Answer:
Y=6x-4
Step-by-step explanation:
Y=mx+b
in this cace we have m- the slope
Y=6x+b
now we can plug in the coordinates to solve for b- the y intercept
(1,2) 1 being the x value, and 2 being the y value
2= 1·6+b
2=6+b
-4=b
now we take our previous equation, and add to it
Y=6x-4
Answer:
will I write the answer in the copy and show you
Answer:
1) x = 12.2
3) x = 21.7
5) x = 17.9
7) x = 31.8
Step-by-step explanation:
Use Pythagorean Theorem (a^2 + b^2 = c^2 where a and b are bases and c is hypotenuse)
1) 10^2 + 7^2 = x^2
100 + 49 = x^2
149 = x^2
x = sqrt 149 which is about 12.2
3) 16^2 + x^2 = 27^2
256 + x^2 = 729
x^2 = 473
x = sqrt 473 which is about 21.7
5) 9^2 + x^2 = 20^2
(we know the other base is 9 because in an isosceles triangle, the altitude (the height) is the same as the median (which divides the base into half)
81 + x^2 = 400
x = sqrt 319 which is about 17.9
7) 16^2 + y^2 = 22^2 (y is the height of the triangle)
256 + y^2 = 484
x = sqrt 228
(sqrt 228)^2 + (44-16)^2 = x^2
228 + 784 = x^2
x^2 = sqrt 1012 which is about 31.8
A college admissions office uses the following equation to predict the grade point average of an incoming student:
z = 0.003x + 0.8y − 4,
where z is the predicted college GPA on a scale of 0 to 4.3, and x is the sum of the student’s SAT Math and SAT Verbal on a scale of 400 to 1600, and y is the student’s high school GPA on a scale of 0 to 4.3. The college admits students whose predicted GPA is at least 2.3.
Will a student with SATs of 1050 and high school GPA of 3.0 be admitted
Answer:
A. No because Z = 1.55 which is less than the required predicted college gpa of 2.3 for admission.
Step-by-step explanation:
Z = 0.003x + 0.8y - 4
X = sat score
Y = high school gpa
Z = predicted college gpa
X =1050
Y = 3.0
Z = .003 *(1050) + 0.8*(3.0) -4
Z = 1.55 which is less than the required predicted college gpa of 2.3 for admission