Answer: There's no answer choices but the exact value is -3±2√5
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
It can really help to think when you see |expression| that it means the distance from expression to zero.
(a) |x| < 7 means the distance from x to 0 is less than 7. That puts x between -7 and 7. The solution set is -7 < x < 7.
(b) |x + 3| < 9 means that the distance from x + 3 to 0 is less than 9. That puts x + 3 between -9 and 9:
-9 < x + 3 < 9 Now subtract 3 from all three parts.
-12 < x < 6
(c) |y - 8| > 11 means that the distance from y - 8 to 0 is more than 11 units. That puts y - 8 in one of two places: left of -11 or right of 11.
(g) 
means that the distance from 3x - 1 to 0 is more than (or equal to) 18. Another way to say it is, 3x - 1 is farther from 0 than 18 units. That puts 3x - 1 in one of two places: to the left of -18 or to the right of 18.
means that 4y + 3 is closer to 0 than 13; it is between -13 and 13.
(That last fraction is 10/4 simplified.)
Answer:
270 anticlockwise
-90 clockwise
-450 clockwise
Step-by-step explanation:
The answer, going clockwise is -90. One leg of the angle is on the +x axis and the other is going down from the origin. The only other answer is 270 degrees. That angle is starting at the + x axis and goes anticlockwise. It has to travel to the dividing line between the 3rd and 4th quad.
-450 also works. Starting at 0 and going -360 clockwise leads you right back to the +x axis. -450 -(-360) leaves you with -90. Minus 90 degrees puts you on the line between the 3rd and 4th quadrant which is the same place 270 and - 90 will land.
Everything else takes you other places. 450 for example is the +y axis and that is related to 90 degrees not - 90.
A cone that is sliced through the vertex would make the shape of a triangle.
You are told the h eight is 10 cm and the radius is 4 cm.
The radius would be half the base, so the base would be 4 * 2 =8 cm.
The area of the triangle is found by multiplying the base by the height, then dividing by two.
Area = 8 x 10 = 80
80 / 2 = 40 square centimeters.
Answer:
balloons= 9
candles= 8
Step-by-step explanation:
let the number of balloons be x
and candles be y
So
15x+8y=192----------1
x+y=17--------------2
from 2, x= 17-y
put x= 17-y in 1
15( 17-y)+8y=192
255-15y+8y=192
solve for y
-7y=192-255
-7y=-63
x=63/7
x=9
put x= 9 in 1
9+y=17
y= 17-9
y=8.
