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3 years ago

Help please! if you answer correctly i will give brainliest

Mathematics

2 answers:

kotykmax [81]3 years ago

8 0

Answer:

lesser x =1

greater x = 3

Step-by-step explanation:

x^2 -4x+3 =0

Factor

What two numbers multiply to -3 and add to -4

-3*-1 = 3

-1+-1 = -4

(x-3)(x-1) =0

Using the zero product property

x-3 =0 x-1 =0

x=3 x=1

Ronch [10]3 years ago

4 0

Answer:

lesser x = 1

greater x = 3

Step-by-step explanation:

x^2 - 3x - x + 3 = 0

x(x - 3) - 1(x - 3) = 0

= (x - 3)(x - 1) =0

= x = 3, 1

Hope this helps!

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BD is parellel to XY, what is the value of x

chubhunter [2.5K]

Well X should have the same value as B, but more information would be needed if you're looking for a more specific answer.

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4 years ago

Write the expanded expression in expanded form using the definition of an exponent. 2wz^2?

hram777 [196]

The expanded form of the given expression is 2 × w × z × z

<h3>Writing an expression </h3>

From the question, we are to determine the expanded form of the given expression

The given expression is

2wz²

To write an expression in an expanded form, we will write the expression as a repeated multiplication in the simplest way possible.

To do this, we will first expand the index in the given expression.

The index in the given expression is z²

Thus, we get

z² = z × z

Now, we will include the remaining individual terms in the expression and write them as product.

That is,

2wz² = 2 × w × z × z

Hence, the expanded form of the given expression is 2 × w × z × z

Learn more on Writing an expression here: brainly.com/question/17985350

#SPJ1

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2 years ago

Find the exact values of sin θ/2 and cos θ/2 for sin θ = 3/4 on the interval 0° ≤ θ ≤ 90°

timofeeve [1]

Answer:

Step-by-step explanation:

If our interval is between 0 and 90 degrees, that means that our angles are first quadrant angles. Since the formulas for the half angles of sin and cos consider both the positive and negative roots, knowing that we are in QI leaves us using only the principle, or positive, root.

Also, if we know that the sin of angle is 3/4, we can set up a right triangle in QI and find the missing side of that triangle using Pythagorean's Theorem. Sin of an angle is the ratio opposite side/hypotenuse. That means that, according to Pythagorean's Theorem,

$4^2=3^2+b^2$ and

$16-9=b^2$ and

$b=\sqrt{7}$

Now for the forula for the sin of a half-angle:

$sin(\frac{\theta}{2})=\sqrt{\frac{1-cos\theta}{2} }$

Referring to the right triangle we created and found the missing side for, we see that the cosine of that same triangle is $\frac{\sqrt{7} }{4}$

Filling in the formula then:

$sin(\frac{\theta}{2})=\sqrt{\frac{1-\frac{\sqrt{7} }{4} }{2} }$

Get a common denominator on the upper fraction:

$sin(\frac{\theta}{2})=\sqrt{\frac{\frac{4-\sqrt{7} }{4} }{2} }$

Bring up the 2 as 1/2 to multiply and get:

$sin(\frac{\theta}{2})=\sqrt{\frac{4-\sqrt{7} }{8} }$

When you do the exact same thing to find the cos of the half angle, you are using a + sign instead of a - sign under the radical. That gives you as your exact value:

$cos(\frac{\theta}{2})=\sqrt{\frac{4+\sqrt{7} }{8} }$