Answer:
y- intercept = 1
Step-by-step explanation:
The y- intercept is the point on the y- axis where the graph crosses.
This occurs when the x- coordinate is 0
From the table the point (0, 1 ) is where the graph crosses the y- axis
Then y- intercept = 1
Hello.
The solutions found to radical equations are not necessarily viable. They sometimes result in inequalities, and have to be checked.
Hope I helped.
Answer:
A. x = 58°
B. x = 10m
C. a = 44°
All approximated to nearest whole number.
Step-by-step explanation:
All triangles given are right angled triangles. Therefore, we would apply the trigonometry functions to solve for each missing side and angle.
Recall: SOHCAHTOA
a. Adjacent = 4.8cm,
Hypotenuse = 9cm
Angle to find =x°
Thus, we would apply the following formula:
Cos θ = Adjacent/Hypotenuse
Cos θ = 4.8/9 = 0.5333
θ = Cos-¹(0.5333) = 57.77
x ≈ 58° (to nearest whole number)
b. Opposite side = x
Hypothenuse = 40 m
Included angle = 14°
We would use:
Sine θ = opposite/hypothenuse
Sin (14) = x/40
Multiply both sides by 40
40*sin(14) = x
40*0.2419 = x
x = 9.676 = 10 m (to nearest whole number)
c. Opposite = 87mm
Adjacent = 91mm
θ = a°
We would use:
Tan θ = opposite/adjacent
Tan θ = 87/91
Tan θ = 0.9560
θ = tan-¹(0.9560)
θ = a = 43.71
a ≈ 44° (to nearest whole number)
To find the hypothenuse use Pythagorean theorem: 13²+5²=h²,
h=√13²+5²=13.93cm = hypothenuse.
Hello!
Here are the steps to your problem:
3x + 5 = x - 3
3x -x = -3 -5
2x = -8
x = -4
I hope this helps you! Have a lovely day!
-Mal