Answer:
D. -5
Step-by-step explanation:
The x-intercept is the point at which the graph crosses the x-axis.
Answer:
PQ = 1 ft
QR = 4 ft
Step-by-step explanation:
From the picture attached,
Segment PR has been divided into two parts by a point Q.
Length of segment PR = 5 feet
Length of segment PQ = (15x - 2) ft
Length of segment QR = (5x + 3) ft
Since, PR = PQ + QR
5 = (15x - 2) + (5x + 3)
5 = 20x + 1
20x = 4
x = 
x = 0.2
PQ = 15x - 2
= 15(0.2) - 2
= 3 - 2
= 1 ft
QR = 5x + 3
= 5(0.2) + 3
= 1 + 3
= 4 ft
B. c = ((3)sin45°)/sin40°
Side a is given information: 3cm, and we can find angle A (which is the angle opposite side a) by subtracting the other two angles from 180 because the total interior angle measures of a triangle add to equal 180°.
Angle A = 180 - (95+45) = 40°.
This can be substituted into the equation for the law of sines.
sin(40)°/3 = sin(45)°/c
—Cross multiply
c•sin(40)° = 3•sin(45)°
—divide both sides by sin40 to get the variable c alone and we get:
c = (3)sin(45°)/sin(40°)
this also simplifies to 3.3 cm.
<h3>
Answer: 24/25</h3>
====================================================
Explanation:
If sin(x) = 3/5, then cos(x) = 4/5 through the use of the trig identity
sin^2(x) + cos^2(x) = 1
This is assuming that x is in quadrant Q1.
Plug those values into the identity below and simplify.
sin(2x) = 2*sin(x)*cos(x)
sin(2x) = 2*(3/5)*(4/5)
sin(2x) = 24/25
4
Absolute value of -4 would be 4
