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3 years ago

Find the equation of the graphed line.

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

5 0

example: the line is y = ax + b

The line go through 2 points ( -4 ; 0 ) and ( 0 ; -2 )

So:

-2 = 0a + b => b = -2
0 = -4a + (-2) => a = 2/-4 = -1/2

The line is y = -1/2x - 2 ( i'm not sure)

Answer: a

Ok done. Thank to me :>

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I FREAKING NEED HELPPP!!!

Ratling [72]

Answer:

$\boxed{\begin{bmatrix} 3 & - 1 \\ - 3 & 4\end{bmatrix} = 12 - 3 = \boxed{9} }\\ \\ \boxed{\begin{bmatrix} -12 & - 1 \\ 12 & 5\end{bmatrix} = - 60- ( - 12) = \boxed{ - 48}} \\ \\ \boxed{\begin{bmatrix} 0& - 1 \\ 17 & 4\end{bmatrix} = 0 -( - 17 )= \boxed{17}} \\ \\\boxed{ \begin{bmatrix} 8& - 1 \\ - 4 & - 1\end{bmatrix} = - 8 - 4 = \boxed{ - 12} }\\ \\ \boxed{\begin{bmatrix} 2 & - 1 \\ 2 & - 1\end{bmatrix} = - 2 - ( - 2) = \boxed{0}} \\ \\ \boxed{ \begin{bmatrix} 1 & 0\\ 0 &1\end{bmatrix} = 1 - 0 = \boxed{1}}$

Step-by-step explanation:

$the \: determinant \: of \: a \: matrix : A \to\\If \: A =\begin{bmatrix} x & y \\ a & b \end{bmatrix} \: then : \\ its \: determinant \: is \: givn \: by \to \\ |A| = (b \times x) - (a \times y) \\ \boxed{|A| = bx - ax}$

♨Rage♨

5 0

3 years ago

A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 35 adult Americans an

Y_Kistochka [10]

Answer: a) 15, b) 1.

Step-by-step explanation:

A researcher studying public opinion of proposed social security changes obtains a simple random sample of 35 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more Americans does the researcher need to sample in the following cases?

(a) 10% of all adult Americans support the changes

Here, $np>5\ and\ n(1-p)>5$

And , $p=0.10$

So, consider the equality, to find the value of 'n'.

$np=5\\\\n\times 0.10=5\\\\n=\dfrac{5}{0.10}\\\\n=50$

So, there are $50-35=15$ more adult Americans needed.

(b) 15% of all adult Americans supports the changes

Here, $p=0.15$

So, again we get that

$np=5\\\\n\times 0.15=5\\\\n=\dfrac{5}{0.15}\\\\n=33.33\\\\n\approx 34$

So, there are $35-34=1$ more adult Americans needed.

Hence, a) 15, b) 1.

5 0

3 years ago

Please solve the system of equations below thank you<br> explain if u can

ivanzaharov [21]

First let’s try to cancel out the x
5x + -5x = 0
Add the y and the numbers together
-3y + -2y = -5y
26 + -16 = 10
-5y = 10
y = -2
Use y=-2 in one of the equations
-3(-2) + 5x = 26
6 + 5x = 26
5x = 20
X = 4

So
Y= -2
X= 4

https://mathsmadeeasy.co.uk/gcse-maths-revision/simultaneous-equations-gcse-maths-revision/

Check this link out for more help!

7 0

2 years ago

there are 720 children in our school. 5/8 of them have dark hair. How many children have blonde or red hair?

Inessa05 [86]

<span>Assuming that the red and blonde hair are considered the 3/8ths of the school with light hair, 270 children in the school have red or blonde hair.</span>

7 0

3 years ago

15. Over what range of angles does the value of sin(O) consistently increase?

Ronch [10]

Answer:

D. 0° to 90°

Step-by-step explanation:

If we see curve of sin(o) on coordinate, we will notice that value of sin curve increases from 0 to 90 degrees and then decreases from 90 to 180 degrees.

Hence option D is correct.

Alternatively

we see that

sin 0 = 0

sin 30 = 1/2

sin 45 = 1/ $\sqrt{2}$

sin 60 = $\sqrt{3} /2$

sin 90 = 1

Thus, we see that value of sin is increasing from 0 to 90

now lets see value of sin from 90 to 180

sin 90 = 1

sin 120 = $\sqrt{3} /2$

sin 135 = 1/ $\sqrt{2}$

sin 150 = 1/2

sin 180 = 0

Thus, we see that value of sin is decreasing from 90 to 180.

8 0

3 years ago