Answer:
(a) draw the graph using these coordinates :
(0,-1) and (3,1)
(b) x = 3
Answer:
1 1/2 miles
Step-by-step explanation:
3 3/4 - 2 1/4..
3/4 - 1/4 = 2/4=1/2
3-2= 1
1+1/2=1 1/2 miles
Answer:
<em>x = 9</em>
<em>y = 36</em>
Step-by-step explanation:
<u>Lines and Angles</u>
Triangle CDE is isosceles. This means the two angles of the base DE are congruent (have the same measure):
7x + 1 = 4x + 28
Subtracting 4x + 1:
3x = 27
Dividing by 3:
x = 9
Substituting in the expression for the angles:
7x + 1 = 7*9 + 1 = 64°
The angles are 64° and 64°. The other internal angle at vertex C is 180°-64°-64°=52°. This angle is congruent with its vertical angle in the triangle ABC. We are given another angle of 43°. Thus the measure of angle A is 180°-52°-43°=85°
This last angle is equal to the expression of y:
-2(3 - y) + 19 = 85
Subtracting 19:
-2(3 - y) = 66
Removing the parentheses:
-6 + 2y = 66
Adding 6:
2y = 72
Dividing by 2:
y = 36
Final answer:
x = 9
y = 36
9514 1404 393
Answer:
-8, +9
Step-by-step explanation:
You need factors of (6)(-12) = -72 that have a sum of +1.
From your knowledge of multiplication tables, you know that 72 = 8·9. Then -72 = (-8)(9), and those two factors have a sum of +1.
6x^2 +x -12
= 6x^2 +9x -8x -12
= 3x(2x +3) -4(2x +3)
= (3x -4)(2x +3)
Answer:
Step-by-step explanation:
