Answer:
1. 125
2. 25
3. 40
4. 39
First question:
(15-10)^2 + (15-5)^2
parentheses first to get 5^2 + (15-5)^2
exponents next to get 25 + (15-5)^2
parentheses again 25 + 10^2
exponents again 25 + 100 = 125
Second question:
simplify the exponents (3 *3) + (4 * 4) + (2 * 2) to get 9 + 16 + 4 = 29
Third question:
simplify in the parentheses 6 1/7 - 1/7 = 6
divide 60 by 6 to get 10
multiply 10 by 4 to get 40!
Fourth question:
simplify the fractions to get 1/3 + 8/3 = 3
multiply the 3 by 13 to get 39
<u>SOLUTION:</u>
General Equation: y = mx + b
.
Substitute slope = -2 into the equation:
y = -2x + b
.
Find the y-intercept:
4 = -2(-3) + b
4 = 6 + b
b = -2
.
Substitute b = -2 into the equation:
y = -2x - 2
.
Answer: y = -2x - 2
Is the question how much it cost per kg?
If so, divide $13 by 1 3/7 kg.
13/(1 3/7) = 13/(10/7) = 13 * 7/10 = 91/10 = 9 1/10
Answer is 9 1/10 dollars per kg.
(Assuming I guessed your question correctly.)
Answer:
x=20[vertically opposite angle are equal]
Let the length be x and the width be y.
<u>The perimeter is 18 in.</u>
2 ( x + y ) = 18
x + y = 9
x = 9 - y ----------------------- (1)
<u>The area is 18 in²</u>
xy = 18
x = 18/y . ----------------------- (2)
<u>Sub (1) into (2):</u>
9 - y = 18/y
<u>Multiply by y on both sides:</u>
9y - y² = 18
y² - 9y + 18 = 0
(y - 3)(y - 6) = 0
y = 3 or y = 6
<u>When y = 6</u>
x = 9 - y = 9 - 6 = 3
<u>Find the Length and Width:</u>
Length = x = 6
Width = y = 3
Answer: The length is 6 inches and the width is 3 inches.
