What steps do you use to solve a system of two equations using elimination? For example:
7x +2y = -32
-3x+2y = -70

Answer:

to solve that it gonna be 10 square root of 2 and in decimal form it gonna be 14.14213562

Hope this helps

Step-by-step explanation:

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Work Shown:

One approach is to simplify the stuff under the second power exponent. After that simplification, you would then square the result.

[tex]x = \sqrt{2}+\sqrt{8}+\sqrt{18}+\sqrt{32}\\\\x = \sqrt{2}+\sqrt{4*2}+\sqrt{9*2}+\sqrt{16*2}\\\\x = \sqrt{2}+\sqrt{4}*\sqrt{2}+\sqrt{9}*\sqrt{2}+\sqrt{16}*\sqrt{2}\\\\x = 1\sqrt{2}+2\sqrt{2}+3\sqrt{2}+4\sqrt{2}\\\\x = (1+2+3+4)\sqrt{2}\\\\x = 10\sqrt{2}\\\\x^2 = \left(10\sqrt{2}\right)^2\\\\x^2 = \left(10\sqrt{2}\right)*\left(10\sqrt{2}\right)\\\\x^2 = 10*10\sqrt{2}*\sqrt{2}\\\\x^2 = 100\sqrt{2*2}\\\\x^2 = 100\sqrt{4}\\\\x^2 = 100*2\\\\x^2 = 200\\\\[/tex]

So,

[tex]\left(\sqrt{2}+\sqrt{8}+\sqrt{18}+\sqrt{32}\right)^2 = 200[/tex]

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Checking the answer:

Using a calculator,

sqrt(2)+sqrt(8)+sqrt(18)+sqrt(32) = 14.142135623731

Then you square that to get (14.142135623731)^2 = 200.000000000001

Your calculator may not have that 1 at the end. It shouldn't be there and it's a result of rounding error. But it's close enough to 200.

Answer:

469.4ft²

Step-by-step explanation:

We have ∆ WXY in the above question,

From which we have obtained the following values

Angle W = 27°

Angle X = ?

Angle Y = 40°

Side w =?

Side x = ?

Side y = 38ft

Area of the triangle= ?

Step 1

We find Angle X

We know that the Sum of angles in a triangle = 180°

In the question above, we are given 2 angles

Hence,

Angle X = 180 - ( Angle W + Angle Y)

= 180° - (27 + 40)°

= 180° - 67°

Angle X = 113°

Step 2

Find the sides w and x

We find these sides using the Rule of sines

Rule of Sines =

a/ sin A = b/ Sin B = c/Sin C

Hence for triangle WXY

w/ sin W = x/ sin X = y/ sin Y

We have the following values

Angle W = 27°

Angle X = 113°

Angle Y = 40°

We are given side y = 38ft

Determining side w

w/ sin W= y/ sin Y

w/sin 27 = 38/sin 40

Cross Multiply

sin 27 × 38 = w × sin 40

w = sin 27 × 38/sin 40

w = 26.83879ft

w = 26.84ft

Determining side x

w/ sin W = x/ sin X

26.84/ sin 27 = x/sin 113

Cross Multiply

sin 113 × 26.84 = x × sin 27

x = sin 113 × 26.84/sin 27

x = 54.42041ft

x = 54.42ft

To find the area of triangle WXY

We apply the use of heron formula

= √s(s - w) (s - x) (s - y)

Where S = w + x + y/ 2

s = (38 + 26.84 + 54.42)/2

s = 59.63

Area of the triangle = √59.63× (59.63 - 38) × (59.63 - 26.84 ) × (59.63 - 54.42)

Area of the triangle = √ 220343.61423

Area of the triangle = 469.40772706541ft²

Hence, Approximately to the nearest tenth =469.4yd²

Answer:

p=-2

Step-by-step explanation:

we can solve by both methods

if it is divisible by x-1,then remainder is zero.

i solve by synthetic division.

x-1=0,x=1

1 |  1 -1  p  2

 |      1  0  p

_________

   1   0  p |2+p

Here 2+p is remainder.

p+2=0

p=-2

Answer:

 x               y

1/4              0

13/4            3

 2             7/4

Step-by-step explanation:

To complete the table we just need to replace the value of x and get y as:

for x = 1/4

[tex]y=\frac{1}{4}-\frac{1}{4}=0\\[/tex]

for x=13/4

[tex]y=\frac{13}{4}-\frac{1}{4}=\frac{12}{4}=3[/tex]

for x=2

[tex]y=2-\frac{1}{4}=\frac{7}{4}[/tex]

So, the complete table is:

x            y

1/4         0

13/4       3

2           7/4

Answer:

x=16

Step-by-step explanation:

x+7=23

23-7=x

x=16

Without further context I can't say much other than the radius is perpendicular to the tangent. In other words, the radius and tangent line form a 90 degree angle. This is one particular radius and its not just any radius. The radius in question must have the point of tangency as its endpoint.

The radius, AB  is perpendicular to the tangent line,  BC  so their slopes are negative reciprocals of one another. Because I generated a circle at random for this activity, this conclusion likely applies to any tangent line to a circle. In other words, the tangent line to any circle is perpendicular to the radius at their point of intersection.

Answer:

2.

Step-by-step explanation:

The slope is calculated by doing rise over run.

The rise is: 6 - 0 = 6.

The run is: 0 - (-3) = 0 + 3 = 3.

6 / 3 = 2 / 1 = 2.

Hope this helps!

Answer:

x = -0.907, 2.57

Step-by-step explanation:

Quadratic Formula: [tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]

Since we are given a = 3, b = -5, and c = -7 from our quadratic, we simply use the Quadratic Formula:

Step 1: Plug in variables

[tex]x=\frac{-(-5)+/-\sqrt{(-5)^2-4(3)(-7)} }{2(3)}[/tex]

Step 2: Solve

[tex]x=\frac{5+/-\sqrt{25+ 84} }{6}[/tex]

[tex]x=\frac{5+/-\sqrt{109} }{6}[/tex]

Step 3: Evaluate for decimals

You should get x = -0.906718 and 2.57338 as your answers.

Answer:

x = 2.57338441, − 0.90671775

Step-by-step explanation:

x = 5 ±√109/2 x 3

Times 2 by 3

x = 5 ± √109/6

x = 5 ± √109/6

x = 5 + √109/6

x = 5 ± √109/6

x = 5 - √109/6

x = 5 + √109/6, 5 - √109/6

x = 2.57338441, − 0.90671775

C) Step 3 is wrong because the subtraction property of equality was used incorrectly.

I just took the quiz on edge

Answer:

its c

Step-by-step explanation:

i did the test on edge

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Work Shown:

y = x^2 + 8x + 3 is the same as y = 1x^2 + 8x + 3

It is in the form y = ax^2 + bx + c

a = 1

b = 8

c = 3

Plug the values of a and b into the formula below to get the x coordinate of the vertex (h,k)

h = -b/(2a)

h = -8/(2*1)

h = -8/2

h = -4

Plug this into the original equation to get its paired y value. This will get us the value of k

y = x^2 + 8x + 3

y = (-4)^2 + 8(-4) + 3

y = 16 - 32 + 3

y = -13

This is the smallest y output possible. Therefore it is the minimum. The minimum occurs at the vertex (h,k) = (-4, -13)

We know we are dealing with a minimum because a = 1 is positive forming a parabola that opens upward. If a < 0, then the parabola would open downward to yield a maximum.

Answer:

Mode: 100

Mean: 46.94444...

Median: 29.5

Range: 150

Step-by-step explanation:

Mode: most occurring number: 100

Mean: Plus everything and divide by how many number there is: 845/18=46.94....

Median: The middle number, but you need to line it from smallest to greatest.

0, 0, 0, 1, 3, 4, 5, 12, 29, 30, 40, 50, 100, 100, 100, 100, 121, 150

29 and 30 is in the middle. In this case, you plus 29+30 and divide by 2. =29.5

Range: Largest number-Smallest number. You also need to line it from smallest to largest: 150-0=150

Hope this helps, BRAINLIEST would really help me:)

Answer:

0.7

Step-by-step explanation:

multiply 2.5 by 2 first

5-4.3=0.7

Answer:  [tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Step-by-step explanation:

When you subtract b/2a from both sides, you end up with the Quadratic Formula.

Answer:

[tex]\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

[tex]\displaystyle x+\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}[/tex]

Subtract [tex]\frac{b}{2a}[/tex] from both sides.

[tex]\displaystyle x+\frac{b}{2a} -\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}-\frac{b}{2a}[/tex]

[tex]\displaystyle x=\frac{ \± \sqrt{b^2-4ac} -b}{2a}[/tex]

[tex]\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}[/tex]

This is a quadratic formula.

Answer: 31 students

Step-by-step explanation:

Because the class has 93 students, and there are a total of 124(70+54) classes taken, 124-93 students, or 31 students taking both classes.

Hope it helps <3

Answer:

B

Step-by-step explanation:

You can not take a square root of a negative number, because than it will become imaginary. So X has to be equal to or greater than 10.

Answer:

5.83 ft

Step-by-step explanation:

Given that

Scale factor, n = 10

Wall in blueprint = 7 in

To find:

Length of actual wall = ?

Solution:

Whenever a blueprint is created for any house or building, it is made smaller by a scale factor.

Here this factor is 10 times.

That means, the blueprint size is 10 times smaller than that of its actual size.

Or we can say that actual wall of building is 10 times the wall of blueprint.

So, wall of building = 10 [tex]\times[/tex] 7 = 70 inches

Now, we know that 12 inches = 1 ft

1 inch = [tex]\frac{1}{12}\ ft[/tex]

70 inches = [tex]\frac{1}{12}\times 70\ ft = 5.83\ ft[/tex]

so, the answer is Wall of building is 5.83 ft.

Answer:

T = 1.5s

Step-by-step explanation:

Hello,

To find the time the pincone hits the ground, we need to use the equation given.

Note that h = 0 when the pinecones hits the ground.

This question relates to motion under gravity.

h = -16t² + 36

0 = -16t² + 36

Make t² the subject of formula

16t² = 36

t² = 36 / 16

t² = 2.25

Take the square root of both sides

t = √(2.25)

t = 1.5s

The time it takes the pinecone to hit the ground is 1.5s.

Answer:

144cm^3

Step-by-step explanation:

A=1/2bh = 1/2 (6)(8)

=24

v=A×H=(24)(6)

=144cm^3

Answer: 144 cm³

Step-by-step explanation:

The volume of a triangular prism can be found by multiplying the area of the base by the prism height.  Thus, first calculate the area of the triangle(1/2*bh): 24.  Then multiply 24*prism height(6) to get 144.

Answer:

b > 9

Step-by-step explanation:

6(b – 4) > 30

Divide each side by 6

6/6(b – 4) > 30/6

b-4 > 5

Add 4 to each side

b-4+4 > 5+4

b > 9

Answer:

[tex]\boxed{b > 9}[/tex]

Step-by-step explanation:

[tex]6(b-4) > 30[/tex]

Resolving Parenthesis

6b - 24 > 30

Adding 24 to both sides

6b > 30+24

6b > 54

Dividing both sides by 6

b > 9

Answer:

Just multiply 2 by (36*15) which equals 1080

Than divide 1080 by 100

1080/100

Which would give us 10.8 10.8 * 70 = $756.00

So, the answer is $756.00

Step-by-step explanation:

Answer:

The answer is A- 3.25x + 13.50 < 40

Answer:

13.50X+3.25 < 40

Answer:

[tex]YZ = 48[/tex]

Step-by-step explanation:

Given

[tex]AB = 24[/tex]

[tex]XZ = 60[/tex]

Required

Find YZ

From the attachment, AB is parallel and equal to YC;

This implies that

[tex]AB = YC = 24[/tex]

Given that C is the midpoint of YZ;

This implies that

[tex]YC = CZ = 24[/tex] and [tex]YZ = YC + CZ[/tex]

Substitute values for YC and CZ

[tex]YZ = 24 + 24[/tex]

[tex]YZ = 48[/tex]

Answer:

48

Step-by-step explanation:

Answer:

C. Same is not an orange belt and Kate is not a red belt.

Step-by-step explanation:

The negation for the statement is Sam is not an orange belt or Kate is not a red belt.

The negation of a conjunction is equivalent to the disjunction of the negation of the statements making up the conjunction. To negate an “and” statement, negate each part and change the “and” to “or”.

Given statement:

Sam is an orange belt and Kate is a red belt.

Now, to make the negation we have to consider the rule "To negate an “and” statement, negate each part and change the “and” to “or”."

So, the negation statement would be

Sam is not an orange belt or Kate is not a red belt.

Learn more about  De Morgan's laws here:

https://brainly.com/question/13317840

#SPJ2

Answer:

54

Step-by-step explanation:

10m +n^2 /4

= 10*5 + 4^2 /4

= 50 + 16/4

= 50 + 4

= 54

Answer:

54

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

y≥-3

{y:y=-3,-2,-1....}

y<0

{y:y=...-3,-2,-1}

When we see the above inequalities they both start from zero and then go toward the negative numbers.

Hope this helps ;)❤❤❤

Let me know if there is an error in my answer!

The sides are  

6  inches,  8 inches and  10  inches

I'd suggest that the question should read 'The perimeter of a triangle is 24 inches. The longest side is 4 inches longer than the shortest side, and the shortest side is three-fourths the length of the middle side. How do you find the length of each side of the triangle?'

Then the shortest side is  

6

and the longest side is  

10

Answer:

The correct option is;

H. 32·π

Step-by-step explanation:

The given information are;

The time duration for one complete revolution = 75 seconds

The distance from the center of the carousel where Levi sits = 4 feet

The time length of a carousel ride = 5 minutes

Therefore, the number of complete revolutions, n, in a carousel ride of 5 minutes is given by n = (The time length of a carousel ride)/(The time duration for one complete revolution)

n = (5 minutes)/(75 seconds) = (5×60 seconds/minute)/(75 seconds)

n = (300 s)/(75 s) = 4  

The number of complete revolutions - 4

The distance of 4 complete turns from where Levi seats = 4 ×circumference of circle of Levi's motion

∴ The distance of 4 complete turns from where Levi seats = 4 × 2 × π × 4 = 32·π.

Answer:

The loudness of the dinner conversation is 40 dB

Step-by-step explanation:

Loudness in dB = 10[tex]Log_{10}[/tex] [tex](\frac{I}{I_{o} })[/tex]

where [tex]I_{0}[/tex] is the least intense sound a human can hear = [tex]10^{-12}[/tex] W/m^2

For a dinner conversation with sound intensity of [tex]I[/tex] = [tex]10^{-7}[/tex] W/m^2

Loudness = 10[tex]Log_{10}[/tex] [tex](\frac{10^{-7} }{10^{-12} })[/tex] = 10[tex]Log_{10}[/tex] [tex]( 10^{4} )[/tex] = 40 dB

Answer:

50 Db

Step-by-step explanation:

Answer:

The center is ( 0,-11) and the radius is 3

Step-by-step explanation:

x^2 + (y + 11)^2 = 9.

The equation of a circle can be written in the form

(x-h)^2 + (y -k)^2 = r^2  where ( h,k) is the center and r is the radius

(x-0)^2 + (y - - 11)^2 = 3^2

The center is ( 0,-11) and the radius is 3

Answer:

2: (0,-11) A: r=3

Step-by-step explanation:

the equation of a circle is given by the equation:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h,k) is the center and r is the radius.

We are given:

[tex]x^2+(y+11)^2=9[/tex]

This is the same as saying:

[tex](x+0)^2+(y-(-11))^2=3^2[/tex]

In other words, the center is at (0,-11).

And the radius is r=3.

Answer:

E, 13728

Step-by-step explanation:

You can set up a equation

x=(1-0.12)(15600)

This turns out to be 13728.