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3 years ago

-x²-8x-16=0 what is the solutions by solving by quadratic equations

Mathematics

1 answer:

Alika [10]3 years ago

6 0

Answer:

x = - 4

Step-by-step explanation:

Given

- x² - 8x - 16 = 0 ( multiply through by - 1 to clear the leading negative )

x² + 8x + 16 = 0 ← this is a perfect square

(x + 4)² = 0 ( take the square root of both sides )

x + 4 = 0 ( subtract 4 from both sides )

x = - 4

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What is the surface area of the prism?

Sever21 [200]

Answer:

Question 3: 582 ft²

Question 4: 348 in²

Step-by-step Explanation:

Question 3:

Consider the solid shape given as being consisting of two rectangular prism. With careful examination, you'd observe that the offer one beneath has dimensions, $l, w, h, as 15, 4, 9$

The second one has $l, w, h, as 6, 4, 6$

Surface area of the bigger rectangular prism = total surface area - area of the surface that is joined to the smaller rectangular prism.

Area of the face joined to the smaller rectangular prism = 4*6 = 24 ft²

Surface area of the bigger rectangular prism = $2(wl + hl + hw) - 24$

$2(4*15 + 9*15 + 9*4) - 24$

$462 - 24$

Surface area of the bigger rectangular prism = 438 ft²

Surface area of the smaller rectangular prism = total surface area of rectangular prism - area of the surface that is joined to the bigger rectangular prism.

= $2(wl + hl + hw) - 24$

$= 2(4*6 + 6*6 + 6*4) - 24$

$= 168 - 24 = 144 ft^2$

<em><u>Surface area of the solid = 438 + 144 = 582 ft²</u></em>

Question 4:

Surface area of the triangular prism is given as: 2(B.A) + P*L

Where,

B.A = area of 1 triangular base = ½*height of the triangle*base of the traingle

B.A = ½*6*16 = 3*16 = 48 in²

P = perimeter of 1 triangular base = sum of all sides of the triangle.

P = 16+10+10 = 36 in

L = length or height of prism =

Plug in the values to find surface area of the prism

Surface area = 2(B.A) + P*L

= 2(48) + 36*7 = 96 + 252 = 348 in²

<em><u>Surface area of prism = 348 in²</u></em>

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3 years ago

Which label on the cone below represents the radius?

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Answer:

the radius found on the letter c

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3 years ago

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ValentinkaMS [17]

Answer:

Step-by-step explanation:

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spring 25%

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3 years ago

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A spotlight can be adjusted to effectively light a circular area of up to 6 meters in diameter. To the nearest tenth, what is th

levacccp [35]

You would find the radius by halving the diameter. Then you use the equation
$\pi \: r { }^{2} =$
and you get about 28.2 meters.

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3 years ago

Write additive and multiplicative inverse of19/-6 and-2/3<br>

Sedbober [7]

<h2>Answer:</h2>

Additive inverse of 19/-6 is 19/6

Additive inverse of -2/3 is 2/3

Multiplicative inverse of 19/-6 is -6/19

Multiplicative inverse of -2/3 is 3/-2 (also written as -3/2)

<h2>Step-by-step explanation:</h2>

(a) The additive inverse of a number is that number that when added to it gives 0.

For example, the additive inverse of x is -x.

This is because adding -x to x gives 0. i.e

x + (-x) = 0

In other words, the additive inverse of a number is the negative of that number.

Given:

(i) 19/-6

The additive inverse of 19/-6 is the <em>negative</em> of 19/-6 which is -(19/-6).

-(19/-6) then gives 19/6

Therefore, the additive inverse of 19/-6 is 19/6

(ii) -2/3

The additive inverse of -2/3 is the <em><u>negative</u></em> of -2/3 which is -(-2/3).

-(-2/3) then gives 2/3

Therefore, the additive inverse of -2/3 is 2/3

(b) The multiplicative inverse of a number is that number that when multiplied by it gives 1.

For example, the multiplicative inverse of y is 1/y.

This is because multiplying y by 1/y gives 1. i.e

y x (1/y) = 1

In other words, the multiplicative inverse of a number is the reciprocal of that number.

Given:

(i) 19/-6

The multiplicative inverse of 19/-6 is the <em>reciprocal</em> of 19/-6 which is 1/(19/-6).

1 / (19/-6) then gives -6/19

This is found by just swapping the numerator(19) and the denominator(-6)

Therefore, the multiplicative inverse of 19/-6 is -6/19

(ii) -2/3

The multiplicative inverse of -2/3 is the <em>reciprocal</em> of -2/3 which is 1/(-2/3).

1 / ( -2/3) then gives 3/-2

This is found by just swapping the numerator(-2) and the denominator(3)

Therefore, the multiplicative inverse of -2/3 is 3/-2 (also written as -3/2).

4 0

3 years ago

-x²-8x-16=0 what is the solutions by solving by quadratic equations ​

-x²-8x-16=0 what is the solutions by solving by quadratic equations