Answer:
<h2>204 units²</h2>
Step-by-step explanation:
It's a rectangle. Therefore the opposite sides are congruent.
We have the equation:
2x + 4 = 12 <em>subtract 4 from both sides</em>
2x = 8 <em>divide both sides by 2</em>
x = 4
Put the value of x to the expression 4x + 1:
4(4) + 1 = 16 + 1 = 17
Therefore we have the rectangle with dimesions 17 × 12.
The area of the rectangle:
A = (17)(12) = 204
Answer:
-10y + 18 = -3 (5y - 7) + 5y
-10y + 18 = -18y + 21 + 5y
-10y + 18 = -13y + 21
Step-by-step explanation:
-10y + 18 = -3 (5y - 7) + 5y
-10y + 18 = -18y + 21 + 5y
-10y + 18 = -13y + 21
Answer:
The probability is 0.04746
Step-by-step explanation:
Firstly, we calculate the z-score here
Mathematically;
z-score = x-mean/SD/√n
Where from the question;
x = 85, mean = 90 , SD = 15 and n = 25
Plugging these values into the equation, we have;
Z = (85-90)/15/√25 = -5/15/5 = -1.67
So the probability we want to calculate is ;
P(z > -1.67)
We use the standard normal distribution table for this;
P(z > -1.67) = 0.04746
Answer:
the slope is 4/3
Step-by-step explanation:
slope is also called rise over run you start at one point and count how many spaces it is up to the next point then across
Answer:
The distance of the point from the origin = 9.29 units.
Step-by-step explanation:
Given point:
(7,-6)
The angle lies such that the terminal side of the angle contains the given point.
To draw the angle and find the distance from the origin to the given point.
Solution:
The terminal side of the angle is where the angle ends with the initial side being the positive side of the x-axis.
So, we can plot the point (7,-6) by moving 7 units on the x-axis horizontally and -6 units on the y-axis vertically.
We can find the distance of the point from the origin by find the hypotenuse of the triangle formed.
Applying Pythagorean theorem.
Taking square root both sides :
Thus, the distance of the point from the origin = 9.29 units.
The figure is shown below.
