The slope is 2/3, and the y-intercept is 4. In slope intercept form, the equation is y=2/3x+4
<h2>○=> <u>Correct options</u> :</h2><h2>□

</h2><h2>□

</h2><h3><u>Steps to derive the correct options</u> :</h3>
Since two sides and one included angle is equal in △PQS and △PRS, we can conclude that they are congruent under the SAS congruence criterion.
Which means :
▪︎Angle S = Angle S
▪︎PS = PS
▪︎QS = RS
Given :
Measure of segment QS = 6n+3
Measure of segment RS = 4n+11
Thus :







Thus, the value of n = 4
Measure of segment QS :




Thus, measure of QS = 27
Measure of RS :




Measure of QR :


Thus :
▪︎QS = 27
▪︎RS = 27
▪︎QR = 54
Therefore, the correct options are :
▪︎(C) SR = 27
▪︎(D) QR = 54
Answer:
Base = 1.5 ft
Step-by-step explanation:
Area = ½ × base × height
9/16 = ½ × base × 3/4
9/16 = 3/8 × base
base = 9/16 × 8/3
base = 3/2
base = 1½ ft
The equation that has the solution
is 3x^2 - 10x + 6 = 0
<h3>How to determine the equation?</h3>
The solution is given as:

The solution to a quadratic equation is

By comparing both equations, we have:
-b = 5
b^2 - 4ac = 7
2a = 3
Solve for b in -b = 5
b = -5
Solve for a in 2a = 3
a = 1.5
Substitute values for a and b in b^2 - 4ac = 7
(-5)^2 - 4 * 1.5c = 7
Evaluate
25 - 6c = 7
Subtract 25 from both sides
-6c = -18
Divide by - 6
c = 3
So, we have:
a = 1.5
b = -5
c = 3
A quadratic equation is represented as:
ax^2 + bx + c = 0
So, we have:
1.5x^2 - 5x +3 = 0
Multiply through by 2
3x^2 - 10x + 6 = 0
Hence, the equation that has the solution
is 3x^2 - 10x + 6 = 0
Read more about quadratic equation at:
brainly.com/question/1214333
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