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3 years ago

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The difference between two trinomials is 5x2 + 11x − 16. If one of the trinomials is 3x2 − 2x + 7, then which expression could b

e the other trinomial?

2 answers:

vredina [299]3 years ago

7 0

Answer:

$2x^2+13x-23$

Step-by-step explanation:

The first trinomial is

$3x^2-2x+7$

Let the other trinomial be P.

Then

$P+3x^2-2x+7=5x^2+11x-16$

We make P the subject to obtain,

$P=5x^2-3x^2+11x+2x-16-7$

We simplify to obtain,

$P=2x^2+13x-23$

Hence the other trinomial is $2x^2+13x-23$

Nana76 [90]3 years ago

4 0

Answer:

other trinomial is ( 8x² + 9x - 9 )

Step-by-step explanation:

The difference between two trinomials is 5x² + 11x - 16.

If one of the trinomials is 3x² - 2x + 7 then we have to find the other trinomial.

Let the other trinomial is T.

Then T - ( 3x² - 2x + 7 ) = 5x² + 11x - 16

T = ( 5x² + 11x - 16 ) + ( 3x² - 2x + 7 )

= 5x² + 11x - 16 + 3x² - 2x + 7

= ( 5x² + 3x² ) + ( 11x - 2x ) - ( 16 - 7 )

= 8x² + 9x - 9

Therefore, other trinomial is ( 8x² + 9x - 9 )

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Andrei [34K]

Answer:

See below...

Step-by-step explanation:

For a function whose formula is in this pattern:

$y=A\sin\left(B(x-C)\right)$

Amplitude: $|A|$

Period: $\frac{2\pi}{B}$

Phase Shift: C

In this question, $A=4,\,B=2,\,C=\frac{3\pi}{4}$

Amplitude: 4

Period: $\frac{2\pi}{2}=\pi$

Phase Shift: $\frac{3\pi}{4}$

There is no vertical shift, so the midline is the x-axis whose equation is y = 0.

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The graph is attached.

6 0

2 years ago

Does anyone know how to do this?

sineoko [7]

Answer:

$\boxed{\tt x=\sqrt{85} }$

Step-by-step explanation:

When making a right triangle with 2 points, the distance is the hypotenuse which can be represent as "x"

To find the distance we can use the Pythagorean theorem.

$\boxed{{\tt a^2+b^2=c^2}}$

→ $\tt a=9$

→ $\tt b=2$

→ $\tt c=x$

<u>Let's Plug in the side lengths:</u>

$\tt 9^2+2^2=x^2$

<u>Evaluate 9²= </u><u>81</u><u> and 2²= </u><u>4</u><u>:</u>

$\tt 81+4=x^2$

<u>Now, add 81+4= 85</u>

$\tt 85=x^2$

<u>Take the square root of both sides:</u>

$\tt x=\sqrt{85}$

_____________________________

5 0

2 years ago

Which number has the same value as 20 tens

barxatty [35]

200 has the same value as 20 tens beucase 20*10=200

4 0

3 years ago

Give the equation for a circle with the given center and radius.Center at (-10, -4), radius = 5A. (x−10)^2+(y−4)^2=25B. (x−4)^2+

BaLLatris [955]

$D)(x+10)^2+(y+4)^2=5^2=25$

Explanation

Step 1

We know that the general equation for a circle is

$\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ \end{gathered}$

where

(h,k) is the center of the circel

and r is the radius

then, all we need to do is replace

Let

$\begin{gathered} \text{center}\Rightarrow(h,k)\Rightarrow(-10,-4) \\ \text{radius}\Rightarrow r\Rightarrow5 \end{gathered}$

replace the values

$\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ (x-(-10))^2+(y-(-4))^2=5^2 \\ (x+10)^2+(y+4)^2=5^2=25 \end{gathered}$

therefore, the answer is

$D)(x+10)^2+(y+4)^2=5^2=25$

I hope this helps you

7 0

1 year ago

Derrick earned $1472during the 4 weeks he had his summer job.if he earned the same amount each week,how much did he earn each we

valkas [14]

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hope this helps!!

8 0

3 years ago