Answer:
19
Step-by-step explanation:
note that
(a + b)² = a² + b² + 2ab , that is
a² + b² + 2ab = (a + b)² ← subtract 2ab from both sides
a² + b² = (a + b)² - 2ab
= 5² - 2(3)
= 25 - 6
= 19
Answer:
4278600
Step-by-step explanation:
You go to the number that would be in the 100th place (6) look to the number to the right (4), greater than 5 round up less than 5 round down.
1. SET UP EQUATION
(15x+1)+(6x+5)+(4x-1)=180
2. SIMPLIFY
25x+5=180
3. SUBTRACT 5 ON BOTH SIDES
25x=175
4. DIVIDE 25 ON BOTH SIDES
x=7
5. PLUG IN 7 FOR EACH ANGLE
15(7)+1
6(7)+5
4(7)-1
6. SIMPLIFY
105+1
42+5
28-1
7. SOLVE
106
47
27
ANSWERS:
x=7
15x+1=106 degrees
6x+5=47 degrees
4x-1=27 degrees
Do not expand the brackets, divide both sides by -2 and reverse the inequality!
So x + 6 < -41/-2 = 20.5
Now subtract 6 from both sides
x < 14.5
Graph by drawing a circle at 14.5 and an arrow from the circle pointing left.
The solution set is all real numbers up to, but not including, 14.5
Answer:
The correct answer is y = -6x - 4
Step-by-step explanation:
The given equation of the line : y = -6x + 2
Now, the general equation of the line in the slope-intercept form is given by : y = mx + c
Now, comparing the given equation with the general form, We get slope, m = -6
We need to find the equation of the line which is parallel to the given line and since the slope of two parallel lines are equal so the slope of the required line will also be -6
And it passes through the point (-1, 2)
The required equation will be :
⇒ y - 2 = -6 × (x + 1)
⇒ y - 2 = -6x - 6
⇒ y = -6x - 4
Therefore, The required equation is y = -6x -4
Hence, The correct answer is. y = -6x - 4
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