Use the combination method to solve for y: 5x + 3y = 12 and -5x + 4y = 16

y= 4
y= 0
y= -10
y= -4​

Answer:

Step-by-step explanation:

1) first, lets rationalize the denominator by eliminating [tex]1+\frac{1}{\sqrt{2} }[/tex]

so multiply [tex]\frac{1}{1+\frac{1}{\sqrt{2} } }[/tex]  with the conjugate, [tex]1-\frac{1}{\sqrt{2} }[/tex]

we multiply with the conjugate (opposite) since we can take the conjugate and the original term in the form of (a+b)(a-b)= a^2-b^2, which would allow us to get rid of the square root:

so

(1+1/[tex]\sqrt{2}[/tex])(1-[tex]\frac{1}{\sqrt{2} }[/tex])=(1)^2-([tex]\frac{1}{\sqrt{2} }[/tex])^2

hence we are left with:

1-1/2= 0.5

0.5 is the denominator:

since conjugate is multiplied to both numerator and denominator:

for the numerator (1)([tex]1-\frac{1}{\sqrt{2} }[/tex])

is: 1-[tex]\frac{1}{\sqrt{2} }[/tex]

hence, [tex]\frac{1-\frac{1}{\sqrt{2} } }{0.5}[/tex]

so[tex]1-\frac{1}{\sqrt{2} }[/tex]

is 0.292893

so

0.292893/0.5= 0.058579

and 2-sqrt(2)= 0.058579

hence they both are equal

hope this helps!

Answer:

30 cm²

Step-by-step explanation:

we need to find h

V=πr²h

h=V/πr²

h=210/14²π

h=0.341

then we found curved surface area

A=2πrh

A=2×π×14×0.341

curved surface are= 30 cm²

Answer:

x = 3 or x = -1

Step-by-step explanation:

     25^x = 5^(x^2 - 3)

<=> (5^2)^x = 5^(x^2 - 3)

<=> 5^(2x) = 5^(x^2 - 3)

<=> 2x = x^2 - 3

<=> x^2 - 2x - 3 = 0

<=> x^2 + x - 3x - 3 = 0

<=> x(x + 1) - 3(x + 1) = 0

<=> (x - 3)(x + 1) = 0

<=> x = 3 or x = -1

I hope this helps!

Answer:

C 36+ w= 3w+4; 16 pounds

Step-by-step explanation:

jason weighs 36

jason's sister weighs w

together they weigh 36+w

Then ,We can model the statement:

“together he and his sister weigh four pounds more than three times the weight of his sister”.

like this :

36+ w= 3w+4

Answer:

image attached

Step-by-step explanation:

see attached

Answer: Oysx-1

Step-by-step explanation:

I did same thing and got it right.

Answer: C. Nine Months, 9/12 = 9÷12 = 0.75

Step-by-step explanation:

Hi, to answer this question we have to convert the fraction into decimals and compare:

A. Three Months, 1/4 = 1÷4 = 0.25

B. Six Months, 6/12 = 6÷12 =0.5

C. Nine Months, 9/12 = 9÷12 = 0.75

D. 1 Month, 1/12 =1÷12 = 0.083333

C. Nine Months, 9/12 = 9÷12 = 0.75

Feel free to ask for more if needed or if you did not understand something.

Answer:

- ²⁾4/7 = - 8/14

⁷⁾1/2 = 7/14

- 8/14 < - 9/14 < - 12/14 < 3/14 < 5/14 < 7/14

al3xis

Answer:

The answer for this question is Quadrant III

Hey!!!!

(-3,12) lies in Quadrant II.

please see the attached picture.

Hope it helps...

Good luck on your assignment...

Stay safe..

Answer:

2(20-64)

Step-by-step explanation:

4*10-64*2

40-128

2(20-64)

Answer:

D  36 degrees

Step-by-step explanation:

You add 65 degrees and 79 degrees together and get 144 degrees

The whole triangle is 180 degrees

So you take 180 - 144

and you get D, 36 degrees

Answer:

D.

Step-by-step explanation:

65º+79º+xº=180º

x=180º-65º-79º

x=115º-79º

x=36º

D.

Answer:

The area of the pen would be 24 feet.

Step-by-step explanation:

6 multiplied by 4 is 24.

Answer:

24 feet squared

Step-by-step explanation:

the area of a rectangle = l x w

length = 6

width = 4

therefore, 4x6=24

Answer:

The answer would be, 81cm.

Step-by-step explanation:

36÷4=9

9×9=81

Answer:

THE GRASS

Step-by-step explanation:

Because the grass takes up a larger area

Answer:

t = - 0.8

Step-by-step explanation:

9.75t -9.75t + 9 = 13.5t - 9.75t+ 12

9 = 3.75t +12

9 - 12 = 3.75t

- 3 /3.75= 3.75 t/3.75

- 0.8 = t

Answer:

∴ t= -0.8

Step-by-step explanation:

9.75t + 9 = 13.5t + 12

9.75t-13.5t=12-9

-3.75t=3

-t=3/3.75

-t=0.8

∴ t= -0.8

Hope this helps..Pls mark as Brainliest!!

Answer: (-6,10)

Step-by-step explanation:

Since you are reflecting over the y-axis, the x value becomes the negative

The coordinates for R' the reflected point are (-6,10).

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.

If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

Thus, if you're reflecting a point (x,y) along x axis, then its

f=x

abscissa will stay same but

f=y

ordinates will negate. Thus (x,y) turns to (x, -y)

Similarly, if you're reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)

We are given that;

The point R(6, 10)

Now,

When reflecting a point over the y-axis, we simply negate the x-coordinate while keeping the y-coordinate the same.

So, to reflect point R(6,10) over the y-axis, we flip its x-coordinate to get R'(-6,10).

Therefore, by reflection answer will be (-6,10).

Learn more about reflection here;

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Answer:

good luck

Step-by-step explanation:

Answer:

I think its I,II,III

because first r+q = 90 as we'll as z= 90

second s and z are vertically opposite angles and so are equal

third x+s+r= 180 degrees because they are on a straight line

Answer:

can u please add the statements.

Step-by-step explanation:

Answer:

25 minutes.

Step-by-step explanation:

We can set up an equation: 3/30=2.5/n. This situation is directly proportional, since the number of minutes increases as the runner runs more miles.

We can cross multiply: 3n=30*2.5

3n=75

n=25

Answer:

4/9*pi or 1.395

Step-by-step explanation:

We have that area of the circle, that 4 * pi, we can calculate the radius of the circle, knowing that:

A = pi * r ^ 2

replacing:

4 * pi = pi * r ^ 2

r ^ 2 = 4 * pi / pi

r ^ 2 = 4

r = 2

Therefore, knowing the radius, we can calculate the perimeter:

P = 2 * pi * r

replacing:

P = 4 * pi

That is the perimeter of the whole circle, that is to say 360 °, therefore for 40 ° it would be:

4 * pi * 40 ° / 360 ° = 4/9 * pi

That is to say that the perimeter of the sector of 40 ° is 4/9 * pi, if pi is 3.14 it would be:

4/9 * 3.14 = 1.395

Answer:

42°

Step-by-step explanation:

all triangles have 180 degrees, you are given 48. the symbol above 48 tells you it is 90 degrees. ther fore you can use 180- 90 - 48= 42

Answer:

250

Step-by-step explanation:

1000 divided by 4 is 250

Answer:

The correct option is;

BC = 4 cm and DE = 4 cm

Step-by-step explanation:

The given sides parameters are;

In ΔABC

AB = 3 cm

AC = 5 cm

In ΔDEF

CD = 3 cm

CE = 5 cm

We note that the point F on ΔDEF is the same as point C on ΔABC

For the two triangles to be congruent, the third side must be equal hence e have;

Where ∠B = ∠D = 90°

Hence, AC² = AB² + BC²

∴ BC = √(5² - 3²) = 4

Similarly,

CE² = CD² + DE²

∴ DE = √(5² - 3²) = 4

Hence the additional information needed to prove that ΔABC ≅ ΔDEF is BC = 4 cm and DE = 4 cm.

Answer:

-3 or (-3,0)

Step-by-step explanation:

When graphed the line 2x-y=-6 intersects the x-axis at the coordinate (-3,0)

The answer is 120 have a great day.  Step-by-step explanation:

Answer:if the answer your looking for is the area, then it’s 16.15

Step-by-step explanation:

Answer: Lis saved $1166.4 .

Step-by-step explanation:

Given , Ellen saved $2000 and she spent 10% of it to buy a bike.

Then, Ellen's left saving = saved amount - 10% of  (saved amount)

= $2000 - 0.10 x $2000 [We convert perecntage to decimal by diving it by 100]

= $2000 - $200

= $1800

So, Ellen's left saving= $1800

Also, Kim saved 8% more than that of Ellen's left savings.

Kim's Saving = Ellen's left saving + 8% of (Ellen's left saving)

= $1800  + (0.08) x ($1800) [We convert perecntage to decimal by diving it by 100]

= $1800 +  $144

i.e. Kim's Saving= $1944

If Lisa saved 60% as much as Kim, then Lisa's saving  = 60% of (Kim's Saving)

= (0.60) x ($1944) [We convert perecntage to decimal by diving it by 100]

i.e. Lisa's saving = $1166.4

Answer:

1166.40

Step-by-step explanation:

i got it right on my test.

Answer:

Connie, Josie, Patrick, Mimi, Emma

I took the test, I hope this helps! Its okay, but I tried the answer above, and it wasn't correct

Connie, Josie, Patrick, Mimi, and Emma are the farmers that had more cows than other farmers.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

We know that the number of cows is shown on the graph on the y-axis.

The number of pigs is shown on the x-axis of the graph.

we can conclude from the graph that Connie, Josie, Patrick, Mimi, and Emma had more cows than the other farmers.

If we add all of them that would become greater than others.

Learn more about addition;

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