X=4
Explanation
First subtract 4x^2 + 6x from both sides of the equation
X^2 - 8x + 16 = 0
Then let’s factorice the equation using the middle-term break:
x^2 - 4x - 4x + 16 = 0
x (x - 4) - 4 (x - 4) = 0
(x - 4) (x - 4) = 0
(x - 4) ^2 = 0
x = 0
Therefore the solution to the equation is x = 4
Answer:
175°
Step-by-step explanation:
Bearing angles are usually measured clockwise from North. Reverse bearing angles differ from forward bearing angles by 180°. These relations and the usual angle sum relation for a triangle can be used to solve this problem.
Angle PQR will be the difference in the bearings from Q to P and Q to R:
∠PQR = 124° -46° = 78°
Triangle PQR is isosceles, so the base angle at P will be ...
∠QPR = (180° -78°)/2 = 51°
__
The bearing from P to R will be 51° less than the bearing from P to Q. The bearing from P to Q is 180° more than the bearing from Q to P.
PR bearing = PQ bearing - ∠QPR
= PQ bearing - 51°
= (46° +180°) -51° = 175°
The bearing of R from P is 175°.
Answer:
The correct answer is A.
Step-by-step explanation:
We are given:
The measure of two complementary angles are in the ratio 1 : 5
We know that the sum of complementary angles is 90 degree
Let the first angle be x
Let the other angle be 5x
Thus the equation we get:
x+5x = 90 degree
6x=90 degree
Divide both sides by 6
6x/6= 90/6
x= 15 degree
Now put the value of x in 5x
5x = 5(15)
= 75 degree
Thus the correct option is 15 degree, 75 degree....
Answer:
17.7 inches.
Step-by-step explanation:
The equation of the line of best fit is y = - 0.368x + 18.483 .......... (1)
Based on the line of best fit, we have to approximate how many inches of snowfall during the month of January when the average temperature is 2°F.
So, here, x = 2 and we have to calculate y using the equation (1).
So, y = - 0.368 × 2 + 18.483 = 17.747 ≈ 17.7 inches. (Answer)
Answer:
Yes, that's correct.
Step-by-step explanation: