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3 years ago

WILL GIVE BRAINLIEST

Mathematics

1 answer:

IrinaK [193]3 years ago

4 0

Slope: 3
Y intercept: 11 or (0,11)
Equation: y = 3x + 11

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Triangle GFH has vertices G(2, –3), F(4, –1), and H(1, 1). The triangle is rotated 270° clockwise using the origin as the center

Rufina [12.5K]

Answer:

See attachment.

Step-by-step explanation:

The given triangle,GFH has vertices G(2, –3), F(4, –1), and H(1, 1).

When this triangle is rotated 270° clockwise using the origin as center of rotation; then the coordinates of the image triangle, G'F'H' can be obtained using the mapping;

$(x,y)\to (-y,x)$

This implies that the new triangle will have vertices at;

G'(3, 2), F'(1, 4), and H'(-1, 1).

The correct choice is shown in the attachment.

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3 years ago

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Select the correct answer.

xxTIMURxx [149]

C , the little 5 at the top represents how many times 7 is multiplied.

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3 years ago

Which of the following matrices is the solution matrix for the given system of equations? x + 5y = 11 x - y = 5

givi [52]

<h2>The required solution is x = 6 and y = 11 </h2>

Step-by-step explanation:

Given system of equations are

x+5y = 11 and x-y =5

$A= \left[\begin{array}{cc}1&5\\1&-1\end{array}\right]$ $X=\left[\begin{array}{c}x\\y\end{array}\right]$

and $B= \left[\begin{array}{c}11\\5\end{array}\right]$

∴AX=B

$adj A = \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]$

$A= \left|\begin{array}{cc}1&5\\1&-1\end{array}\right|=-6$

∴ $A^{-1} =\frac{adj A}{|A|}$

So, $A^{-1} =\frac{ \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]}{-6}$

$A^{-1} ={ \left[\begin{array}{c \c} {{\frac{1}{6} }}&{\frac{5}{6}}\ \\ {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]}$

$X =A^{-1}\times B$

⇒ $\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c \c} {{\frac{1}{6} }}&{\frac{5}{6}}\ \\ {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]} \times \left[\begin{array}{c}11\\5\end{array}\right]$

⇒ $\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c} {6}\\ {11} \end{array}\right]}$

∴ x= 6 and y = 11

The required solution is x = 6 and y = 11

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3 years ago

Asfjpasjfaafdad adsafdshfd

Kay [80]

4020

you're supposed to multiply the length value by 1760

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3 years ago

What is 12x³ – 9x² – 4x + 3 in factored form?<br><br><br><br>(4x-3) (3x²-1) is incorrect by the way.

Lena [83]

Answer:

(4x -3)(√3x -1)(√3x +1)

Step-by-step explanation:

Your factoring is correct for integers. However the quadratic term can be factored further using irrational coefficients. It is the difference of the squares of (√3)x and 1, so can be factored as such.

12x³ -9x² -4x +3 = 3x²(4x -3) -(4x -3) = (3x² -1)(4x -3)

= ((√3)x -1)((√3)x +1)(4x -3) . . . . . . further factoring the difference of squares

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3 years ago