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lina2011 [118]
3 years ago
9

Simplify: 3x3 (4x4 + 3y)

Mathematics
1 answer:
luda_lava [24]3 years ago
5 0

Answer:

144+27y

Step-by-step explanation:

3x3(4x4+3y)

9(16+3y)

144+27y

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If a straight line y = mx + c passes through the intersecting point of 3x - y = 8 and x+ 2y = 5 which is perpendicular to the li
Sindrei [870]

Answer:

Point of intersection:

3x - y = 8 -  -  - (a) \\ x + 2y = 5 -  -  - (b)

2 × equation(b) + equation (a):

7x = 21 \\ x = 3 \\  \\ y = 3x - 8 \\ y = 1

Point of intersection = (3, 1)

Perpendicular line:

3x + 6y - 11 = 0 \\ 6y =  - 3x + 11 \\ y =  -  \frac{1}{2} x +  \frac{11}{6}

General equation of line:

y = mx + c \\ 1 = (2 \times 3) + c \\ c =  - 5

<u>Value</u><u> </u><u>of</u><u> </u><u>m</u><u>:</u>

<u>m \times m {}^{i}  =  - 1 \\ m \times  -  \frac{1}{2}  =  - 1 \\ m = 2</u>

8 0
3 years ago
If the sides of a triangle are produced in order prove that the sum ofexterior angles so formed is equal to four right angles
Rashid [163]

Step-by-step explanation:

Let a, b, c be the measures of the interior angles and x, y, z be the measures of the exterior angles of the triangle. Where x and adjacent to a, y is adjacent to b and z is adjacent to c.

By interior angle sum postulate of a triangle:

a + b + c = 180°... (1)

Therefore, by remote interior angle theorem:

x = b + c.... (2)

y = a + c..... (3)

z = a + b.... (4)

Adding equations (2), (3) & (4)

x + y + z = b + c + a + c + a + b

x + y + z = 2a + 2b + 2c

x + y + z = 2(a + b + c)... (5)

From equations (1) & (5)

x + y + z = 2 \times 180 \degree \\ x + y + z = 360 \degree \\  x + y + z = 4 \times  90\degree \\ x + y + z = 4 \: right \: angles

Thus, the sum of exterior angles so formed is equal to four right angles.

Proved.

7 0
3 years ago
Shelby loves to knit scarves. Normally, it takes her 15 minutes to knit 5 inches of a scarf. She plans to make a scarf that is 3
MariettaO [177]

Answer:

90 minutes

Step-by-step explanation:

let x=amount of time it would take for Shelby to knit the scarf

\frac{15}{5} =\frac{x}{30}

cross multiply

15*30=5x

450=5x

450/5=x

x=90

It would take Shelby 90 minutes to knit a scarf that is 30 inches long.

7 0
3 years ago
Write an equation using an exponent that would express the 100-year total rainfall. Explain how the digits have shifted position
tino4ka555 [31]
Number: 365
Exponent: 100

365 days in a year, and 100 days of rainfall. So 365 X itself 100 times.
8 0
3 years ago
Which statement could the expression 13 + x represent? Andrea has 13 eggs and bought 13 more. Victoria has 13 flowers. This is g
Sauron [17]

Kai is 13 blocks from home. Jack is a greater distance away.

In this statement, 13 would represent the distance Kai is from home.... x would equal how much further away Jack is.

Hope this helps!!! Have an amazing day!!!! :)

4 0
3 years ago
Read 2 more answers
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