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aleksklad [387]

2 years ago

9

Which shows the correct method for solving the equation below? 1/3 (y-9) =3

1 answer:

lyudmila [28]2 years ago

3 0

Answer:

$y=18$

Step-by-step explanation:

we have

$\frac{1}{3}(y-9)=3$

Multiply by $3$ both sides

$3*(\frac{1}{3}(y-9))=3*3$

$(y-9)=9$

Adds $9$ both sides

$(y-9)+9=9+9$

$y=18$

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What is the image of (-9,0) after a reflection over the line y=x

SpyIntel [72]

Answer:

(0,-9)

Step-by-step explanation:

The image of a point $(x,y)$ over a line $y=x$ is given by the co-ordinate rule:

$(x,y)$ → $(y,x)$

So, when we reflect a point over the line $y=x$ , the x co-ordinate and y co-ordinate change their places.

Here, $(x,y)$ is $(-9,0)$ . So, from the above rule, after reflection over the line $y=x$ , the image has the following co-ordinates:

$(0,-9)$

4 0

3 years ago

X squared+ y squared = 2 y = 2x squared – 3 Which of the following describes the system?

cluponka [151]

Answer:

$x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}}$ and $y=-1,\frac{1}{2}$

The ordered pair solutions are $(-\sqrt{\frac{7}{4}},0.5)$ , $(\sqrt{\frac{7}{4}},0.5)$ , $(-1,-1)$ , and $(1,-1)$ .

Step-by-step explanation:

I'm assuming the system is $\left \{ {x^2+y^2=2} \atop {y=2x^2-3}} \right.$ :

$x^2+y^2=2$

$x^2+(2x^2-3)^2=2$

$x^2+(4x^4-12x^2+9)=2$

$x^2+4x^4-12x^2+9=2$

$4x^4-11x^2+9=2$

$4x^4-11x^2+7=0$

$x^4-11x^2+28=0$

$(x^2-7)(x^2-4)=0$

$(4x^2-7)(x^2-1)=0$

$4x^2-7=0$

$4x^2=7$

$x^2=\frac{7}{4}$

$x=\pm\sqrt{\frac{7}{4}}$

$x^2-1=0$

$x^2=1$

$x=\pm1$

$y=2x^2-3$

$y=2(\pm\sqrt{\frac{7}{4}})^2-3$

$y=2({\frac{7}{4}})-3$

$y=\frac{7}{2}-3$

$y=\frac{1}{2}$

$y=2x^2-3$

$y=2(\pm1)^2-3$

$y=2(1)-3$

$y=2-3$

$y=-1$

Therefore, $x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}}$ and $y=-1,\frac{1}{2}$

The ordered pair solutions are $(-\sqrt{\frac{7}{4}},0.5)$ , $(\sqrt{\frac{7}{4}},0.5)$ , $(-1,-1)$ , and $(1,-1)$ .

4 0

1 year ago

Will Mark Brainlest helppp plss

Dima020 [189]

Answer:

the required value of c is [ -11 -1

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3 0

2 years ago

A store sells 168 tapes each week. How many tapes does it sell in 24 weeks?

OLga [1]

Answer: <em>4032</em>

Step-by-step explanation:

<em>Take 168 and multiply by 24</em>

<em>168x24</em>

<em>you will get </em>

<em>4032 tapes in 24 weeks</em>

3 0

2 years ago

McKenzie bought 1.2 pounds of coffee for $11.82. What was the cost per pound?

Viktor [21]

The answer to that is 9.85

7 0

3 years ago

Read 2 more answers