Answer:
Step-by-step explanation:
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cecewiliams23
08/12/2016
Mathematics
High School
answered
How many solutions does the equation 5x + 3x − 4 = 10 have
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MathGeek289
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This Must Only Have One Solution, Because The Right Side Of The Equation Is Just Plainly Ten. Lets Solve This:
5x + 3x - 4 = 10
Add Four To Both Sides To Begin Simplifying.
5x + 3x = 14
Now, Combine Like Terms.
8x = 14
Divide:
8x/8 = 1X = X
14/8
X = 14/8
14/8 = 1.75
X = 1.75
Check:
(5 * 1.75) + (3*1.75) - 4 = 10
8.75 + 5.25 - 4 = 10
14 - 4 = 10
10 = 10.
This Is True, So X Does Equal 1.75
Option C:
x = 90°
Solution:
Given equation:
<u>To find the degree:</u>
Subtract 1 + cos²x from both sides.
Using the trigonometric identity:
Let sin x = u
Factor the quadratic equation.
u + 2 = 0, u – 1 = 0
u = –2, u = 1
That is sin x = –2, sin x = 1
sin x can't be smaller than –1 for real solutions. So ignore sin x = –2.
sin x = 1
The value of sin is 1 for 90°.
x = 90°.
Option C is the correct answer.
Answer:
V=20
Step-by-step explanation:
Simplify both sides of the equation.
4−2(v+9)=26
4+(−2)(v)+(−2)(9)=26(Distribute)
4+−2v+−18=26
(−2v)+(4+−18)=26(Combine Like Terms)
−2v+−14=26
−2v−14=26
Step 2: Add 14 to both sides.
−2v−14+14=26+14
−2v=40
Step 3: Divide both sides by -2.
−2v
−2
=
40
−2
v=−20
Solving by substitution:
y = 4x - 3
2x + 7y = 41
Let us substitute the first equation y = 4x - 3 into the second.
2x + 7y = 41
2x + 7(y = 4x -3) = 41
2x + 7(4x -3) = 41
So that's the third option.
I hope this helps.
