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Kisachek [45]
3 years ago
8

Still pretty confused on this.

Mathematics
1 answer:
aleksandrvk [35]3 years ago
7 0
\displaystyle \sum_{i=3}^7(3i-1)=3\cdot3-1+3\cdot4-1+3\cdot5-1+\\\\ +3\cdot6-1+3\cdot7-1=8+11+14+17+20=70
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8+3n for n=6 help me please
MA_775_DIABLO [31]

Answer:

26

Step-by-step explanation:

8 + 3n

n = 6

8+3(6)

= 8 + 16

= 26

6 0
3 years ago
On a coordinate plane, parallelogram R S T U has points (negative 4, 4), (2, 6), (6, 2), and (0, 0). What is the area of paralle
Ad libitum [116K]

Answer:

The area of the parallelogram is;

32 square units

Step-by-step explanation:

The given parameters are;

The coordinates of the parallelogram RSTU = R(-4, 4), S(2, 6), T(6, 2), and U(0, 0)

We note that the area of a parallelogram = Base length × Height

From the drawing of the parallelogram RSTU, we have;

The base length = The length of \overline {TU} = The length of \overline {SR} = √((2 - (-4))² + (6 - 4)²) = 2·√10

The height of a parallelogram is perpendicular to its base length = The line \overline {VT}

∴ Where, the slope of the base length = m, the slope of the height = -1/m

The slope, 'm' of \overline {SR} = (6 - 4)/(2 - (-4)) = 1/3

Therefore, the slope of the height = -1/(1/3) = -3

We note that a point on the height is the point 'T', therefore, the equation of the line in point and slope form is therefore;

y - 0 = -3·(x - 0)

∴ y = -3·x

Therefore, the coordinates of the point 'V' is given by the simultaneous solution of the equations of \overline {SR} and \overline {VT}

The equation of the line \overline {SR} in point and slope form from the point 'R' and the slope 'm = 1/3' is given as follows;

y - 4 = (1/3) × (x - (-4)) = (1/3) × (x + 4)

y = x/3 + 4/3 + 4 = x/3 + 16/3

y = x/3 + 16/3

We then have the coordinate at the point 'V' (x, y) is given as follows;

-3·x = x/3 + 16/3

-9·x = x + 16

-10·x = 16

x = -16/10 = -1.6

x = -1.6

∴ y = -3·x = -3 × -1.6 = -4.8

y = 4.8

The coordinate at the point, V = (-1.6, 4.8)

The length of the line \overline {VT} = The height of the parallelogram = √((-1.6 - 0)² + (4.8 - 0)²) = 8/5·√10

The height of the parallelogram = 8/5·√10

The area of the parallelogram, A = Base length × Height

∴ A = 2·√(10) × 8/5·√(10) = (16/5) × 10 = 32

The area of the parallelogram, A =  32 square units.

6 0
3 years ago
Read 2 more answers
How do you write 7.67 x 102 in standard form?
Grace [21]
782.34 is your answer.
5 0
3 years ago
WILL MARK BRAINLIEST PLEASE HELP!!!!!!!!!!!!!!!!!
Alja [10]

Answer:

i cant draw on dis thing sorry but draw a square with circles on two parallel lines? they take up 1 thumb of space

Step-by-step explanation:

3 0
2 years ago
Help!!! Find the surface area of the cube shown below
ivanzaharov [21]

Answer:

The answer to your question is 8/3 u²

Step-by-step explanation:

Data

length of the side = 2/3

Surface area = ?

Process

1.- Calculate the area of one face

Area = side x side

-Substitution

Area = 2/3 x 2/3

-Result

Area = 4/9

2.- Calculate the area of the cube (a cube has 6 faces)

Surface area = 4/9 x 6

                     = 24/9

-Simplification

Surface area = 8/3 u²

3 0
3 years ago
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