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astra-53 [7]
3 years ago
5

Solve the equation -20=-4x-6x

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0
-20=-4x-6x
4x+6x=20
10x=20
x=20:10
x=2

proof:
-20=-4×2-6×2
-20=-8-12
(-8)+(-12)=-20

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A converging lens of focal length 5 cm is placed at a distance of 20
lesya [120]

The object should be placed 20/cm from the lens so as to form its real image on the screen

<h3>Mirror equation</h3>

The mirror equation is given according to the expression below;

1/f = 1/u + 1/v

where

f is the focal length

u is the object distance

v is the image distance

Given the following parameters

f = 5cm

v = 20cm

Required

object distance u

Substitute

1/5 = 1/u +1/20

1/u = 1/5-1/20
1/u = 3/20

u = 20/3 cm

Hence the object should be placed 20/cm from the lens so as to form its real image on the screen

Learn more on mirror equation here; brainly.com/question/27924393

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4 0
2 years ago
If the length of one side of an equilateral triangle measures 40 cm, what is the length of its altitude? State the letter of the
mamaluj [8]

Answer:

the length of its altitude is 34.64 cm

Step-by-step explanation:

Given;

length of a side of the equilateral triangle, L = 40 cm

All the sides of an equilateral triangle are equal

To get the altitude of the triangle, draw a perpendicular line from one of the vertices to intersect the opposite side.

Let the altitude = h

half of the opposite side intersected by the altitude = 20 cm

Apply Pythagoras theorem to determine the altitude 'h'

h² = 40²  -  20²

h² = 1200

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7 0
3 years ago
A basketball team averaged 105 points per game how many points did the team score in 6 games
Jobisdone [24]
6 * 105 = 630

the team scored approximately 630 points in 6 games.
8 0
3 years ago
A line passes through (0, –7) and has a slope of -2/3. What is the equation of the line in slope-intercept form
babunello [35]

Answer:

the required equation is y = ( -2/3 )x -7

Step-by-step explanation:

<u>Given</u><u> </u><u>:</u><u>-</u><u> </u>

<em> </em>

<em>the</em><em> line </em><em>passes </em><em>thr</em><em>ough</em><em> </em><em>the </em><em>point</em><em> ( </em><em>0</em><em> , -</em><em>7</em><em> </em><em>)</em>

<em>)and slope of the line is </em><em>(</em><em> </em><em>-</em><em>2</em><em>/</em><em>3</em><em> </em><em>)</em>

<em>• To form an equation when one point and it's slope is given , </em>

<em>• To form an equation when one point and it's slope is given , we use ;</em>

<em>• To form an equation when one point and it's slope is given , we use ;( y - y1 ) = m ( x - x1 )</em>

<em>• To form an equation when one point and it's slope is given , we use ;( y - y1 ) = m ( x - x1 )Where , x and y are variables</em>

<em>• To form an equation when one point and it's slope is given , we use ;( y - y1 ) = m ( x - x1 )Where , x and y are variablesand x1 and y1 are the points where the line meet ! </em>

<em>• To form an equation when one point and it's slope is given , we use ;( y - y1 ) = m ( x - x1 )Where , x and y are variablesand x1 and y1 are the points where the line meet ! and m is slope of the tangent !!</em>

<em>y1</em><em> </em><em>=</em><em> </em><em>-</em><em>7</em>

<em>x1</em><em> </em><em>=</em><em> </em><em>0</em>

<em>So, putting all the values in the equation we get ,</em>

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<em>3y =  - 21 - 2x \\  \\ y =   \frac{ - 2}{3} x -  \frac{21}{3  }  \\  \\ y =  \frac{ - 2}{3} x - 7</em>

<em>• Slope intercept form of the equation </em>

<em>• Slope intercept form of the equation y = mx + c </em>

<em>• Slope intercept form of the equation y = mx + c Where , m is slope of the line </em>

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<em>Hence , here m = </em><em>(</em><em>-</em><em>2</em><em>/</em><em>3</em><em> </em><em>)</em><em> and c = </em><em>-</em><em>7</em>

<em>So, the required equation is y = </em><em>(</em><em> </em><em>-</em><em>2</em><em>/</em><em>3</em><em> </em><em>)</em><em>x</em><em> </em><em>-</em><em>7</em>

5 0
3 years ago
A particular dress requires 4 1/4 yards of fabric for manufacturing. If the matching jacket requires 1/6 yards less fabric, how
ASHA 777 [7]

Answer:

4  5/12 + 4 1/4  

Step-by-step explanation:

4  1/4 - 1/6 - you have to turn the mixed # into improper fraction  -  17/4,

17/4 - 1/6 = 4 5/12

4 5/12 + 4 1/4  8 2/3

8 2/3 is the answer i hope this helps lol, :)

6 0
3 years ago
Read 2 more answers
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