Answer:
y = 3x/2 + 23 1/2
Or
y = 3x/2 + 47/2
Step-by-step explanation:
Find the slope
y = 3/2x - 3/2
Equation of a line
y = mx + c
m = 3/2
using a point slope form equation
Substitute the point into the equation
( -9 , 10)
y - y1 = m( x - x1)
x1 = -9
y1 = 10
y - 10 = 3/2( x - (-9)
y - 10 = 3/2( x + 9)
Open the bracket
y - 10 = (3x + 27)/2
y = ( 3x + 27)/2 + 10
LCM = 2
y = ( 3x + 27 + 20)/2
y = ( 3x + 47)/2
Separate to get the value of slope and intercept
y = 3x/2 + 47/2
y = 3x/2 + 23 1/2
The equation of the line is
y = 3x/2 + 23 1/2
Answer: x=9
Explanation: All 3 angles of a triangle add up to 180, so basically the equation is (3x-5)+(7x+5)+90=180.
Then you add your like terms, so 3x+ 7x=10x and -5+5=0, which cancels out. Now we have 10x+90=180, we subtract the 90 from 180 to see what 10x is equal to and we get 90. So 10x=90. We divide 10 from 90 and we get the value of X, which is 9.
Answer:
Step-by-step explanation:
Add the total number of students:
Boys: 8, + Girls: 12 = 20 students
of the students are girls
6/10 also equates to 60%, which is the percent of girls in the class.
<h2>
Answer:</h2>
Option: D is the correct answer.
D. (2,54)
<h2>
Step-by-step explanation:</h2>
We know that an outlier of a data set is the value that stands out of the rest of the data point i.e. either it is a too high value or a too low value as compared to other data points.
Here we are given a set of data points as:
(2,54)
(4,7)
(6, 9)
(8,12)
(10,15)
Hence, we see that the output values i.e. 7 in (4,7) ; 9 in (6,9) ; 12 in (8,12) and 15 in (10,15) are closely related.
Hence, the data point that is an outlier is:
(2,54)
(As 54 is a much high value as compared to other)
The answer is D: Trapezoid ABCD was reflected across the y-axis and then rotated 90° counterclockwise around the origin