Answer:
Therefore the y-intercept of the function is 4.
Step-by-step explanation:
Intercepts:
The line which intersect on x-axis and y-axis are called intercepts.
y-intercept: The line or function which intersect at y-axis. So when the line intersect at y-axis, X coordinate is zero.
So in the given Function Put x = 0 we will get the y-intercept
Put x =0
Therefore the y-intercept of the function is 4.
9.
<2 and <6 are right angles by the definition of perpendicular lines.
Since corresponding angles are congruent, m || n.
11.
In a triangle, the measures of the three angles add to 180 degrees.
If one angle is a right angle, then that angle measures 90 degrees. The other two angle measures plus 90 degrees add to 180 degrees, so the other two angle measures add to 90 degrees. In a right triangle there is a right angle and two other angles that are complementary.
Now look at your problem.
One angle is a right angle.
The other two angles are complementary, so their measures add to 90 deg.
8x + 2 + 9x + 3 = 90
17x + 5 = 90
17x = 85
x = 5
Answer:
Angle PTR and angle PTS are supplementary angles. Lines PQ and RS intersect at an angle less than a right angle. Angle PTR and angle PTS are complementary angles.
Step-by-step explanation:
Missing: 360 | Must include: 360
look at
https://www.google.com/search?q=x+%3D+4.+5x+%2B23x%5E3+-+360&rlz=1CAJAIV_enUS838&oq=x+%3D+4.+5x+%2B23x%5E3+-+360&aqs=chrome..69i57&sourceid=chrome&ie=UTF-8&safe=active&ssui=on
Answer: 3 units
Step-by-step explanation:
the volume of a cone C = πr²h/3
C = 18π, h =2x, r = diameter/2 = 2x/2 =x
18π = π* x²* 2x/3
divide through by π
18 = x² * 2x/3
multiply through by 3
54 = 2x³
divide through by 2
27 = x³
x =∛27 = 3
x = 3 units = radius
