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4 years ago

The function f(x) = x2 - 5x - 6, written

Mathematics

1 answer:

yulyashka [42]4 years ago

8 0

Answer:

Step-by-step explanation:

Given

f(x) = x² - 5x - 6

To find the zeros let f(x) = 0, that is

x² - 5x - 6 = 0

Consider the factors of the constant term (- 6) which sum to give the coefficient 0f the x- term (- 5)

The factors are - 6 and + 1, since

- 6 × 1 = - 6 and - 6 + 1 = - 5, thus

(x + 1)(x - 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 6 = 0 ⇒ x = 6

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Find the segment length indicated. Assume that lines which appear to be tangent are tangent.

Triss [41]

Answer:

Part 1) The segment length indicated is $6.4\ units$

Part 2) The segment length indicated is $19\ units$

Step-by-step explanation:

Let

x------> the segment length indicated

Part 1)

Applying the Pythagoras Theorem

$(13+x)^{2}=13^{2}+14.4^{2}\\ \\ (169+26x+x^{2})=169+207.36\\ \\x^{2}+26x-207.36=0$

Solve the quadratic equation by graphing

The solution is $x=6.4\ units$

see the attached figure N 1

Part 2)

Applying the Pythagoras Theorem

$x^{2} =11.4^{2}+(7.6+7.6)^{2}\\ \\ x^{2}=129.96+231.04\\ \\x^{2}=361\\ \\x=19\ units$

5 0

4 years ago

476 = 353 555= 432 689 = 566 238 = ?

ANEK [815]

Answer:

ANSWER:

476=353,555-432,238=115,687=564

EXPLAIN MY ANSWERS

SUBSTRACTION FORMULA

1. 476-353-123

2. 555-432=123

3. 238-115-123

4. 687-564=123

ADDITIONAL FORMULA

1. 353+123=476

2.432+123-555

3.155+123=238

4.564+123=687

Check Kar Lena apne calculator me

5 0

2 years ago

If perimeter of rectangle is 344 yards the length is 8 what is the dimension

Sergio [31]

Dimension= width

So,

344/8= 43

The "width" or dimension, is 43.

I hope this helps!
~cupcake

4 0

4 years ago

An aerial photograph from a U-2 spy plane is taken of a building suspected of housing nuclear warheads. When the photograph is t

NISA [10]

Answer:

Building is 56.58 feet long.

Step-by-step explanation:

Consider the provided information.

An aerial photograph from a U-2 spy plane is taken of a building suspected of housing nuclear warheads.

When the photograph is taken, the angle of elevation of the sun is 30°.

By comparing the shadow cast by the building in question to the shadows of other objects of known size in the photograph, scientists determine that the shadow of the building in question is 98 feet long.

As we know: $\tan\theta=\frac{opp}{adj}$

The value of tan 30 degrees is $\frac{1}{\sqrt{3} }$

$\tan30=\frac{h}{98}$

$\frac{1}{\sqrt{3}}=\frac{h}{98}$

$h=\frac{98}{\sqrt{3}}$

$h=56.58$

Hence, Building is 56.58 feet long.

8 0

4 years ago

GUYS PLEASE HELP ME ASAP PLEASE!!!

Art [367]

Answer:

Hey look you just multiply 9 with one and 4 with one then you get 9/2+4/2=13/2

Step-by-step explanation:

4 0

4 years ago