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2 years ago

11

a system of two linear equations is graphed on a coordinate plane. if the system of equations has infinitely many solutions, whi

ch statement must be true

1 answer:

Tamiku [17]2 years ago

5 0

Answer:

Their slopes and y-intercepts are the same

Step-by-step explanation:

For example:

y=3x+5

y=3x+5

3x+5=3x+5

3x=3x

x=x

Thus, there's infinitely many solutions

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What is the solution of the equation? 3 = b 3<br> a. 9<br> b. 6<br> c. 1<br> d. 0

weqwewe [10]

If 3 = (b x 3)
C. 1
Substitute b for the answer choices so
9 x 3 = 27
6 x 3 = 18
1 x 3 = 3
0 x 3 = 0

3 0

2 years ago

Can someone please help me with these questions?

Dmitrij [34]

Expanded form is writing out everything and no simplifying.

A. c times c

B. t times t times t times t

C. 2 times x times x times x

D. 4 times 4 times h times h

E. 2 times 2 times 2 times l times l times l

F. a times a times a + 7 times b times b

Hope this helps :)

8 0

2 years ago

Find e^cos(2+3i) as a complex number expressed in Cartesian form.

ozzi

Answer:

The complex number $e^{\cos(2+31)} = \exp(\cos(2+3i))$ has Cartesian form

$\exp\left(\cosh 3\cos 2\right)\cos(\sinh 3\sin 2)-i\exp\left(\cosh 3\cos 2\right)\sin(\sinh 3\sin 2)$ .

Step-by-step explanation:

First, we need to recall the definition of $\cos z$ when $z$ is a complex number:

$\cos z = \cos(x+iy) = \frac{e^{iz}+e^{-iz}}{2}$ .

Then,

$\cos(2+3i) = \frac{e^{i(2+31)} + e^{-i(2+31)}}{2} = \frac{e^{2i-3}+e^{-2i+3}}{2}$ . (I)

Now, recall the definition of the complex exponential:

$e^{z}=e^{x+iy} = e^x(\cos y +i\sin y)$ .

So,

$e^{2i-3} = e^{-3}(\cos 2+i\sin 2)$

$e^{-2i+3} = e^{3}(\cos 2-i\sin 2)$ (we use that $\sin(-y)=-\sin y)$ .

Thus,

$e^{2i-3}+e^{-2i+3} = e^{-3}\cos 2+ie^{-3}\sin 2 + e^{3}\cos 2-ie^{3}\sin 2)$

Now we group conveniently in the above expression:

$e^{2i-3}+e^{-2i+3} = (e^{-3}+e^{3})\cos 2 + i(e^{-3}-e^{3})\sin 2$ .

Now, substituting this equality in (I) we get

$\cos(2+3i) = \frac{e^{-3}+e^{3}}{2}\cos 2 -i\frac{e^{3}-e^{-3}}{2}\sin 2 = \cosh 3\cos 2-i\sinh 3\sin 2$ .

Thus,

$\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2-i\sinh 3\sin 2\right)$

$\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2\right)\left[ \cos(\sinh 3\sin 2)-i\sin(\sinh 3\sin 2)\right]$ .

5 0

2 years ago

HELP MEEEEEEEE PLEASE

4vir4ik [10]

Answer:

Option A (3/4)

Step-by-step explanation:

Please mark Brainliest

5 0

2 years ago

Read 2 more answers

In one study, it was found that the correlation coefficient between two variables is -0.98. Which statement is true?

Vadim26 [7]

<u>Answer- </u>D. There is a strong negative association between the variables

<u>Solution-</u>

Properties of Correlation Coefficient

1- Its value ranges between -1 and 1.

2- The greater the absolute value of correlation coefficient, the stronger is the linear relationship.

3- The weakest linear relationship is indicated by a correlation coefficient equal to 0.

4- A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.

5- A negative correlation means that if one variable gets bigger, the other variable tends to get smaller.

As the given correlation coefficient is -0.98 (-ve), whose absolute value is 0.98 (closer to 1)

So there is a strong negative association between the variables.

3 0

2 years ago