MATHEMATICS HIGH SCHOOL

Factor the expression 28x + 49

Answers

Answer 1

Answer:

Answer:

7(4x+7)

Step-by-step explanation:

28x+49

Rewriting

4*7*x + 7*7

Factor out a 7

7(4x+7)

Answer 2

Answer:

Answer:

7(4x+7)

Step-by-step explanation:

Just divide both numbers by the common factor,7.

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17The admission fee of a museum is $12.50 for adults and $6.50 for children. Ona
certain day, 500 people went to the museum and S4450 was collected. How many
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Answers

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What is the value of the expression |x| + |y + z| when x = –6, y = –3, and z = –5?

Answers

|-6|+|-3+-5|

|-6|+|-3-5|

6+|-8|

6+8

= 14

I hope that's help !

Find the area of the triangle
1. C=110 degrees, a=6, b=10
2. B=130 degrees, a=92, c=30

Answers

$1.\ \ \ |\angle \ ACB|=110^0\n\n.\ \ \ \ \ a=|BC|=6\ [u]\ \ \ and\ \ \ b=|AC|=10\ [u]\n\nArea= (1)/(2) \cdot |AC|\cdot |BC|\cdot sin(|\angle \ ACB|)\n\nArea= (1)/(2) \cdot 6\cdot 10\cdot sin110^0=30\cdot sin (180^0-70^0)=\n\n.\ \ \ \ \ \ =30\cdot sin70^0\approx30\cdot 0.9397=28.191\ [u^2]\n\n$

$2.\ \ \ |\angle \ ABC|=130^0\n\n.\ \ \ \ \ a=|BC|=92\ [u]\ \ \ and\ \ \ c=|AB|=30\ [u]\n\nArea= (1)/(2) \cdot |AB|\cdot |BC|\cdot sin(|\angle \ ABC|)\n\nArea= (1)/(2) \cdot 30\cdot 92\cdot sin130^0=1380\cdot sin (180^0-50^0)=\n\n.\ \ \ \ \ \ =1380\cdot sin50^0\approx1380\cdot 0.7660=1057.08\ [u^2]\n\n$

For the function f(x)=x^2-12 find (f^-1)(4)

Answers

f(x) = x^2 - 12
y = x^2 - 12
y + 12 = x^2
x = sqrt(y + 12)
(f^-1)(x) = sqrt(x + 12)

(f^-1)(4) = sqrt(4 + 12) = sqrt(16) = 4
(f^-1)(4) = 4

A 7-foot tall stop sign creates a shadow that is 2 feet long. At the same time, a utility pole creates a shadow that is 9.6 feet long. How tall, in feet, is the utility pole?