Answer:
9
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
3(y + 2)² + 3x
x = 2
y = -1
<u>Step 2: Evaluate</u>
- Substitute: 3(-1 + 2)² + 3(2)
- Add: 3(1)² + 3(2)
- Exponents: 3(1) + 3(2)
- Multiply: 3 + 6
- Add: 9
5/10 in the lowest fraction is 1/5
The decimal form is 0.5 if you need it
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Answer:
86
Step-by-step explanation:
<u>Perimeter of WXY = WSY+WRX+XY</u>
<em>--> WSY = SY x 2</em>
--> WSY = 16 x 2 = 32
<em>Since it is an isosceles triangle, WRX = WSY</em>
--> WRX = 32
<em>--> Draw a straight line from W to XY to divide it into two halves assuming it to be point A. This would form a right angle triangle of WAX.</em>
<em>--> Solve it using the cos theta rule</em>
--> Angle = Angle X = 70°
Hypotenuse = WRX = 32
Adjacent = WA = ?
<em>--> Cos (Angle) = Adjacent/Hypotenuse</em>
Cos (70) = WA/32
WA = 10.9 rounded off to 11
--> WA=AY= 11
--> XY = WA + AY = 11+11 = 22
<em>--> Perimeter = WSY+WRX+XY</em>
Perimeter = 32+32+22
Perimeter = 86
Therefore, the perimeter of WXY is 86.
Answer:
(-0.5,-2.5)
Step-by-step explanation:
- (x1 + x2) / 2 = x midpoint
- (y1 + y2) / 2 = y midpoint
<h3>X:</h3>
⇒ 2 + -3 = 5
⇒ 5 / 2 = -0.5
<h3>Y:</h3>
⇒ 4 + -9 = -5
⇒ -5 / 2 = -2.5
→ = (-0.5, -2.5)
Step-by-step explanation:
log (√1000000x)
Rewrite √1000000x as (1000000x)1/2.
expand long ((1000000x)1/2) by moving 1/2
oby moving logarithm.
1/2 longth (1000000x)
Rewrite
log
(1000000x) as log(1000000)+log(x).
1/2(log(1000000)+log(x))
Logarithm base 10 of 1000000 is 6.
1/2(6+log(x))
Apply the distributive property.
1/2.6+1/2 log(x)
Cancel the common factor of 2.
3+1/2 long(x)
Combine 1/2 and log(x)
3+ long(x)/2
