MATHEMATICS HIGH SCHOOL

6. What are the solutions to(x + 3)2 = 49

x= -2 and x = -16
x = 2 and x = V-10
x = 4 and x = -10
x = 40 and x = -58
6. What are the solutions to (x + 3)2 = - 1

Answers

Answer 1
Answer:

Answer:

The answer is x=4 or x=−10

Solutions:

(x + 3)² = 49

(x+3)(x+3)=49

x²+6x+9=49

x²+6x+9-49=0

(x-4)(x+10)

x-4=0 x+10=0

x=4 x=-10

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Whats 6x + 7 = 8x - 15
Fill in the blanks to the picture above

Convert 879/112 to whole or mixed number

Answers

\sf{ (879)/(112) =?}

\sf{ 112 * 7 = 784}

\sf{ 879 -784= 95}

\sf{ (879)/(112) = (784+95)/(112) = (784)/(112) + (95)/(112) = 7 + (95)/(112) = 7 (95)/(112)}

\sf(879)/(112) = \boxed{7 (95)/(112)}
I don't know what you mean by "or" but I will do either one of them


879/112 to mixed number =

879 ÷ 112

= 7 R95

= 7 95/112


The denominator remains the same, the numerator is the remainder. While 7 is the whole number! :D

Help with this geometry?

Answers

Answer:

angle 5 is equal to angle 1

What is defined as the replacement of one skewed vector by two perpendicular vectors that when acting jointly have the same net effect as the original vector?

Answers

Answer: Vector Resolution

Step-by-step explanation:

Vector components can form right triangle, since one acts vertically and the other acts horizontally. Thus, the original vector forms the hypotenuse of the right triangle formed by its components.

The process of breaking a vector down into its components is called vector resolution.

Refer to the triangle below. If a = 3 and b = 6
a. Find the exact length of c in un-simplified radical form
b. Find the exact length of c in simplified radical form
c. Find c to the nearest hundredth.

Answers

By the Pythagorean theorem:

с = √(3² + 6²) 
   = √(9 + 36)
   = √45     ← un-simplified radical form
   = 3√5     ← simplified radical form 
   ≈ 6.71    ← to the nearest hundredth

Simplify 5x + 3y - 2x + 4y

Answers

5x+3y-2x+4y= 5x-2x+4y+3y= 3x+7y
5x - 2x = 3x
3y + 4y = 7y
Answer: 3x + 7y

in 2004, 510,000 acres of farmland in region were devoted to growing nuts. by 2011, the number of acres used to grow nuts had increased to 830,000. find the avarage rate of change in the number of acres in a region used to grow nuts from 2004 to 2011

Answers

Consider the (x, y) coordinates to be:  (2004, 510000) and (2011, 830000).

Average rate of change is another name for slope, So, use the slope formula: m = (y2 - y1)/(x2 - x1)

m = (830,000 - 510,000)/(2011 - 2004)

m = (320,000)/(7)

Answer: 320,000 acres every 7 years

Answer: 45714 per year.

Step-by-step explanation:

Given : In 2004, 510,000 acres of farmland in region were devoted to growing nuts. by 2011, the number of acres used to grow nuts had increased to 830,000.

Change in acres of farmland from 2004 to 2011 = 830000-510000=320,000

Change in year = 2011-2004=7

The average rate of change is given by :-

\frac{\text{Change in acres of farmland}}{\text{Change in year}}\n\n=(320000)/(7)=45714.2857143\approx45714 \text{[Rounded to the nearest integer.]}

Hence, the average rate of change in the number of acres in a region used to grow nuts from 2004 to 2011 is 45714 per year.
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