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Lemur [1.5K]
3 years ago
15

A.

Mathematics
1 answer:
azamat3 years ago
5 0

Answer:

THe answer is a

Step-by-step explanation:

the answer is a

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Triangle ABC has been rotated 90° to create triangle DEF. Write the equation, in slope-intercept form, of the side of triangle A
Ket [755]

the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1

<h3>How to determine the equation</h3>

From the figure given, we can deduce the coordinates of the sides

For A

A ( 4,2)

For B

B ( 4, 5)

C ( 1, 2)

D ( 2, -4 )

E  ( 5, -4)

F ( 2, -1)

The slope for BC

Slope = \frac{y2 - y1}{x2 - x1}

Substitute the values for both B and C coordinates, we have

Slope = \frac{2- 5}{1 - 4}

Find the difference for both the numerator and denominator

Slope = \frac{-3}{-3}

Slope = 1

We have the rotation for both point ( 0, 1)

y - y1 = m ( x - x1)

The values for y1 and x1 are 1 and 0 respectively and the slope m is 1

Substitute the values

y - 1 = 1 ( x - 0)

y - 1 = x

Make 'y' the subject of formula

y = x + 1

Thus, the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1

Learn more about linear graphs here:

brainly.com/question/4074386

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4 0
2 years ago
I'm so confused please helpppppppp<br><br> How is C correct please show your work
777dan777 [17]

Answer:

Step-by-step explanation:

She makes $325 a week, so go to the 8th row, for weekly income of $300 to $400.  She claims 2 exemptions, so go to the third column labeled 2.  The value is 2.  That means the $2 is withheld from her paycheck on top of the 6.25% for FICA.  The total is therefore:

$2 + (0.0625) ($325)

$22.3125

Rounded to the nearest cent, that's $22.31.

3 0
3 years ago
Solve for d.<br> 3d - d - 1 = 5<br><br> HELP
Alina [70]

Answer:

d=3

Step-by-step explanation:

4 0
3 years ago
What is DE? Put the answer below.<br><br> DE =
FinnZ [79.3K]

Answer:

DE = 55

Step-by-step explanation:

As you can see from the red marks showing that the lengths of each triangle are the same, it must also be true that E is equal to 55.

4 0
3 years ago
The minimum value of Y in the equation y = x2 - 6x + 8
murzikaleks [220]

Given

y=x^2-6x+8

To obtain the minimum value of y, we first take the derivative of y

The derivative of y is:

y^{\prime}=2x-6

Equating

y^{\prime}\text{ = 0}

gives the minimum value we require.

Doing that, we have:

2x-6=0

So that

\begin{gathered} 2x=6 \\ x=\frac{6}{2} \\ =3 \end{gathered}

Therefore, the minimum value is x = 3

8 0
1 year ago
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