Answer: Yes, the point (3,4) is a solution to the system.
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Proof of this:
Replace x with 3 and y with 4 in the first equation
x+y = 7
3+4 = 7
7 = 7
This confirms the first equation. Repeat for the second equation
x-2y = -5
3-2(4) = -5
3 - 8 = -5
-5 = -5
We get true equations for both when we plug in (x,y) = (3,4). This confirms it is a valid solution to the system of equations. It turns out it's the only solution to this system of equations. Visually, the two lines cross at the single location (3,4).
Answer:
B = 612.2 ft
Step-by-step explanation:
Solution:-
- The elevation of person, H = 235 ft
- The angle of depression, θ = 21°
- We will sketch a right angle triangle with Height (H), and Base (B) : the boat's distance to the edge of the cliff and the angle (θ) between B and the direct line of sight distance.
- We will use trigonometric ratios to determine the distance between boat and the edge of the cliff, using tangent function.
tan ( θ ) = H / B
B = H / tan ( θ )
B = 235 / tan ( 21 )
B = 612.2 ft
Answer:
<C=26
<B=48
<D=106
<F=42
Step-by-step explanation:
I labeled all the angles to help this make more sense :)
So first we find <C, which is supplementary to <E so just do 180-154=26
Next, we know that <F and <B are equal because they form corresponding angles.
Angles <C <D and <B form a triangle. The three angles of a triangle always equal 180. Now that we know angles <C and <B, we just do 180-26-48=106.
Lastly, to find angle A, we just take 180-106-48=42.
Hope this helps
Answer:
115
Step-by-step explanation:
When multiplying a fraction by a fraction, you multiply the numerator by the numerator and same with the denominator. 13 times 4 =52, 7 times 9=63, 52+63=115. Hope this helps!
Answer:
b = -3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6b+14=−7−b
6b+14=−7+−b
6b+14=−b−7
Step 2: Add b to both sides.
6b+14+b=−b−7+b
7b+14=−7
Step 3: Subtract 14 from both sides.
7b+14−14=−7−14
7b=−21
Step 4: Divide both sides by 7.
b= -3
