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3 years ago

This is the question

Mathematics

2 answers:

Nana76 [90]3 years ago

6 0

Shape A is congruent to shape F as shown by a reflection across the y-axis and then a translation down 3 units
Shape B is congruent to Shape D as shown by a reflection across the y-axis and then a translation down 2 units

Lubov Fominskaja [6]3 years ago

4 0

Shape A is congruent to shape F and translated down 3
Shape B is congruent to shape D and translated down 2

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Which point is on the line that passes through point Z and is perpendicular to line AB?

tankabanditka [31]

Step 1

Find the slope of the line AB

we know that

the formula to find the slope between two points is equal to

$m=\frac{(y2-y1)}{(x2-x1)}$

we have

$A(-2,4)\\B(0,-4)$

substitute in the formula

$m=\frac{(-4-4)}{(0+2)}$

$m=\frac{(-8)}{(0+2)}$

$m1=-4$

Step 2

Find the slope of the line that passes through point Z and is perpendicular to line AB

we know that

If two lines are perpendicular, then the product of their slopes is equal to minus one

$m1*m2=-1$

$m2=-\frac{1}{m1}$

we have

$m1=-4$

substitute

$m2=\frac{1}{4}$

Step 3

Find the equation of the line that passes through point Z and is perpendicular to line AB

we have

$Z(0,2)\\m2=\frac{1}{4}$

we know that

the equation of the line into point -slope form is equal to

$y-y1=m*(x-x1)$

substitute

$y-2=\frac{1}{4}*(x-0)$

$y=\frac{1}{4}x+2$

Verify which point is on the line that passes through point Z and is perpendicular to line AB

we know that

If a point is on the line, then the coordinates of the point must be satisfy the equation of the line

we are going to proceed to verify each point to determine the solution

Substitute the values of x and y of the point in the equation of the line. If the equation is true, then the point is on the line

Step 4

point $A(-4,1)$

$1=\frac{1}{4}*(-4)+2$

$1=1$ --------> the equation is true

therefore

the point $A(-4,1)$ is on the line

Step 5

point $B(1,-2)$

$-2=\frac{1}{4}*(1)+2$

$-2=\frac{9}{4}$ --------> the equation is not true

therefore

the point $B(1,-2)$ is not on the line

Step 6

point $C(2,0)$

$0=\frac{1}{4}*(2)+2$

$0=\frac{5}{2}$ --------> the equation is not true

therefore

the point $C(2,0)$ is not on the line

Step 7

point $D(4,4)$

$4=\frac{1}{4}*(4)+2$

$4=3$ --------> the equation is not true

therefore

the point $D(4,4)$ is not on the line

the answer is the option

$A(-4,1)$

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Aleksandr [31]

Look at the attached picture ⤴

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liubo4ka [24]

Correct answer is C.

For example 2, 4, 8, 16, 32...

$2=\frac{4}{2} = \frac{8}{4} = \frac{16}{8} = \frac{32}{16} =...$

$y=2^x$

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m_a_m_a [10]

Answer:

if you need to find solutions ghraficaly

Step-by-step explanation:

y=y

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AleksandrR [38]

X= -193 over 30
Or X= -6.43 recurring

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