Answer:
8
Step-by-step explanation:
Since they intersect you can just solve for x and y
since y=-4x and y=x^2+2x+8, you can set -4x=x^2+2x+8
add 4x to both sides to make 0=x^2+6x+8
and factor out (x+4)(x+2)
so the solutions for x are -4 and -2
then insert the two values for x into the first equation
so y=-4(-4) and y=-4(-2)
so y=16 and y=8 when x=-4 and x=-2
so the smallest value for y in both equations is 8
Please give brainliest :)
Answer:
22.5 feet (to the nearest tenth).
Step-by-step explanation:
The equations have not been given but still the question can be solved. The ladder lying with a building makes a right angled triangle, in which the ladder is the hypotenuse, the building is the perpendicular, and the ground is the base. The length of the ladder (hypotenuse) is 26 feet and the angle with the ground is 60 degrees. The required length to be found is the length of the building (perpendicular). So the following formula will be used:
sin θ = Perpendicular/Hypotenuse.
Substituting in the equation gives:
sin60 = p/26.
p = 26*sin60.
p = 22.5 (to the nearest tenth).
The approximate height of the building is 22.5 feet!!!
Answer:
14,16
Step-by-step explanation:
Let x be the first even number.
Let y be the 2nd even number.
Given, y - x = 2 (Since they are 2 consecutive even numbers.)
rearranging the equation: y = x+2 (equation 1)
Also given,
(equation 2)
Now we can substitute equation 1 into equation 2 to find x.
Given the smaller even number x, is 14, we will substitute x into equation1 to find y, the bigger even number.
y = 14+2
= 16
Therefore the 2 numbers are 14 and 16.
5+4+7+2=18
18-2=16
16/18
88% chance of selecting a marble that isnt white
Answer:
y = 4
Step-by-step explanation:
y = (1/2)x + 1
when x = 6
y = (1/2)(6) + 1
y = 3 + 1
y = 4
