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expeople1 [14]
2 years ago
10

Some of the steps in the derivation of the quadratic formula are shown. Step 3: –c + StartFraction b squared Over 4 a EndFractio

n = a(x squared + StartFraction b Over a EndFraction x + StartFraction b squared Over 4 a squared EndFraction) Step 4a: –c + StartFraction b squared Over 4 a EndFraction = a(x + StartFraction b Over 2 a EndFraction) squared Step 4b: negative StartFraction 4 a c Over 4 a EndFraction + StartFraction b squared Over 4 a EndFraction = a(x + StartFraction b Over 2 a EndFraction) squared Which best explains or justifies Step 4b? factoring a polynomial multiplication property of equality converting to a common denominator addition property of equality
Mathematics
2 answers:
icang [17]2 years ago
8 0

Answer:

The square root of terms separated by addition and subtraction cannot be calculated individually.

Step-by-step explanation:

svlad2 [7]2 years ago
5 0

Answer:

The square root of terms separated by addition and subtraction cannot be calculated individually

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Assume a loan balance of $174,000, a monthly payment of $1,395, and an interest rate of 8%. On next month's payment, how much of
o-na [289]
Given a loan balance of <span>$174,000 and an interest rate of 8%, the interest due for the next months payment is given by

\frac{0.08(174,000)}{12} \right)= \frac{13,920}{12} =\$1,160

Therefore, the amount out of the monthly payment of $1,395 that will be applied to the principal is $1,395 - $1,160 = $235.
</span>
4 0
2 years ago
Helen’s house is located on a rectangular lot that is 1 1/8 miles by 9/10 mile.Estimate the distance around the lot
RUDIKE [14]

Answer:

The distance around the lot is 4.05 miles .

Step-by-step explanation:

Formula

Perimeter\ of\ rectangle = 2 (Length + Breadth)

As given

Helen’s\ house\ is\ located\ on\ a\ rectangular\ lot\ that\ is\ 1 \frac{1}{8}\ miles\ by\ \frac{9}{10}\ mile.

i.e

Helen’s\ house\ is\ located\ on\ a\ rectangular\ lot\ that\ is\ \frac{9}{8}\ miles\ by\ \frac{9}{10}\ mile.

Here

Length = \frac{9}{8}\ miles

Breadth = \frac{9}{10}\ miles

Put in the formula

Perimeter\ of\ rectangle = 2(\frac{9}{8}+\frac{9}{10})

L.C.M of (8,10) = 40

Perimeter\ of\ rectangle = \frac{2\times (9\times 5+9\times 4)}{40}

Perimeter\ of\ rectangle = \frac{2\times (45+36)}{40}

Perimeter\ of\ rectangle = \frac{2\times 81}{40}

Perimeter\ of\ rectangle = \frac{81}{20}

Perimeter of rectangle = 4.05 miles

Therefore the  distance around the lot is 4.05 miles .


6 0
2 years ago
Read 3 more answers
The formula for the area of a rhombus is A = a equals StartFraction one-half EndFraction d 1 d 2.d1d2, where d1 and d2 are the l
Strike441 [17]

Answer:

\large\boxed{d_1=\dfrac{2A}{d_2};\ d_2=\dfrac{2A}{d_1}}

Step-by-step explanation:

A=\dfrac{1}{2}d_1d_2\qquad\text{multiply both sides by 2}\\\\2A=2\!\!\!\!\diagup\cdot\dfrac{1}{2\!\!\!\!\diagup}d_1d_2\\\\2A=d_1d_2\to d_1d_2=2A

\text{For}\ d_1:\\\\d_1d_2=2A\qquad\text{divide both sides by}\ d_2\neq0\\\\d_1=\dfrac{2A}{d_2}\\\\\text{For}\ d_2:\\\\d_1d_2=2A\qquad\text{divide both sides by}\ d_1\neq0\\\\d_2=\dfrac{2A}{d_1}

4 0
2 years ago
Read 2 more answers
A truck is bought at the price of $60,000. The value decreases at the rate of .25 every year (t). The exponential expression 60,
ziro4ka [17]
It is B because you have to subtract and than you have to add
8 0
2 years ago
the perimeter of an isosceles trapezoid is 62 cm. if three sides are equal in length and the fourth side is 10 cm longer, find t
Alja [10]
Perimeter = sum of all the sides
let x = one side
longer side = x + 10
Perimeter = x + x + x + x + 10
62 = 4x + 10
4x = 52
x = 13
Longer side = 23

Area = (10+23)x2/10
         = 6.6  
5 0
2 years ago
Read 2 more answers
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