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AlladinOne [14]
3 years ago
13

How is this problem factored? 35x^2-57x-44

Mathematics
1 answer:
faust18 [17]3 years ago
7 0
You can use the quadratic formula with it which will be easier 
or simple factoring 
it will be (5x-11)(7x+4)
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a function is defined on the complex numbers by where and are positive numbers. this function has the property that for each com
dedylja [7]

The value of p+q = 403,For the given complex number a+bi and b^{2} =\frac{p}{q}

where p and q are co-primes

F(z)= (a+ib)z⇒this is equidistant from "0" and "z"

Given  modulus of complex number (a+ib) = 10 ; b^{2} =\frac{p}{q} p and q ∈Z

G.C.D of ( p and q)=1

(a+ib)z equidistant from "0" and "z"

&\Rightarrow|(a+i b) z-z|=|(a+i b) \bar{z}-0|\\&|z(a+i b-1)|=|(a+i b) \bar{z}|\\&[\bar{z}||(a-1)+i b|=| z|(a+i b)|\\&|a-1+i b|=|a+i b|\\&\sqrt{(a-1)^2+b^2}=\sqrt{a^2+b^2}\\&|a+i b|=10 \quad a^2+1-2 a+b^2=x^2+b^2\\&\sqrt{a^2+b^2}=10\\&a=1 / 2\\&a^2+b^2=100\\&b^2=100-\frac{1}{4}\\

b^{2} =\frac{399}{4}

p = 399 and q= 4

p+q= 399+4

p+q=403

Hence the value of p+q = 403

Complete question:A function f is defined on the complex number by f (z) = (a + bi)z, where 'a' and 'b' are positive numbers. This function has the property that the image of each point in the complex plane is equidistant from that point and the origin. Given that |a+bi|=8 and thatb^{2} =\frac{p}{q}  where p and q are coprime. Find the value of (p+q)

Learn more about complex numbers here:

brainly.com/question/20566728

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6 0
1 year ago
Solve the equation formed when f(x) = g(x). f(x) = 2.5x − 4 g(x) = −2x + 10 a. x=1 b.x=2 c. x=3 d. x=4
san4es73 [151]
(1+1/2+1/4) divided by
7 0
3 years ago
Read 2 more answers
The perimeter of a square varies directly with the length of one side. what is an equation that relates the perimeter p and leng
PilotLPTM [1.2K]
P=KL where K is the constant of variation
4 0
3 years ago
You go out to eat at the Outback Steakhouse. Your meal, drink and desert cost $38.56. You are
Stells [14]

Answer:

44.34

Step-by-step explanation:

15 \div 100 \times 38.56 =

= 5.78

38.56 + 5.78 = 44.34

5 0
3 years ago
The total number of pears and oranges in a basket is between 30 and 40 . There are 25% more apple than orange how many apples ar
Verdich [7]

The number of apples there are in the basket as described in the task content is; 20 apples.

<h3>What is the number of apples there are in the basket?</h3>

Inference drawn from the task content show that;

  • The ratio of apples to oranges in the basket is; 5:4. making the total partitions be 9.

On this note, we must identify a number divisible by 9 between 30 and 40.

The number is 36 and once divided by 9 is 4 units per partition.

On this note, the total number of apples in the basket is; 4 × 5 = 20 apples.

Read more on ratios;

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7 0
2 years ago
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