Answer:
Drawing the first marble would be 4/17 then putting that one aside and picking another green marble would be 3/17
Step-by-step explanation:
Step-by-step explanation:
Remember to follow PEMDAS. PEMDAS = Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction.
Note the equation:
y = (1/4)x + 1
Plug in a number to x, & solve to get the answer for the variable (y).
In this question, they give you 3 numbers to plug into x: 4, 8, 12. Plug them in:
<u>When x = 4</u>
y = (1/4)(4) + 1
Solve. Simplify. Remember to follow PEMDAS. First, multiply 1/4 with 4:
y = (1/4)(4) + 1
y = (1 * 4)/4 + 1
y = 4/4 + 1
y = 1 + 1
Simplify. Combine the terms:
y = 1 + 1
y = 2
when x = 4, y = 2.
<u>When x = 8</u>
y = (1/4)(8) + 1
Solve. Simplify. Remember to follow PEMDAS. First, multiply 1/4 with 8:
y = (1/4)(8) + 1
y = (1 * 8)/4 + 1
y = 8/4 + 1
y = 2 + 1
y = 3
when x = 8, y = 3.
<u>When x = 12</u>
y = (1/4)(12) + 1
Solve. Simplify. Remember to follow PEMDAS. First, multiply 1/4 with 12:
y = (1/4)(12) + 1
y = (1 * 12)/4 + 1
y = 12/4 + 1
y = 3 + 1
y = 4
when x = 12, y = 4.
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Answer:
12 feet
Step-by-step explanation:
As a ladder is leaning against a house, it forms right angle triangle. And for right angleΔ, we use Pythagoras theorem.i.e
P²+B²= H²
Where,
'P' is perpendicular i.e the distance from the top of the ladder to the ground
'B' is base i.e be the distance from the bottom of the ladder to the house
'H' is hypotenuse i.e 13
considering 'x' as perpendicular
So, base would be 'x-7'
Applying Pythagoras theorem,
x² + (x-7)²= 13²
x² +x² -14x +49 =169
2x² -14x -120= 0
x² -7x -60=0 ----> solving the quadratic equation
x² + 5x -12x-60=0
x(x+5) -12(x+5)=0
Either : x+5=0 => x=-5
OR: x-12=0 => x=12
We'll choose the positive length.
therefore , The distance from the bottom of the ladder to the house is 12 feet
Answer:
-9
Step-by-step explanation:
1−15−(−5)
−14−(−5)
−9
Its true because integers are negative and positive numbers including zero, and a whole number is a positive counting number including zero