Answer:
B
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 3 and (a, b) = (7, - 2 ), thus
y - (- 2) = - 3(x - 7) , that is
y + 2 = - 3(x - 7) → B
The answer is to the question is C
The second angle would be 140⁰. When two angles are supplementary, they add up to 180⁰.
180⁰-40⁰=140⁰
Answer:
volume of cylinder = 1232cm³
Step-by-step explanation:
from the question
volume of cylinder =?
height of the cylinder = 8cm
Base diameter of the cylinder = 14cm
to solve this problem we need to know the formula to calculate the volume of a cylinder
volume of cylinder = πr²h
or
volume of cylinder = π(d/2)²h........................... if we are given diameter and not radius.
D= 14cm
d = 14/2
d = 7cm
now,
volume of cylinder = π × (7)² × 8
volume of cylinder = 22/7 ×49 ×8
volume of cylinder = 22 × 7 × 8
volume of cylinder = 1232cm³
therefor the volume of the cylinder is equals to 1232cm³
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Measurement of "AC" :
(x + 5) + (2x <span>− 11) ;
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Find the measurement of "AB" [which is: "(x+5)" ]:
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First, simplify to find the measurement of "AC" :
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</span>(x + 5) + (2x − 11) ;
= (x + 5) + 1(2x − 11) ;
= x + 5 + 2x − 11 ;
→ Combine the "like terms" ;
x + 2x = 3x ;
5 − 11 = - 6 ;
______________
to get: 3x − 6 ;
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So, (x + 5) + (2x − 11) = 3x − 6 ;
_______________________________
Solve for: "(x + 5)"
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We have:
_______________________________
(x + 5) + (2x − 11) = 3x − 6 ;
Subtract: "(2x − 11)" ; from EACH SIDE of the equation ;
to isolate "(x + 5)" on one side of the equation;
and to solve for "(x + 5)" ;
________________________________________________________
→ (x + 5) + (2x − 11) − (2x − 11) = (3x − 6) − (2x − 11) ;
→ (x + 5) = (3x − 6) − (2x − 11) ;
_________________________________________________
Note: Simplify: "(3x − 6) − (2x − 11)" ;
→ (3x − 6) − (2x − 11) ;
= (3x − 6) − 1(2x − 11) ;
= 3x − 6 − 2x + 11 ;
__________________________
→ Combine the "like terms" :
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+3x − 2x = 1x = x ;
-6 + 11 = 5 ;
_____________________________
To get: x + 5 ;
So we have:
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x + 5 = x + 5 ;
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So, x = all real numbers.
x = <span>ℝ </span>
