4x+3y=6
-4x+2y=14
Solve the system of equations.

A. x= 1/2, y=3
B. x=3, y =1/2
C. x=4, y = -3/2
D. x=-3/2, y = 4

Answer:

C & D

Step-by-step explanation:

x^2+6x+7=0

Delta=b^2-4ac=6^2-(4*1*7)=36-28=8

X=((-b)+-(delta)^(1/2))/2

X=((-6)+-(2^(3/2)))/2

[tex]x1 = - 3 - \sqrt{2} \\ x2 = - 3 + \sqrt{2} [/tex]

Answer:

1) B. (6,-3)

2) D. (-8,-2)

Answer:

a = 13.24 m

Step-by-step explanation:

Finding ∠A :

Applying the Law of Sines :

Answer:

  13.2 m

Step-by-step explanation:

The Law of Sines can be used to solve a triangle when angles and one side are known.

__

The angles of a triangle total 180°, so the missing angle A is ...

  ∠A = 180° -48° -54° = 78°

The Law of Sines tells us ...

  a/sin(A) = b/sin(B)

  a/sin(78°) = (10.0 m)/sin(48°)

__

Multiplying by sin(78°), we find ...

  a = sin(78°)/sin(48°)×(10.0 m) ≈ 0.978148/0.743145×(10.0 m)

  a = 13.1623 m

The length of side 'a' is approximately 13.2 meters.

Answer:  Around 10 days.  The real answer is 10 2/3.

Answer:

10 and 2-third days.

Convert mixed number to improper fraction

Initial equation

[tex]\frac{176}{9} / \frac{11}{6}[/tex]

Next, multiply the numerators by the numerators, and do the same for the denominators. Flip the second number to 6/11

[tex]\frac{176 * 6}{9 * 11}[/tex]

[tex]= \frac{1056}{99}[/tex]

Simplify.

[tex]\frac{1056}{99} -- > 10\frac{2}{3}[/tex]

If the measure of the angle is 2π/3 the correct option will be tan∅=-√3.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

It is given in the question that:-

The measure of the angle is = [tex]\dfrac{2\pi}{3}[/tex]

We can also write the angle as = [tex]\dfrac{2\times 180}{3}=120[/tex]

Now from the options, the only value which satisfies this angle is tan∅=-√3.

 [tex]tan\dfrac{2\pi}{3}=tan \dfrac{2\times 180}{3}=tan(120)=-\sqrt{3}[/tex]

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Answer:

x alpha 1/y

: Introducing a constant k

x = k/y

where x = 7, y= 6

7 = k / 6

Cross Multiply

K ( constant) = 42

Answer: k = 42

Step-by-step explanation:

Formula = [tex]y = \frac{k}{x}[/tex]

plug in values:

6 = [tex]\frac{k}{7}[/tex]

multiply both sides by 7

k = 42

Answer: 9.3  

I calculated the area of the square, then I calculated the area of the circle.  Then I subtracted the two.

Answer:

5.3

Step-by-step explanation:

A square has equal sides

LXW=A

5x5= 25

diameter of the circle is 5 ft

D/2=R 5/2= 2.5

Area of a circle is [tex]\pi r^2[/tex]  (Pi=3.14)

[tex]3.14 X (2.5)^2[/tex]= 3.14 x 6.25=  19.625.

Area of yellow region

Area of square - Area of circle.

25-19.625 = 5.375 rounded to nearest 10th is 5.3

The area of triangle EFG with a base of 2 feet and height of 8 feet is 8 ft².

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of triangle ABC, hence:

18 ft² = (1/2) * 3 * h

h = 12 ft

Let x represent the height of triangle EFG, hence:

x/12 = 2/3

x = 8 feet

Area of EFG = (1/2) * 2 * 8 = 8 ft²

The area of triangle EFG with a base of 2 feet and height of 8 feet is 8 ft².

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Answer:

267.95 cubic yards

Explanation:

volume of sphere: 4/3 π(radius)³

Here given:

Volume:

insert values

simplify

final answer

Answer:AA , BB , and CC are parallel to MN.

Step-by-step explanation:

The equation that can be used to determine the distance from school to his aunt's house is x = 29 miles / 10.What equation can be used to represent the total distance travelled? Total miles rode = 10(miles ridden to school) + (10 x miles rode to his aunt's house from school) 44 miles = (10 x 1.5) + (10 × x)44 miles = 15 miles +  10x What equation that can be used to determine distance rode from school to her aunt's house? Given this equation : 44 miles = 15 miles +  10x, take the following steps: Combine similar terms: 44 miles - 15 miles = 10x 29 miles = 10x Divide both sides by 10 x = 29 miles / 10 

Answer:

800 dollars

Step-by-step explanation:

The amount spent on equipment is 89% of the total

712÷89 = 8 x 100 = $800

Answer:

$ 53,333.33

Step-by-step explanation:

The formula for simple interest is I = PRT. So, we are trying to solve for P(original investment). To do this, we get the formula P = I / RT. This is the formula we will be using.

Work:

First, converting R percent to r a decimalr = R/100 = 5%/100 = 0.05 per year,putting time into years for simplicity,18 months ÷ 12 months/year = 1.5 years,then, solving our equation

P = 4000 / ( 0.05 × 1.5 ) = 53333.333333333

P = $ 53,333.33

Answer:

6 medians.

Step-by-step explanation:

because the medians of 5 and 7 is 6.

Answer:

1230.9

step by step explanation:

Step-by-step explanation:

1. y <= 0

2. all real numbers

3. y >= 0

4. y >= 2

5. y >= -2

6. y <= 2

Answer:

n ≤ 4

Step-by-step explanation:

"The difference between a number and seven is less than or equal to -3" can be written as n-7 ≤ -3

n-7 ≤ -3

Add 7 to both sides

n ≤ 4

Answer is n ≤ 4

See picture attached for the math

Answer:

1.47 is larger

Step-by-step explanation:

the reason why it's larger is bc the negative sign shows it's below zero

Answer:

864 ft^2

Step-by-step explanation:

Surface area equation is the same as the one used in the other problem; S=(1/2)lP + B

one side is 20 x 14 = 280

another side is 12x14 = 168

another side is 16x14 = 224

the triangle bases are A=(1/2)bh

(1/2)12 x 16 = 96

2(96) = 192

Add all sides together 192 + 224 + 280 + 168 = 864

Answer: 15

Step-by-step explanation:

Pythagorean theorem: c^2 = a^2 + b^2 where c is hypotenuse, a and b are legs.



In this problem:

a = 20

c = 25

b - ?

b^2 = c^2 - a^2

b^2 = 25^2 - 20^2

b^2 = 625 - 400

b^2 = 225

b = sqrt(225)

b = 15

Answer:

There is no answer

Because absolute value causes a positive answer and it is written here -13 !!!

it's impossible

Answer:

Your net pay is

[tex]$1410[/tex]

Step-by-step explanation:

All we have to do is add the deductions and then subtract them from what your earn.

[tex]1600 - (110 + 66 + 14) = \\ 1600 - 190 = 1410[/tex]

We have to double 5 and add 1 to get the same result.

5 + 5 + 1 = 11

We can also double 6 and subtract 1 to get the same result.

6 + 6 - 1 = 11

Hope this will helpful.

Answer:

They can use counters or their fingers, but they can also use doubles facts. If they know 5 + 5 = 10, they know that the sum of 5 + 6 will be one more. Thus, 5 + 6 = 11. Practice solving other doubles-plus-one facts together, such as 3 + 4, 7 + 8, and 9 + 8.

Answer:

last option, {x|x≠13}

Step-by-step explanation:

(f of g)(x) means f(x) x g(x):

(x + 7) x (1 / x - 13) = (x + 7) / (x - 13)

domain is all possible x values which is the denominator, x - 13

x - 13 = 0

Interval notation: (−∞,13)∪(13,∞) this means x does not equal 13

Abraham Lincoln, in his autobiography, kept his portrayal of his life very: A. neutral.

An autobiography can be described as the account of the of an individual which is authored by the individual whose life is being narrated.

For Abraham Lincoln, the manner in which he described himself sounded quite neutral in the autobiography he authored.

We can conclude that Lincoln kept his portrayal of his life very: A. neutral.

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I assume the given expression is

[tex]\sqrt x \sqrt[4]{x}[/tex]

We can write each root as a rational power of x, then add the exponents:

[tex]\sqrt x \sqrt[4]{x} = x^{\frac12} x^{\frac14} = x^{\frac12 + \frac14} = x^{\frac34}[/tex]

Then putting it back into radical form, we have

[tex]\sqrt x \sqrt[4]{x} = \sqrt[4]{x^3}[/tex]

Answer:

Down below

Step-by-step explanation:

First one:  Sixth root of B.  Second one:  Fourth root of X to the Z power.  Third one:  Square root of nine to the third power.  Fourth one:  M root of M to the P power.  Fifth one:  Square root of J to the two plus x power.

Sorry if this is wrong.  I'm almost positive this is correct.  The only one I'm not sure about is the third one and maybe the last one.  Since there's no two there I'm not sure if it would still be called the square root.

Answer: 88 units²

Step-by-step explanation: Alright, this ones is easy. Ok, so we know we have a right triangle so, therefore, we can find the missing sides required using trigoneomeric functions. If you dont know what these are here, take a look:

sinФ= opposite/hypotenuese

cosФ= adjancent over hypotneuse

tanФ= opposite/adjecent.

angle is 34

In this case the opp (opposite would be the base of the trinagle, the adj would be 16 units, and the hyportneuse would be "we dont know"

From here, we can set up this equation to find the area->

Now we know the base and height of the triangle, so using the formula 1/2*B*H for the area we get 88 units². Thank you!

The Area of Triangle is 86.272 unit².

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

Perpendicular = 16

Using Trigonometry

tan 34 = P / B

0.674 = 16/ B

B= 10.784

So, Area of Triangle = 1/2 x b x h

                                 = 1/2 x 16 x 10.784

                                 = 86.272 unit²

Hence, the Area of Triangle is 86.272 unit².

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Answer:

A, D, E

Step-by-step explanation:

AREA OF SQUARE

[tex](x - 1)(x - 1) = x^2 - 2x + 1[/tex]

AREA OF RECTANGLE

[tex]x(x - 2) = x^2 - 2x[/tex]

Using this we know that the difference is 1, so B is incorrect. We also know that D and E are correct because we solved for the area. C is also wrong, by the same reasoning. Now, all we need to see is if A is right. Plug in x = 2.

[tex](2)^2 - 2(2) + 1 \\= 4 - 4 + 1 \\= 1[/tex]

Because the area of the square is a square unit larger than the rectangle, the rectangle would have an area of 0, which is impossible, so A is correct.