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3 years ago

14

Examine the quadratic equation 9x^2+12x +4= 0.

1 answer:

mestny [16]3 years ago

4 0

Answer:

See answers and explanations

Step-by-step explanation:

A) Discriminant = b² - 4ac = (12)² - 4(9)(4) = 144 - 144 = 0

B) Since the discriminant is 0, this means the equation only has one root.

C) The root is real in this case since the discriminant is not negative. Otherwise, we would have two imaginary roots if it were (remember that complex roots come in pairs)

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Pie

Answer:

$7.10

Step-by-step explanation:

Step 1: We make the assumption that 35.5 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=35.5$.

Step 4: In the same vein, $x\%=20$.

Step 5: This gives us a pair of simple equations:

$100\%=35.5(1)$.

$x\%=20(2)$.

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Hope this helps <3

3 0

3 years ago

Read 2 more answers

The components of vector are ax and ay (both positive), and the angle that it makes with respect to the positive x axis is θ. Fi

Andru [333]

we can use formula

$\theta=tan^{-1}(\frac{a_y}{a_x})$

(a)

we are given

$a_x=12,a_y=12$

now, we can plug values

$\theta=tan^{-1}(\frac{12}{12})$

$\theta=tan^{-1}(1)$

$\theta=\frac{\pi}{4}rad$

(b)

we are given

$a_x=20,a_y=12$

now, we can plug values

$\theta=tan^{-1}(\frac{12}{20})$

$\theta=tan^{-1}(\frac{3}{5})$

$\theta=30.96^{\circ \:}$

(c)

we are given

$a_x=12,a_y=20$

now, we can plug values

$\theta=tan^{-1}(\frac{20}{12})$

$\theta=tan^{-1}(\frac{5}{3})$

$\theta=59.03^{\circ \:}$

6 0

3 years ago

(2x+2y)+(3y-5x) EIHOIVHNVIHVIOE

Nina [5.8K]

$\huge\textsf{Hey there!}$

$\large\text{(2x + 2y) + (3y - 5x)}$

$\rightarrow\large\text{2x + 2y + 3y - 5x }$

$\large\textsf{COMBINE the LIKE TERMS}$

$\large\text{(2x - 5x) + (2y + 3y)}$

$\large\text{2x - 5x = \boxed{\bf -3x}}$

$\large\text{-3x + (2y + 3y)}$

$\large\text{2y + 3y = \boxed{\bf 5y}}$

$\large\text{\bf -3x + 5y}$

$\boxed{\boxed{\large\textsf{Answer: \huge \bf -3x + 5y}}}\huge\checkmark$

$\large\textsf{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

4 0

3 years ago

Read 2 more answers

Select the correct answer

Basile [38]

Answer:

option b is the answer

Step-by-step explanation:

3 0

2 years ago

A paper company produces 675,000 tissues and 1,250 boxes in 5 days.

SashulF [63]

The tissue production unit rate is _675000/5=135000_ tissues per day. <span>

<span>The box production unit rate is_1250/5=250_ boxes per day. </span>

<span>The paper company produces_135000/250=540_ times as many tissues per day as boxes per day. </span></span><span>

</span>

4 0

3 years ago