8/21 is the answer to the question
Answer:
Already in standard form
Step-by-step explanation:
A quadratic equations standard form is ax^2 + bx + c. This equation is already in standard form.
ax^2 + bx + c
1/2 x^2 - 4x + 3
Answer:
G. ABD = 74
H. DBC = 206
I. XYW = 33.75
J. WYZ = 46.25
Step-by-step explanation:
For G and H: You have a straight line (ABC) with another line coming off of it, creating two angles (ABD and DBC). A straight line has an angle of 180 degrees. This means that the two angles from the straight line when combined will give you 180 degrees. Solve for x.
ABD + DBC = ABC
(1/2x + 20) + (2x - 10) = 180
1/2x + 20 + 2x - 10 = 180
5/2x + 10 = 180
5/2x = 170
x = 108
Now that you have x, you can solve for each angle.
ABD = 1/2x + 20
ABD = 1/2(108) + 20
ABD = 54 + 20
ABD = 74
DBC = 2x - 10
DBC = 2(108) - 10
DBC = 216 - 10
DBC = 206
For I and J: For these problems, you use the same concept as before. You have a right angle (XYZ) that has within it two other angles (XYW and WYZ). A right angle has 90 degrees. Combine the two unknown angles and set it equal to the right angle. Solve for x.
XYW + WYZ = XYZ
(1 1/4x - 10) + (3/4x + 20) = 90
1 1/4x - 10 + 3/4x + 20 = 90
2x + 20 = 90
2x = 70
x = 35
Plug x into the angle values and solve.
XYW = 1 1/4x - 10
XYW = 1 1/4(35) - 10
XYW = 43.75 - 10
XYW = 33.75
WYZ = 3/4x + 20
WYZ = 3/4(35) + 20
WYZ = 26.25 + 20
WYZ = 46.25
First you have to know how many inches are in a square cm and then the answer that you get for that first part you just multiply that by what you have but dont use a calcutor cause it wont give you the right answer because i had this before and i got it correct
Answer:
B) -4
Step-by-step explanation:
(5/2)x + y = 2
x + (2/3)y = 4
y = 2 - (5/2)x
x + (2/3)(2 - (5/2)x) = 4
x + 4/3 - (5/3)x = 4
(-2/3)x = 8/3
-2x = 8
x = -4
