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2 years ago

Example Solve the quadratic equation x² - 6x +13=0

1 answer:

8 0

$x^2-6x+13=0\\\\\implies x^2-6x =-13\\\\\implies x^2 -2\cdot 3 \cdot x+3^2 -3^2 =-13\\\\\implies (x-3)^2 -9 = -13\\\\\implies (x-3)^2 = -13 +9 = -4\\\\ \implies x-3 =\pm\sqrt{-4} \\\\\implies x -3 = \pm2i\\\\\implies x = \pm 2i +3\\\\\text{Hence,}~ x = 3 + 2i, ~~ x = 3-2i$

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This figure shows circle Z with chords AB and RS . mAR=55° mRB=66° AB=8 m RS=8 m What is mRS?

Alina [70]

M AR = 55°
m RB = 66°
Like AB=8 m =RS →m RS = m AB

m AB = m AR + m RB
m AB = 55° + 66°
m AB = 121°

m RS = m AB
M RS = 121°

Answer: m RS is 121°

4 0

3 years ago

Read 2 more answers

Find the distance between the points:

lesantik [10]

To calculate distance between two points we use the distance formula sqrt((x2−x1)^2+(y2−y1)^2).

To start, we find the square of the distance between x1 and x2 and y1 and y2. The distance between x1 and x2, or 1 and 3, is 2. The distance between y1 and y2, or 3 and -4, is 7.

Now we square 2 and 7 and add them together to get 4 + 49 = 53.

The last thing we do to find the distance is take the square root of 53. 53 is not a perfect square and is also a prime number so our answer in simplest form is still sqrt53.<span />

6 0

3 years ago

AB = 6cm , AC = 12cm <br> Calculate the length of CD <br> Give your answer to 3 significant figures

Len [333]

Answer:

144-36=108

Square root 108 = 10.4cm (cb)

Soh Cah toa

Sin(55) =o/h

=10.4/h

H x sin55 =10.4

÷sin55

H= 10.4/sin55

H=12.7cm

CD is 12.7cm to 3 s.f.

6 0

2 years ago

Can someone help me please?

jeka57 [31]

Answer:

This is the graph of the question

Step-by-step explanation:

8 0

3 years ago

A local store, Faith Ltd has two options to choose either Big Van or Small Van or both types of van to supply bags of rice to lo

Nady [450]

Answer:

Cheapest cost to pay = £906

Step-by-step explanation:

Given that:

Rice to supply = 50 tonnes

Option A:

Big van has capacity of 15 tonnes.

Number of big vans = $\frac{50}{15}=3.33$

It means that 4 big vans will be needed for transporting 50 tonnes of rice.

Cost of 4 vans = 4*250 = £1000

Option B:

Small van has capacity of 9 tonnes.

Number of small vans = $\frac{50}{9} = 5.55$

It means that 6 small vans will be nedded for transporting 50 tonnes of rice.

Cost of 6 vans = 6*151 = £906

Therefore,

The company can transport the rice through small vans.

Hence,

Cheapest cost to pay = £906

6 0

3 years ago