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3 years ago

Factor the trinomial x^2 + 6x - 27

Mathematics

2 answers:

krek1111 [17]3 years ago

5 0

If you factor the trinomial using the AC method the answer would be

(x-3)(x+9)

IceJOKER [234]3 years ago

5 0

Answer: (x + 9)(x - 3)

Step-by-step explanation: Since the constant term is negative, it can be factored as a positive times a negative. The factors of -27 that add to +6 are +9 and -3. The answer therefore is (x + 9)(x - 3).

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Find the perimeter of angle ABC with verticals A(1,-6), B(1,-3) and C(-4,-6)

disa [49]

Answer:

its 13.83

Step-by-step explanation:

Use the distance formula and plug them in

6 0

3 years ago

A painter is standing on a ladder that is leaning against a building. The angle of elevation of the ladder is 44 degrees. The he

Lena [83]

Answer:

Answer is well defined in the image 115.16 feet

Step-by-step explanation:

For the value of sin44 degrees use your calculator to calculate the value.

If you have any doubts write in comments box.

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

7 0

3 years ago

Please help me please

zloy xaker [14]

Answer:

they are identical. proved below.

Step-by-step explanation:

formula: $sin(t)+sin(s) = 2sin(\frac{t+s}{2} )cos(\frac{t-s}{2} )$

using the formula to proof:

$sin9a+sin5a$

$2sin(\frac{9+5}{2})* cos(\frac{9-5}{2})$

$2sin7a * cos2a$

True. proved that they are identical.

7 0

2 years ago

Two numbers have the same digits in the millions period, The same digits in the thousands period, and the same digits in the one

hjlf

Not unless the digits in each period are also in the same order. That is, the digit in each PLACE must be the same.

5 0

3 years ago

Surface Area of the pyramid

hichkok12 [17]

Answer:

Step-by-step explanation:

the total surface area of such a pyramid is the sum of 5 areas :

1 bottom square (8×8)

4 side triangles

the area of a triangle is

baseline × height / 2

now, we know the baseline of the 4 triangles, but what is their height (at least we know, all 4 have the same height, as the pyramid is totally regular) ?

the height of the side triangles is the slant height of the pyramid (the distance from the middle of a sideline to the top of the pyramid).

we get this by imagining a right-angled triangle inside the pyramid :

one leg is the inner height of the pyramid.

the second leg is the connection on the bottom square from the base of the inner height to the middle point of a sideline). this is half the length of a sideline.

and the baseline (Hypotenuse) is the slant height of the pyramid.

we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse (side opposite of the 90° angle).

slant height² = 7² + (8/2)² = 49 + 4² = 49 + 16 = 65

slant height = sqrt(65) = 8.062257748... in

so, we get a areas

bottom square = 8×8 = 64 in²

a side triangle = 8×sqrt(65)/2 = 4×sqrt(65) =

= 32.24903099... in²

all 4 side triangles = 4×32.24903099... =

= 128.996124... in²

and we get as total surface area

64 + 128.996124... = 192.996124... in² ≈ 193.00 in²

8 0

2 years ago