Answer:
The slope would be 1/4.
Step-by-step explanation:
To find the perpendicular slope first you have to set this equation to y
to do this you use the subtraction prop of equality and you will get 12x-9= -3y
then you divide by -3 on both sides to get y by itself
you will get -4x+3=y
now that you know the slope is -4, you must find the negative reciprocal slope of this which means you have to flip the numerator and denominator and make the sign its opposite.
The perpendicular slope would then be 1/4.
The probability of drawing a blue card is equal to the quotient when the number of blue cards is divided by the total number of cards. This is, 16/38 which is also equal to 8/19. Thus, the probability of drawing a yellow card is 8/19. The answer is letter C.
Answer:
Step-by-step explanation:
f(x)=-log(5-x)+9
Domain :5-x≥0
5≥x
or x≤5
or (-∞,5]
Range :R
or (-∞,∞)
Answer:
1) 3 units
2)4 units
3) 5 units
4)10 units
Step-by-step explanation:
We can use the Distance Formula to find the distance between the two points given to us. The Distance Formula is for points (x1 , y1) & (x2 , y2) is
★ Distance = √[ (x2 - x1)² + (y2 - y1)²]
<u>1) (0,0) & (0,3)</u>
⇒ Distance = √ [ (3-0)²+(0-0)² ]
⇒ Distance = √ [ 3² ]
⇒ Distance = 3 units .
====================================
<u>2</u><u>) (0,0) & (</u><u>4</u><u>,</u><u>0</u><u>)</u>
⇒ Distance = √ [ (4-0)²+(0-0)² ]
⇒ Distance = √ [ 4² ]
⇒ Distance = 4 units .
====================================
<u>3) (0,0) & (4,3)</u>
⇒ Distance = √ [ (3-0)²+(4-0)² ]
⇒ Distance = √ [ 3²+ 4² ]
⇒ Distance = √ 9 + 16
⇒ Distance = √25
⇒ Distance = 5 units .
====================================
<u>4</u><u>) (0,0) & (</u><u>8</u><u>,</u><u>6</u><u>)</u>
⇒ Distance = √ [ (8-0)²+(6-0)² ]
⇒ Distance = √ [ 8²+ 6² ]
⇒ Distance = √ 64 + 36
⇒ Distance = √100
⇒ Distance = 10 units .
Subtract 4 from both sides of the equation. It looks familiar now right? (y=mx+b is a linear equation)
