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2 years ago

Which equation shows y=34x−52y=34x−52 in standard form?

Mathematics

1 answer:

ladessa [460]2 years ago

5 0

It would be A, most definitely.

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The vertex form of a function is g(x) = (x – 3)2 + 9. How does the graph of g(x) compare to the graph of the function f(x) = x2?

Alekssandra [29.7K]

we have

$g(x)=(x-3)^{2}+9$

This is the equation of a vertical parabola with vertex at point $(3,9)$

The parabola open upward------> the vertex is a minimum

$f(x)=x^{2}$

This is the equation of a vertical parabola with vertex at point $(0,0)$

The parabola open upward------> the vertex is a minimum

the rule of the translation is

$f(x)------> g(x)$

$(x,y)-----> (x+3,y+9)$

that means

the translation is $3$ units to the right and $9$ units up

the graph of the function g(x) is the translated graphic of the function f(x) $3$ units to the right and $9$ units up

therefore

<u>the answer is</u>

g(x) is shifted $3$ units right and $9$ units up

8 0

2 years ago

Read 2 more answers

Wrapping a Package It takes 70 inches of ribbon to make a bow and wrap the ribbon

anygoal [31]

First subtract the amount the bow takes from the total:

70 - 32 = 38 inches

The width is 14 on top and bottom so subtract 14 x 2 = 28 from 38:

38-28 = 10

Divide 10 by the 2 sides:

10/2 = 5

The height is 5 inches.

5 0

2 years ago

What is three times three added to four times tables

Naya [18.7K]

So 3 *3=9 so 9*4=36 hope I helped

3 0

3 years ago

The circumference of a circle is 15n cm what is the area of the circle in terms of n

Mice21 [21]

Answer:

Area of circle is $\dfrac{225n^{2}}{4\pi} cm^{2}$

Step-by-step explanation:

Formula for circumference of circle is given as,

$C=2\pi r$

Given that C = 15 n cm,

Substituting the value,

$15n=2\pi r$

Solving above equation for r, divide both side by $2\pi$

$\dfrac{15n}{2\pi}=\dfrac{2\pi r}{2\pi}$

Simplifying,

$\dfrac{15n}{2\pi}=r$

Formula for area of circle is given as,

$A=\pi r^{2}$

Substituting the value of r,

$A=\pi \left(\dfrac{15n}{2\pi}\right)^{2}$

Squaring the parenthesis,

$A=\pi \left(\dfrac{225n^{2}}{4\pi^{2}}\right)$

Cancelling out the common term,

$A=\dfrac{225n^{2}}{4\pi}$

Therefore, area of circle in terms of n is $A=\dfrac{225n^{2}}{4\pi} cm^{2}$

5 0

3 years ago

Find the distance between the two points: (3,-2) and (14. -8). State your answer as a radical square root) if necessary to be ex

djyliett [7]

Answer:

$\sqrt{157}$ units

Step-by-step explanation:

Use the distance formula $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\$ to find the distance between the two points. Substitute the x and y values of (3, -2) and (14, -8) into the formula and simplify like so:

$d = \sqrt{(14-3)^2+(-8-(-2))^2} \\d = \sqrt{(11)^2+(-8+2)^2} \\d = \sqrt{121+(-6)^2} \\d =\sqrt{121+36} \\d=\sqrt{157}$

So, the distance is $\sqrt{157}$ units.

7 0

2 years ago