This is the correct answers
The measure of the ∠Q = 41°
By law of cosines:
a law in trigonometry: the square of a side of a plane triangle equals the sum of the squares of the remaining sides minus twice the product of those sides and the cosine of the angle between them.
Which can we stated as:

solving equation using normal algebra:
60cos(Q) = 36 + 25 - 16
60 cos(Q) = 45
cos(Q) = 45/60
cos(Q) = 3/4

Thus, Q = 41°
Hence, the measure of the smallest angle in a triangle whose sides have lengths 4, 5, and 6. ∠Q is 41°.
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Answer:

Step-by-step explanation:
we have

Solve for x
Applying difference of squares in the denominator of the second term in the left side

Multiply both sides by (x+3)(x-3)

Apply the distributive property in the left side

Combine like terms left side

Group terms


Divide by 3 both sides

Answer:
x=4
Step-by-step explanation: Let's solve your equation step-by-step.
3x+2=14
Step 1: Subtract 2 from both sides.
3x+2−2=14−2
3x=12
Step 2: Divide both sides by 3.
3x
3
=
12
3
x=4
Answer:
x-intercept: 2 y-intercept= -4
Step-by-step explanation:
First, change the given equation 4x-2y>8 to slope-intercept form, which is y=mx+b. We do this by solving for y.
4x-2y>8. <em>Subtract 4x from each side</em>
-2y> -4x+8. <em>Divide by -2. Don't forget to switch the sign!</em>
y< 2x-4 <em>is our equation in slope-intercept form. </em>
Now, we can graph it. We know the slope (m)= 2 and the y-intercept= -4. Start at -4 and move up two, over one, making points until you can form a line. We can see from the graph that when x=0, (0, -4) y= -4. When y=0, (2, 0), x=2. These are our intercepts of the graph!
<u>Hope this helps!</u>