Answer:
y = 4
Step-by-step explanation:
Since the line in question is parallel to the x axis, we can tell that going from one end of the line to the other, x value changes, but y value always stays the same and equals 4.
Answer:
8 and 12
Step-by-step explanation:
The perimeter of the given rectangle is ...
P = 2(L +W)
P = 2(14 +21) = 2(35) = 70
The scale factor to the similar triangle is ...
similar perimeter/original perimeter = 40/70 = 4/7
__
The dimensions of the similar triangle are the original triangle dimensions multiplied by this scale factor:
(14)(4/7) = 8
(21)(4/7) = 12
The sides of the similar triangle are 8 and 12.
Answer: x ≈ 1.59688927, −1.60312387, −4.67045686, 4.69039614, 7.872914, −7.91513776, −10.89002194
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Simplify 2*cosx*(2x+30°) + √3=0
Simplify each term.
Apply the distributive property.
- 2 cos
(
x
) (
2
x
) +
2 cos
(
x
) *
30
° +
√
3
=
0
- Multiply 2 by 2
- 4 cos
(
x
) x + 2 cos
(
x
) *30
°
+
√
3
=
0
- Multiply 30
°by 2
- 4
cos
(
x
) x + 60
cos
(
x
)
+
√
3
=
0
- Reorder factors in 4 cos ( x ) x + 60 cos ( x ) + √3
- 4xcos(x)+60cos(x)+√3=0
- Graph each side of the equation. The solution is the x-value of the point of intersection. x ≈ 1.59688927 , − 1.60312387 , − 4.67045686 , 4.69039614 , 7.872914 , − 7.91513776 , − 10.89002194
Answer:
y- intercept = 22
Step-by-step explanation:
to find the y- intercept substitute x = 0 into f(x)
f(0) = (0 - 11)(0 - 2) = - 11 × - 2 = 22 → (0, 22 )