= 3(-2)

-6= -6

3. -8= x+x+x+x

-8= -2+-2+-2+-2

-8= -8

4. x/2= (-1)

-2/2 =(-1)

-1= -1

6 0
3 years ago
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