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2 years ago

What are the solutions to the equation 3x²+15x=18

Mathematics

2 answers:

ANEK [815]2 years ago

8 0

X=-6
that’s what i got
lmk if it’s correct

mixer [17]2 years ago

7 0

Answer:

x = 1 or x = −6

Step-by-step explanation:

Step 1: Subtract 18 from both sides.

3x2+15x−18=18−18

3x2+15x−18=0

Step 2: Factor left side of equation.

3(x−1)(x+6)=0

Step 3: Set factors equal to 0.

x−1=0 or x+6=0

x=1 or x=−6

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write an equation for a circle with a diameter that has endpoints at (-4, -7) and (-2, -5). round to the nearest tenth if necess

andrezito [222]

Answer:

The answer to your question is (x + 3)² + (y + 6)² = 2

Step-by-step explanation:

Endpoints (-4, -7) and (-2, -5)

Process

1.- Find the length of the radius

d = $\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }$

d = $\sqrt{(-2 + 4)^{2}+ (-5 + 7)^{2} }$

d = $\sqrt{2^{2} + 2^{2} }$

d = $\sqrt{4 + 4}$

d = $\sqrt{8}$

Radius = $\frac{\sqrt{8} }{2}$ = $\sqrt{2}$

2.- Find the center

Xm = $\frac{-4 - 2}{2} = \frac{-6}{2} = -3$

Ym = $\frac{-7 - 5}{2} = \frac{-12}{2} = -6$

Center = (-3, -6)

3.- Write the equation

(x - h)² + (y - k)² = r²

(x + 3)² + (y + 6)² = ( $\sqrt{2}$ )²

(x + 3)² + (y + 6)² = 2

3 0

3 years ago

WILLGIVEBRAINLIEST,THANKS,5STARS!<br> PLEASE HELP!<br> PLEASE EXPLAIN IN DEPTH!

bearhunter [10]

<h3>Answer:</h3>

x=2

<h3>Solution:</h3>

In order to isolate x, we should first of all take the square root of both sides.
If we take the square root of the left-hand side, we will get
$x-\displaystyle\frac{1}{2}$
How about the right-hand side? Well, we should take the square root of the numerator (9) and the denominator (4)
So we have
$x-\displaystyle\frac{1}{2} =\frac{3}{2}}$
Move -1/2 to the right:
$x=-\displaystyle\frac{3}{2} +\frac{1}{2}$
$x=\displaystyle\frac{4}{2}$
x=2