Answer:
x=-6
×=1
Step-by-step explanation:
remove parentheses
connect like terms
change the signs
calculate the discriminant
simplify
Answer:
x374874593893
Step-by-step explanation:
eaddthemalltogethertogethtatjbifmwhumebry38578494029 aso add the m
Answer: (w² + 10)inches²
Step-by-step explanation:
Since the width of the rectangular blanket is given as w and the length of the blanket is 10inches greater than it's width, therefore the length will be:
= 10 + w.
Therefore,
length = 10 + w
width = w
Area = length × width
Area = (10 + w) × w
Area = 10w + w²
Therefore, the area of the blanket will be (w² + 10)inches².
Answer:
Option (1)
Step-by-step explanation:
From the picture attached,
Triangle CAB is a right triangle.
Therefore, m∠1 = 90°
Similarly, m∠ACD = 90°
m∠ACD = m∠ACB + m∠BCD = 90°
= m∠3 + m∠4 = 90°
Since m∠4 = 35°,
m∠3 + 35° = 90°
m∠3 = 90° - 35°
= 55°
In the triangle ABC,
m∠ACB + m∠CBA + m∠BAC = 180° [Property of a triangle]
m∠3 + m∠2 + m∠1 = 180°
55° + m∠2 + 90° = 180°
m∠2 + 145° = 180°
m∠2 = 180° - 145°
= 35°
Since, AB║CD and BC is a transverse,
Therefore, m∠2 = m∠4 = 35° [Alternate interior angles]
Option (1) is the correct option.
Answer:
4x - y = -5
Step-by-step explanation:
The equation of a new line which is parallel to old line 4x - y = 14 looks exactly the same as that of the old line EXCEPT that we replace the constant, 14, with C and find C for the line that passes through (-2, -3).
4x - y = 14 becomes 4x - y = C
Now substitutte -2 for x, -3 for y and calculate C:
4(-2) - (-3) = C, or
-8 + 3 = C = - 5
Thus, the new equation is 4x - y = -5
