32 <span>combinations of socks and shoes does </span>
Answer:
Short-response question = 20.
Step-by-step explanation:
Let x be number of short response questions and y be the number of essay questions.
We have been given that there are 22 questions that are worth 100 points in total. Each short-response question is worth 4 points, and each essay question is worth 10 points. Using our given information we can form a system of equations as:
Now we will solve our system of equations using substitution method.
From equation 1 we will get,
Upon substituting
in equation 2 we will get,




Therefore, there are 20 short-response questions on the exam.
Answer:
Slope =y2−y1x2−x10−3105−12−31092−310⋅1092⋅10−345−115
Step-by-step explanation:
Slope =y2−y1x2−x10−3105−12−31092−310⋅1092⋅10−345−115
Answer:
43.5 unit^2.
Step-by-step explanation:
Area of the triangle
= 1/2 * base * height
= 1/2 * AB * AC.
AB = √ [(6-1)^2 + (6-8)^2] = √29
AC = √ [(8 - (-7))^2 + (1 - (-5)^2] = √261
So the area = 1/2 * √29 * √261
= 43.5
D is the correct answer to this question