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2 years ago

What is "shift y= 5x 3 units up"

2 answers:

8 0

It's asking you to shift the graph of; y = 5x up 3 units. if you add 3 to the equation, all y-values will be increased by 3 this shifts the graph up exactly 3 units.

y = 5x + 3

statuscvo [17]2 years ago

4 0

<h2>Answer:</h2>

The shift of y=5x 3 units up is given by:

$y=5x+3$

<h2>Step-by-step explanation:</h2>

The transformation of the type:

f(x) to f(x)+k

is a translation or a shift of the original function f(x) ; k units up or k units down depending on k.

If k>0 then the shift is k units up.

and if k<0 then the shift is k units down.

Here the original function is given by:

$y=5x$

Now, we have to shift the original function 3 units up.

Hence, the transformed function is given by:

$y=5x+3$

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Volume of a cylinder pi 3.14 d=2r h=6cm d=12cm

alex41 [277]

Answer:

V = 678.24cubic cm

Step-by-step explanation:

Volume of a cylinder

V = πr^2h

V - volume of a cylinder

π - pie

r - radius of a cylinder

h - height of a cylinder

Given:

π - 3.14

h - 6

d = 12

d = 2r

Divide both sides by 2

d/2 = 2r/2

d/2 = r

r = d/2

r = 12/2

r = 6

Insert the values into the formula

V = πr^2h

V = 3.14 * 6^2 * 6

= 3.14 * 36 * 6

= 678.24cubic cm

5 0

2 years ago

Rectangle ABCD with coordinates A(1,1), B(4,1), C(4,2) and D(1,2) dilates with respect to the origin to give rectangle A’B’C’D’.

Delvig [45]

Answer: Option C.

Step-by-step explanation:

You need to find the distance AB with the formula for calculate the distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Then, substituting the coordinates of the points A(1,1) and B(4,1), you get:

$AB=\sqrt{(4-1)^2+(1-1)^2}=3$

You know that A'B'=6, then the scale factor of dilation can be calculated with:

$k=\frac{A'B'}{AB}$

Substituting values, you get:

$k=\frac{6}{3}\\\\k=2$

This matches with the option C.

8 0

2 years ago

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MrRissso [65]

99% were not broken as only 1% were broken

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2 years ago

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Given: line AB is congruent to line CD and line AD is congruent to line BC. Prove: angle D is congruent to angle B

Taya2010 [7]

AD = BC ----> Parallel lines
AC = AC -----> Reflexive property
<A = <C -----> Congruent angles
<D = <B -----> Congruent angles

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2 years ago

780 students stand in rows and columns. each row has an equal number of students and each column has an equal number of students

Alex73 [517]

Answer:

Step-by-step explanation:

x = number of rows

780=x(x+4)

$780=x^{2} +4x$

$x^{2} +4x-780=0\\(x+26)(x-30)=0\\x=30 \\x\neq -26\\$

there are 26 rows and 30 students in each row 26*30=780

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2 years ago