Answer:
Step-by-step explanation:
Pythagorean Theorem, is what provides us with the relationship between the sides in a right triangle. it is often written in the form of the equation: a2 + b2 = c2.
to work it out
Step-by-step explanation:
1/2(4y+6)=4-2(y-6)/3= -2
step by step explaining
subtract 2 with 3 to get -1
then add 1 to it to get -2 so the answer is -2
Well when it comes to absolute value remember that whatever number is inside the two straight lines will always come out as a positive.
a) [54] would still be 54
b)-[-7 3/5] so first you get the absolute value which comes out to 7 3/5 but because there is a negative sign out side of the two parallel lines, the answer would be -7 3/5
c)[3]-[-1] the absolute value of 3 is 3 and the absolute value of -1 is 1. So the expression would be 3-1 which comes out to 2
d)[2.2-5.13] 2.2-5.13 would equal -2.93 but since it is in the absolute value, the answer would come out as 2.93
Hope this helps!
Answer:
a) 34.64 inches
b) The TV will not fit inside the TV cabinet
Step-by-step explanation:
Angharad is buying a new 40-inch screen TV (remember that TV screens are measured along the diagonal )
a)If it is 20 inches tall, how wide is the screen ?
We solve using the formula:
Diagonal ² = Width² + Height²
Diagonal = 40 inches
Height = 20 inches
40² = Width² + 20²
Width² = 40² - 20²
Width = √40² - 20²
Width = √(1200)
Width = 34.641016151 inches
Approximately = 34.64 inches
b)Her TV cabinet is 30 inches wide .will the TV fit inside it ?
From the above calculation, the width of the TV = 34.64 inches
Hence the width of the cabinet has to be equal to or more than 34.64 inches
Hence, The TV will not fit inside the TV cabinet
If (x+2) is a factor of 3x^2+14x+k, the equation must equal zero when x=-2 so:
3(-2)^2+14(-2)+k=0
12-28+k=0
-16+k=0
k=16
