Answer:
y = (1/3)x + 7
Step-by-step explanation:
The slope of a line perpendicular to the given line y = -3x - 2 would have to be the negative reciprocal of the slope of the given line:
or, in other words,
the negative reciprocal of -3. That would be +1/3.
Starting with the slope-intercept form of the equation of a straight line, we have:
y = mx + b.
We substitute the coordinates of the given point, (-9,4), and the slope +1/3:
4 = (1/3)(-9) + b.
This simplifies to
4 = -3 + b, from which it can be easily seen that b = 7.
The desired line is y = (1/3)x + 7.
Answer:
234 cm²
Step-by-step explanation:
Given expression to represent the surface area of the rectangular prism is
The given value of x is 3.
Now, finding value of expression by sustituting value of "x" as given.
Surface area of the rectangular prism =
Surface area of the rectangular prism=
∴ Surface area of the rectangular prism=
Surface area of the rectangular prism=
∴ Surface area of the rectangular prism= 234 cm²
Answer:
Total number of jumping Jacks by Linda in 7 days = 825
Step-by-step explanation:
Total number of days Linda jumped = 7 days
Now, for first 3 days, jumping jacks each day = 75
So, total jumping jacks in first 3 days = 75 x 3 = 225
Now, number of days left in the week = 7 days - 3 days = 4 days
Also, for next 4 days, jumping jacks each day = 2 x 75 = 150
So, total jumping jacks in last 4 days = 150 x 4 = 600
Hence, the Total number of jumping Jacks in 7 day
= Jumping Jacks in fist 3 days + Number of jumping jack in last 4 days
= 225 + 600
= 825
Hence, Total number of jumping Jacks by Linda in 7 days = 825
Answer:
154.7°
Step-by-step explanation:
Formula for calculating length of an arc = theta/360× 2πr
Where r is the radius
theta is the angle subtended by the arc
Given length of an arc = 27in
Radius of the circle = 10in
Substituting this values in the formula to get theta
27 = theta/360 × 2π(10)
27 = theta/360×20π
20π × theta = 360×27
62.832 × theta = 9720
theta = 9720/62.832
theta = 154.7°