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Marta_Voda [28]

2 years ago

14

Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 + 13 Shift the graph of y = x2 rig

ht 13 units. Shift the graph of y = x2 left 13 units. Shift the graph of y = x2 down 13 units. Shift the graph of y = x2 up 13 units.

1 answer:

IgorC [24]2 years ago

4 0

The line will move 13 units up

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Which are the solutions of x2 = 19x + 1?

Finger [1]

Answer:

$(\frac{19-\sqrt{365}} {2},\frac{19+\sqrt{365}} {2})$

Step-by-step explanation:

we have

$x^2=19x+1$

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-x^{2}-19x-1=0$

so

$a=1\\b=-19\\c=-1$

substitute in the formula

$x=\frac{-(-19)\pm\sqrt{-19^{2}-4(1)(-1)}} {2(1)}$

$x=\frac{19\pm\sqrt{365}} {2}$

$x=\frac{19+\sqrt{365}} {2}$

$x=\frac{19-\sqrt{365}} {2}$

$(\frac{19-\sqrt{365}} {2},\frac{19+\sqrt{365}} {2})$

therefore

StartFraction 19 minus StartRoot 365 EndRoot Over 2 EndFraction comma StartFraction 19 + StartRoot 365 EndRoot Over 2 EndFraction

6 0

3 years ago

Read 2 more answers

A point at (4,6) is reflected across the x-axis.What is the y-coordinate of the reflected point?

iren [92.7K]

I believe the ansr would be (-6,-4) I say this becuase if it's positive on the y axis the X axis will be negative and if it's being reflected the coordinates will be backwards. If this answer is wrong I'm truly sorry, but I hope this helps!

7 0

3 years ago

A new road was added near Riana's neighborhood. The road is 5 miles long, and the city plans 1/10 to place a streetlight every m

elena55 [62]

Answer:

= 49

Answer.

Step-by-step explanation:

Solution:-

Length of the road = 5 miles

Distance between every two streetlights = 1/10 miles

Total number of streetlights placed on the new road = 5 ÷ 1/10

= 5*10

= 50 streetlights

As there is already a streetlight at the beginning of the new road, so the number streetlights will be = 50 - 1

5 0

3 years ago

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What value of c makes the equation -3c/4=24 true ?

Sonbull [250]

Creo que C es igual a -6

4 0

3 years ago

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Rectangle LMNP is rotated, using the origin as the center of rotation, to form rectangle L’M’N’P’. What is the angle of rotation

maria [59]

Answer: 180 degrees

Step-by-step explanation:

A rotation of 180 degrees about the origin maps $(x,y) \longrightarrow (-x, -y)$ .

5 0

2 years ago