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2 years ago

Solve the equation for all values of x in simplest form (x + 3)^2 = -16

Mathematics

1 answer:

Arlecino [84]2 years ago

6 0

Answer:

x = -7 or x = 1

Step-by-step explanation:

Given expression:

(x + 3)² = -16

Problem;

Solve for x;

Solution:

To solve for x; we use the factorization method;

Take -16 to the left of the equation;

(x + 3)² = -16

(x + 3)² + 16 = 0

(x+ 3)² + 4² = 0

if x² + y² = (x + y)(x - y)

So;

(x + 3 + 4) (x + 3 - 4) = 0

(x + 7)(x - 1) = 0

x + 7 = 0 or x - 1 = 0

x = -7 or x = 1

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Answer:

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3 years ago

What is the slope? helpppp?

EleoNora [17]

Answer:

slope: -(9/8)

y-intercept: 7

equation: y = -(9/8)x + 7

Step-by-step explanation:

Solve for the slope.

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (8 , -2)

(x₂ , y₂) = (0 , 7)

Plug in the corresponding numbers to the corresponding variables:

m = (7 - (-2))/(0 - 8)

m = (7 + 2)/(0 - 8)

m = 9/-8

Your slope is -(9/8)

Solve for the y-intercept. Plug in your slope into the slope intercept form:

y = mx + b

Let:

(x , y) = (0 , 7) & m = -(9/8)

Plug in the corresponding numbers to the corresponding variables:

7 = -(9/8)(0) + b

Simplify:

7 = (-9/8 * 0) + b

7 = (0) + b

b = 7

Your y-intercept is 7.

7 0

2 years ago

Now imagine that instead of walking along the path 1→2→3→4→1, ann walks 80 meters on a straight line 33∘ north of east starting

stealth61 [152]

Answer:

Anna's walk as a vector representation is $80\cos 33^{\circ}\hat{i}+80 \sin33^{\circ}\hat{j}$ and refer attachment.

Step-by-step explanation:

Let the origin be the point 1 from where Ann start walking.

Ann walks 80 meters on a straight line 33° north of the east starting at point 1 as shown in figure below,

Resolving into the vectors, the vertical component will be 80Sin33° and Horizontal component will be 80Cos33° as shown in figure (2)

Ann walk as a vector representation is $80\cos 33^{\circ}\hat{i}+80 \sin33^{\circ}\hat{j}$

Thus, Anna's walk as a vector representation is $80\cos 33^{\circ}\hat{i}+80 \sin33^{\circ}\hat{j}$

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2 years ago

Read 2 more answers

2. Order 3.3,3.19,3 1/5,3 1/3.

cricket20 [7]

2.
$3\frac15=3.2\\ 3\frac13=3.33333...$

$3.19, \ \ \ 3\frac15, \ \ \ 3.3, \ \ \ 3\frac13$

3.
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4.
$\frac{600g}{3kg}=\frac{600g}{3000g}=\frac{600g}{5\cdot600g}=\frac15$
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7.
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8.
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10.
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12.
$8\frac14 \ h= 8h \ 15min$
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3 years ago

Write the ratio in simplest form. 12 DVDS to 10 books.

e-lub [12.9K]

Answer:

6:5

Step-by-step explanation:

divide both numbers by using gcd/ greatest common divisor

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=6:5

please mark me as brainliest!!! Good luck with your tests!

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2 years ago