Answer:
Step-by-step explanation:
Explanation:
Start by writing out your starting expression
x
2
−
5
x
2
+
5
x
−
14
−
x
+
3
x
+
7
Next, factor the denominator of the first fraction
x
2
+
5
x
−
14
x
2
+
7
x
−
2
x
−
14
x
(
x
−
2
)
+
7
(
x
−
2
)
(
x
−
2
)
(
x
+
7
)
Your expression is thus equivalent to
x
2
−
5
(
x
−
2
)
⋅
(
x
+
7
)
−
x
+
3
x
+
7
Since you have to subtract two fractions, you need to find the commonon denominator first. To do that, multiply the second fraction by
x
−
2
x
−
2
x
2
−
5
(
x
−
2
)
⋅
(
x
+
7
)
−
(
x
+
3
)
⋅
(
x
−
2
)
(
x
−
2
)
⋅
(
x
+
7
)
This will get you
x
2
−
5
−
(
x
+
3
)
(
x
−
2
)
(
x
−
2
)
(
x
+
7
)
x
2
−
5
−
x
2
−
x
+
6
(
x
−
2
)
(
x
+
7
)
=
1
−
x
(
x
−
2
)
(
x
+
7
)
Answer:
28
Step-by-step explanation:
(35/5) ÷ (-3/4)
= (35/5) x (-4/3)
= 7 x (-4/3)
= -(7 x 4) / 3
= -28 / 3
hence the numerator is 28
Answer:
on https://www.storyofmathematics.com it says
To simplify any algebraic expression, the following are the basic rules and steps:
Remove any grouping symbol such as brackets and parentheses by multiplying factors.
Use the exponent rule to remove grouping if the terms are containing exponents.
Combine the like terms by addition or subtraction.
Combine the constants.
6x^2+3x+9. (combine the two X^2 then the other two don’t have pairs)
Answer:
Step-by-step explanation:
y = ⅖x-2
slope of line is ⅖
slope of any perpendicular to line is -5/2
point-slope equation for line of slope -5/2 that passes through (-4,-3):
y+3 = (-5/2)(x+4)