Step-by-step explanation:
we have
5x+4=2x+9
5x-2x=9+4
3x=13
x=13/3
Answer:
The fraction with the smaller denominator
Step-by-step explanation:
We are asked in the problem to find csc (13pi/6). first we can convert the radians angle first to degrees that is equal to 390 degrees. The terminal angle is 30 degrees. csc is the reverse of sin. sin 30 is equal to 1/2, positive since in the first quadrant. hence the answer is 2.
How to solve your problem
Topics: Algebra, Polynomial
7
3
+
2
=
−
1
\frac{7x}{3}+2=-1
37x+2=−1
Solve
1
Find common denominator
7
3
+
2
=
−
1
\frac{7x}{3}+2=-1
37x+2=−1
7
3
+
3
⋅
2
3
=
−
1
\frac{7x}{3}+\frac{3 \cdot 2}{3}=-1
37x+33⋅2=−1
2
Combine fractions with common denominator
7
3
+
3
⋅
2
3
=
−
1
\frac{7x}{3}+\frac{3 \cdot 2}{3}=-1
37x+33⋅2=−1
7
+
3
⋅
2
3
=
−
1
\frac{7x+3 \cdot 2}{3}=-1
37x+3⋅2=−1
3
Multiply the numbers
7
+
3
⋅
2
3
=
−
1
\frac{7x+{\color{#c92786}{3}} \cdot {\color{#c92786}{2}}}{3}=-1
37x+3⋅2=−1
7
+
6
3
=
−
1
\frac{7x+{\color{#c92786}{6}}}{3}=-1
37x+6=−1
4
Multiply all terms by the same value to eliminate fraction denominators
7
+
6
3
=
−
1
\frac{7x+6}{3}=-1
37x+6=−1
3
(
7
+
6
3
)
=
3
(
−
1
)
3(\frac{7x+6}{3})=3\left(-1\right)
3(37x+6)=3(−1)
5
Cancel multiplied terms that are in the denominator
3
(
7
+
6
3
)
=
3
(
−
1
)
3(\frac{7x+6}{3})=3\left(-1\right)
3(37x+6)=3(−1)
7
+
6
=
3
(
−
1
)
7x+6=3\left(-1\right)
7x+6=3(−1)
6
Multiply the numbers
7
+
6
=
3
(
−
1
)
7x+6={\color{#c92786}{3}}\left({\color{#c92786}{-1}}\right)
7x+6=3(−1)
7
+
6
=
−
3
7x+6={\color{#c92786}{-3}}
7x+6=−3
7
Subtract
6
6
6
from both sides of the equation
7
+
6
=
−
3
7x+6=-3
7x+6=−3
7
+
6
−
6
=
−
3
−
6
7x+6{\color{#c92786}{-6}}=-3{\color{#c92786}{-6}}
7x+6−6=−3−6
8
Simplify
Subtract the numbers
7
=
−
9
7x=-9
7x=−9
9
Divide both sides of the equation by the same term
7
=
−
9
7x=-9
7x=−9
7
7
=
−
9
7
\frac{7x}{{\color{#c92786}{7}}}=\frac{-9}{{\color{#c92786}{7}}}
77x=7−9
10
Simplify
Cancel terms that are in both the numerator and denominator
=
−
9
7
x=\frac{-9}{7}
x=7−9
Solution
=
−
9
7
Let's pick on two points. Let's say we pick the first two points which are (1,4) and (0,5,3.5)
The slope formula tells us that
m = (y2-y1)/(x2-x1)
m = (3.5-4)/(0.5-1)
m = (-0.5)/(-0.5)
m = 1
So the slope is 1. We can pick any other two points, run them through the slope formula, and we'll get the same result.
So that's why the answer is choice C) 1