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shutvik [7]
2 years ago
5

Factorise and evaluate 50 × 11 + 50 × 9

Mathematics
1 answer:
seropon [69]2 years ago
5 0

Answer:

1000

Step-by-step explanation:

50 × 11 + 50 × 9 ← factor out 50 from each term

= 50(11 + 9)

= 50(20)

= 1000

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3 years ago
The base of a solid SSS is the region bounded by the ellipse 4x^2+9y^2=364x 2 +9y 2 =364, x, squared, plus, 9, y, squared, equal
mamaluj [8]

Answer:

4π

Step-by-step explanation:

4x² + 9y² = 36

Divide all  through by 9

4/9x² + ²y² = 44

\int\limits^3_0 {\pi y^{2} } \, dx

\int\limits^3_0 {4-\frac{4}{9} }x^{2}  \, dx

4 0
3 years ago
the sides of a rectangle are the ratio 2:5. (for every 2cm of the width, the length is 5cm) the perimeter of the rectangle is 70
viva [34]
------------------------------------------------------------------------------------
Ratio
------------------------------------------------------------------------------------
Width : Length
    2    :   5 

Let x be the scale factor

Width : Length
    2x    :   5x

------------------------------------------------------------------------------------
Form equation and solve x
------------------------------------------------------------------------------------
Perimeter = 2(Length + Width)
70 = 2(5x + 2x)
70 = 2(7x)
70 = 14x
14x = 70
x = 5

------------------------------------------------------------------------------------
Find Length and Width
------------------------------------------------------------------------------------
Length = 5x 
Length = 5(5) 
Length = 25

Width = 2x
Width = 2(5)
Width = 10

------------------------------------------------------------------------------------
Answer: Length = 25 cm, Width = 10 cm
------------------------------------------------------------------------------------
4 0
3 years ago
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Oksana_A [137]
Log of 2x cube - log x = log 16 +log x

Use the identities!

Log 2x square = log 16x
2x square = 16 x
2x sqr - 16x = 0
2x(x-8) = 0
X = 0 or 8
According to logarithms x can’t be 0 so it’s 8
5 0
3 years ago
<img src="https://tex.z-dn.net/?f=4%28a%20%2B%202%20%29%20-%202%20%28a%20-%203%29" id="TexFormula1" title="4(a + 2 ) - 2 (a - 3)
satela [25.4K]

Answer:

\large\boxed{2a+14}

Step-by-step explanation:

4(a + 2 ) - 2 (a - 3)\qquad\text{use distributive property:}\ a(b+c)=ab+ac\\\\=4a+8-2a-(-6)\qquad\text{combine like terms}\\\\=(4a-2a)+(8+6)\\\\=2a+14

5 0
3 years ago
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