MATHEMATICS HIGH SCHOOL

Find the values of x and y.
Find the values of x and y. - 1

Answers

Answer 1
Answer:

Answer:

x=3.5,y=24

Step-by-step explanation:

The smaller triangle joining the midpoints of the bigger right angle triangle will also be a right angle triangle.

Midpoint Theorem-

According to this, the segment joining two sides of a triangle at the midpoints is half the length of the third side.

Applying this,

\Rightarrow x=(1)/(2)(4x-7)

\Rightarrow 2x=4x-7

\Rightarrow 4x-2x=7

\Rightarrow 2x=7

\Rightarrow x=(7)/(2)=3.5

So, the hypotenuses of the bigger triangle will be,

=6(3.5)+4=25

Applying the mid point theorem, the hypotenuses of the smaller triangle will be,

=(1)/(2)* 25=12.5

Applying Pythagoras theorem in the smaller triangle, the leg will be

=√(12.5^2-3.5^2)\n\n=√(156.25-12.25)\n\n=√(144)\n\n=12

Again applying mid point theorem,

\Rightarrow y=2* 12=24

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What is the factored form of the polynomial?x2 + 9x +20

(x − 4)(x − 5)
(x − 2)(x − 10)
(x + 4)(x + 5)
(x + 2)(x + 10)

Answers

The factored form of the polynomial x² + 9x + 20 is ( x + 4 ) ( x + 5 )

Further explanation

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

D = b² - 4 a c

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

Let us now tackle the problem!

Given :

x^2 + 9x + 20

To factor this form, we first look for the following operations:

_ + _ = 9

_ × _ = 20

To fill in the blanks, the matching numbers are :

4 + 5 = 9

4 × 5 = 20

Next, the above equation can be factorized into:

x^2 + 9x + 20

x^2 + 4x + 5x + 20

(x^2 + 4x) + (5x + 20)

x(x + 4) + 5(x + 4)

\large {\boxed {(x + 4)(x + 5)} }

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Answer details

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

Keywords: Quadratic , Equation , Discriminant , Real , Number

Answer:

(C)(x + 4)(x + 5)

Step-by-step explanation:

The given equation in the form of polynomial is:

x^2+9x+20

Factorizing the above given equation, we get

x^2+5x+4x+20

x(x+5)+4(x+5)

Taking x+5 common, we have

(x+4)(x+5)

which is the required factorised form.

Therefore the factors of the given polynomial are (x+4)(x+5).

Thus, Option (C) is correct.

about 60% of the normal human beings body weight is composed is water. How much of a 125 pound person is water weight?

Answers

60% of weight 60%=0.6 'of' means multipy 60% of 125 means 0.6 times 125=75 75 pounds
u do .6 x 125 = 75 
Hope it right! and it helps u out!

1. Raymond is repairing wires on a radio broadcast tower. He is in a basket of the repair truck40m from the tower. When he looks up, he estimates the angle of elevation to the top of the
tower as 42°. When he looks down, he estimates the angle of
depression to the bottom of the tower as 32°. How high is the tower
to the nearest tenth of a metre?

Answers

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What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.

What are Pythagorean triplets?  

In a right angled triangle, its side, such as hypotenuse, perpendicular and base  is Pythagorean triplets.

here,
To determine the height of the tower,
h = 40 tan 32° + 40 tan 42°
h = 61 m

Thus, the required height of the tower is given as 61 meters.

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brainly.com/question/22624805

#SPJ2

Answer:

Step-by-step explanation:

h = 40 tan 32° + 40 tan 42° ≈ 61.0 m

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Answers

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