Answer:
.
Step-by-step explanation:
A line that goes through
and
where
would have a slope of
.
The slope of the line that goes through
and
would thus be:
.
Two lines in a cartesian plane are perpendicular to one another if and only if the product of their slopes is
.
Thus, if
and
denote the slope of the first and second lines in this question,
since the two lines are perpendicular to one another. Since
, the slope of the first line would be:
.
Given that the first line goes through the point
, the point-slope equation of that line would be:
.
.
Substitute in
to find the
-coordinate of the point in question:
.
1 meter is 3.3 ft.....so 70 meters is (70 * 3.3) = 231 ft.....so ft per second is 231 ft per second
at 2 seconds.....231 * 2 = 462 ft
Sum of infinite series of a GS is a1 / (1-r)
so here it is 65 / (1 - 1/6) = 65 / 5/6 = 65*6 / 5 = 78 answer
Joylin is writing an equation to model the proportional relationship between y, the total cost in dollars of downloading videos from a website, and x, the number of videos downloaded. She knows that the total cost to download 3 videos was $12. Her work to find the equation is shown below. Joylin’s Work Step 1 x=3/12=0.25 Step 2 y=0.25x Where did Joylin make her first error? Joylin divided 3 and 12 instead of multiplying the two numbers. Joylin computed the decimal equivalent of 3/12 incorrectly. Joylin used 0.25 as the coefficient of x instead of a product of x and y. Joylin switched the numerator and the denominator when she found k.
Solution:
Joylin switched the numerator and the denominator when she found k.
Joylin should divide 12/3 and not 3/12. As, y is total cost and x is number of videos.
For x=1, number of videos=1, y,or total cost=1*4=4,
For x=2,y=2*4=8
For x=3, y=3*4=12
So, the constant, k=4
So, Answer: Option (D)
Joylin switched the numerator and the denominator when she found k.
Answer:
x = 11
Step-by-step explanation:
7x + 3(3x + 6) = 194
<em>open the parenthesis</em>
7x + 3 * 3x + 3 * 6 = 194
7x + 9x + 18 = 194
<em>subtract 18 from both sides of the equation</em>
7x + 9x + 18 - 18 = 194 - 18
<em>combine like terms</em>
7x + 9x = 194 - 18
16x = 176
<em>divide both sides of the equation by 16</em>
16x/16 = 176/16
x = 176/16
x = 11