Problem 10:
Step One: Write the expression
When a problem says some number (in this case 17) more than a variable it almost always refers to addition. So we know that the expression's operation is addition. We are adding 17 to our variable, n. It should look like this:
n + 17
Step Two: Replace n with a Number
Pick your favorite number and replace n with that number. For simplicity's sake, I will choose the number 2. So n + 17 becomes:
17 + 2
Notice how n has been replaced with our number. Remember n could be any number, but I chose 2.
Step Three: Simplify the expression.
17 + 2 becomes 19
Problem 11:
Step One: Write the Expression
The first part of our expression is: g =
G represents the total cost of Paresh's day at the bowling alley, including all 5 games and shoe rental.
We know that to rent shoes, it cost Paresh 4 dollars. That becomes the second part of our expression. So now we have:
g = + 4
We also know that he played 5 games of bowling, but we don't know how much Paresh paid per game. So to represent the cost of each individual game, we will use the variable x. He played 5 games, so the third and final part of our expression is 5x. So our final result is:
g = 5x + 4
Step-by-step explanation:
I hope this helps you
Answer:
-2x^2 - 5x
= -2-4^2 - 5*-4
= -2(-4 * -4 ) - (-20)
= -2(-16) +20
= -32 + 20
= -12
Step-by-step explanation:
Answer:
15cm by 20cm by 25cm
Step-by-step explanation:
Let the sides of the right angle be x, y and h
x is the breadth
y is the height
h is the hypotenuse
Perimeter = x + y + h
x + y +h = 60
x+y = 60-h .... 1
If its area is equal to 150 square cm, then;
Area = 1/2 * base * height
Area = 1/2 *x * y
xy/2 = 150
xy = 300 ....2
According to pythagoras theorem;
x² + y² = h²
On expanding x² + y²
x² + y² = (x+y)² - 2xy
The equation becomes
(x+y)² - 2xy = h² ... 3
Substitute equation 1 and 2 into 3;
From 3;
(x+y)² - 2xy = h² ... 3
(60-h)² - 2(300) = h²
3600-120h + h² - 600 = h²
3600-120h - 600 = 0
-120h = 600-3600
-120h = -3000
h = 3000/120
h = 25cm
Recall that x+y+h = 60
x+y+25 = 60
x+y = 60 - 25
x+y = 35 ... 4
From equation 2;
xy = 300
x = 300/y ..... 5
Substitute 5 into 4;
300/y + y = 35
(300+y²)/y = 35
300+y² = 35y
y²-35y + 300 = 0
y²-20y-15y + 300 = 0
y(y-20)-15(y-20) = 0
y-20 = 0 and y - 15 =0
y = 20 and 15
since x+y = 35
x + 20 = 35
x = 35 - 20
x = 15
Hence the sides of the triangle are 15cm by 20cm by 25cm
Answer:
Use the two point formula: y-y¹/x-x¹ = y²-y¹/x²-x¹ to find the equation of a line through two given points.
