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3 years ago

Solve |x + 4| - 5 =6.

Mathematics

1 answer:

dedylja [7]3 years ago

4 0

Answer:

The answer is x =7 and x= - 15

Explanation

$|x + 4| - 5 = 6 \\ |x + 4| = 6 + 5 \\ |x + 4| = 11 \\ x + 4 = 11 \: \:and \: \: x + 4 = - 11 \\ x = 11 - 4 \: \: and \: \: x = - 11 - 4 \\ x = 7 \: \: and \: \: x = - 15$

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What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?

yawa3891 [41]

The equation of circle is:
(x-a)^2+(y-b)^2=r^2 where C(a, b) is the center.
In order to find r you have to find the distance between C(-2, 1) and let's say A(-4, 1)

The formula for distance is:
$\sqrt{ ( y_{A}-y_{C )^{2} + (x_{A}- x_{C )^{2} }$
r = 2

The equation of circle is
(x+2)^2+(y-1)^2=4

I hope that this is the answer that you were looking for and it has helped you.

5 0

3 years ago

Will mark brainliest if right and you show your work!

Anna007 [38]

Answer:

(x - 5)(x + 8)

Step-by-step explanation:

Your equation is: x² + 3x - 40

1. Factor the quadratic

(a) Find two numbers that multiply to give -40 and add to give 3.

List the positive factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

One of the numbers must be negative. Start with the numbers near the middle of the list.

By trial and error, you will find that +8 and -5 work:

-5 × 8 = -40 and -5+8 = 3

(b) Rewrite 3x as -5x + 8x

x² - 5x + 8x - 40

(c) Factor the first two and the last two terms

x(x - 5) + 8(x - 5)

(d) Separate the common factor

x² + 3x - 40 = (x - 5)(x + 8)

2. Using Desmos

You can plot the equation with Desmos.

You get a parabola with x-intercepts at x = -8 and x = 5.

These are the solutions to

x + 8 =0 and x - 5 = 0, so

x² + 3x - 40 = (x+ 8)(x - 5)

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3 years ago

Given: 1 and 2 are supplements, and 3 and 2 are supplements.

Ronch [10]

The correct answers are:

Supplementary; ∠2 and ∠3; substitution; 2.

Explanation:

Supplementary angles are angles whose measures sum to 180°. Thus this is the first answer.

Since we are told that ∠2 and ∠3 are supplementary, their measures sum to 180° and they are the second answer.

We know that m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°. We can substitute "m∠2 + m∠3" for 180° in the first equation; this is the substitution property.

To isolate m∠1 on the right, we will subtract m∠2 from each side, and get that m∠1 = m∠3 and the angles are congruent.

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3 years ago

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Tanya [424]

Answer:

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Schach [20]

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