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3 years ago

Use the discriminant to determine how many real number solutions exist for the quadratic equation –4j^2 + 3j – 28 = 0

1 answer:

8 0

$\bf \begin{array}{lcccll}
& -4j^2& +3j& -28\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad \qquad discriminant\implies b^2-4ac
\\\\\\
(3)^2-4(-4)(-28)=
\begin{cases}
0&\textit{one solution}\\
positive&\textit{two solutions}\\
negative&\textit{no solution}
\end{cases}$

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SIZIF [17.4K]

Answer:good luck yo

Step-by-step explanation:2 times 5

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3 years ago

Help!!!!! It’s due in 1 hour!!

AlekseyPX

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3 years ago

Write the equation of the line that is perpendicular to 3x + 7y = 15 and passes through (4, 9)

k0ka [10]

Answer:

7x - 3y = 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x + 7y = 15 into this form

Subtract 3x from both sides

7y = - 3x + 15 ( divide all terms by 7 )

y = - $\frac{3}{7}$ x + $\frac{15}{7}$ ← in slope- intercept form

with slope m = - $\frac{3}{7}$

Given a line with slope m the the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{3}{7} }$ = $\frac{7}{3}$ , thus

y = $\frac{7}{3}$ x + c ← is the partial equation of the line

To find c substitute (4, 9) into the partial equation

9 = $\frac{28}{3}$ + c ⇒ c - $\frac{1}{3}$

y = $\frac{7}{3}$ x - $\frac{1}{3}$ ← in slope- intercept form

Multiply through by 3

3y = 7x - 1 ( subtract 3y from both sides )

0 = 7x - 3y - 1 ( add 1 to both sides )

1 = 7x - 3y, that is

7x - 3y = 1 ← in standard form

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3 years ago

Find the length of the segment with endpoints of (3,2) and (-3,-6).

MakcuM [25]

The formula of the length of the segment AB:
$A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}$
We have:
$A(3;\ 2)\to x_A=3;\ y_A=2\\\\B(-3;\ -6)\to x_B=-3;\ y_B=-6$
Substitute:
$|AB|=\sqrt{(-3-3)^2+(-6-2)^2}=\sqrt{(-6)^2+(-8)^2}\\\\=\sqrt{36+64}=\sqrt{100}=10$
Answer: B) 10.

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4 years ago

Step by step how to solve -2.3x=.46

Igoryamba

<u>-2.3 x = 0.46</u>
Step 1:
Divide each side by -2.3 : x = - 0.46 / 2.3

Step 2:
To simplify the fraction,
divide -0.46 by 2.3 : <em>x = - 0.2
</em>

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3 years ago