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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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Alex the electrician needs 34 yards of electrical wire to complete his job. He has a coil of wiring in his workshop. The coiled
bogdanovich [222]

Answer: This coil will not be enough to complete the job.

Step-by-step explanation:

The circumference of the coil of wiring can be calculated with:

C=2\pi r

Where r is the radius and \pi=3.14

The radius can be calculated by dividing the diameter by 2. Then:

r=\frac{18in}{2}\\\\r=9in

Convert 9 inches to yards (1 yard=36 inches):

(9in)(\frac{1yd}{36in})=0.25yd

Substitute this radius into the formula:

C=2(3.14)(0.25yd)\\C=1.57yd

Since there are 21 circles of wire, you need to multiply C=1.57yd by 21:

C_T=(1.57yd)(21)=32.97yd

The coil has 32.97 yards of wire and Alex needs 34 yards, therefore, this coil will not be enough  to complete the job.

8 0
2 years ago
The measure of central angle QRS is StartFraction 8 pi Over 9 EndFraction radians. What is the area of the shaded sector? 36Pi u
MArishka [77]

The question is missing the figure. So, it is attached below.

Answer:

Area of the shaded sector is <u>144π units squared</u>.

Step-by-step explanation:

Given:

Central angle of the sector is, \theta=\frac{8\pi}{9}\ rad

Radius of the circle is, R=18\ units

We know that, area of a sector of a circle of radius 'R' and central angle \theta is given as:

A=\frac{1}{2}R^2\theta

Plug in \theta=\frac{8\pi}{9},R=18. This gives,

A=\frac{1}{2}\times (18)^2\times \frac{8\pi}{9}\\\\A=(\frac{324\times 4}{9})\pi\\\\A=(36\times 4)\pi\\\\A=144\pi\ units^2

Therefore, the area of the shaded sector is 144π units squared.

5 0
2 years ago
Read 2 more answers
With an 18% discount, Joan was able to save $13.23 for a coat. What was the original price of the coat?
strojnjashka [21]
Hi there!

First we need to realise that the 18% discount equals John's savings. Therefore 18% of the original price is $13.23.

When we know 18% of the price, we can also find 1% of the total price.

18% = $13.23
Divide both sides by 18.

1% = $0.735
To find the total price, which equals 100%, we know only need to multiply both sides by 100.

100% = $73.50.
Therefore, the original price for the coat is $73.50.

~ Hope this helps you!
5 0
2 years ago
Traffic data revealed that 35 percent of automobiles traveling along a portion of an interstate highway were exceeding the legal
bija089 [108]
This is a typo and vaguely phrased. However, the closest to a direct solution is to think of it as follows: 35% of the cars are speeding. Out of these, 52% of the cars are also speeding. Hence, the result of cars that are both speeding and speed cars is 0.52*0.35=0.182
3 0
2 years ago
Read 2 more answers
Can someone please help me with my Imagine Math? My teacher assigned are class to do this even though we haven't learned about t
Daniel [21]

Answer:

first graph is not a function, second graph is a function, 3rd is not enough information, 4th is a function, 5th is not a function, 6th is a function

Step-by-step explanation:

8 0
2 years ago
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