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Step-by-step explanation:

x=½y+5. ......i

2x+3y=-14. .....ii

putting the value of x in equation ii.

2(½y+5)+3y=-14

y+10+3y=-14

4y=-24

y=-6

Now, putting the value of y in first equation.

x=½y+5

x=(½×-6)+5

x=-3+5

x=2.

therefore, the value of x=2 and y=-6.

So, option D is correct answer.

hope this helps you.

Answer:

The angle (7x-14) and (4x+19) are corresponding angles. Both angles are 63 degrees.

Step-by-step explanation:

Since the two angles are corresponding, they are equal.

7x-14 = 4x + 19

Subtract the 4x on right side to get 19 alone. Do the same on the left side since, whatever you do on one side, you have to do to the other.

3x-14 = 19

Add the -14 on the left side to get 3x alone. Do the same on the right side since, whatever you do on one side, you have to do to the other.

3x = 33

Divide by 3.

x = 11

Answer:

9

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

9

Answer:9:6

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

the twis old as karli

the sum of their ages 7 years ago

13+7=20

Answer:

Note:  The expression "h =300- pi r /pi r" would equate to 299, as written.  I find h = (300 - π[tex]r^{2}[/tex] )/πr to be the equation for height.

Step-by-step explanation:

The total surface area of a sylinder is 2πr(h+r) where h is the height and r is the radius.  That consists of top and bottom disks, each with an area of π[tex]r^{2}[/tex], for a total of 2π[tex]r^{2}[/tex].  The side is a  continous sheet that has an area of 2πrh, where h is the height.  2πr is the circumference of the can, so the surface area of the side is 2πrh.

The total surace area of a closed cylinder is therefore 2π[tex]r^{2}[/tex] + 2πrh.

2π[tex]r^{2}[/tex] + 2πrh = 600

π[tex]r^{2}[/tex] + πrh = 300

πrh = 300 - π[tex]r^{2}[/tex]

h = (300 - π[tex]r^{2}[/tex] )/πr

Answer:

$80.12; approx. $80

Step-by-step explanation:

- multiply 68.48 x 17% or 68.48 x 0.17 = 11.64

- the tax is 11.64

- add 68.48 + 11.64

- her total is $80.12

- rounded it would be $80

Hope this helped!

Answer: In 4 minutes he will make 5 portraits

Step-by-step explanation:

[tex]\large \boldsymbol{} 600p-8h=480 min \\\\ x \ p-4 min \\\\ x=\dfrac{600\cdot 4}{480} =\dfrac{2400}{480} =5 \ portraits \\\\ \rm Answer : 5[/tex]

[tex]293 {8}^{?} \sqrt{96} [/tex]

41

Step-by-step explanation:

3(8)+11+6=24+17=41

Answer:

STEP1:

4 Simplify — 1

Equation at the end of step1:

4 (((((((2•(a3))+(4•(a2)))-2a)-————)-(4•(a2)))-4a)+16)•(((((a2)-6a)+(4•a2))+2a)-4) (a3)

STEP2:Equation at the end of step 2

4 (((((((2•(a3))+(4•(a2)))-2a)-————)-(4•(a2)))-4a)+16)•(((((a2)-6a)+22a2)+2a)-4) (a3)

STEP 3 :

Equation at the end of step3:

4 (((((((2•(a3))+(4•(a2)))-2a)-————)-22a2)-4a)+16)•(5a2-4a-4) (a3)

STEP 4 :

4 Simplify —— a3

Equation at the end of step4:

4 (((((((2•(a3))+(4•(a2)))-2a)-——)-22a2)-4a)+16)•(5a2-4a-4) a3

STEP 5 :

Equation at the end of step5:

4 (((((((2•(a3))+22a2)-2a)-——)-22a2)-4a)+16)•(5a2-4a-4) a3

STEP 6 :

Equation at the end of step6:

4 ((((((2a3+22a2)-2a)-——)-22a2)-4a)+16)•(5a2-4a-4) a3

STEP7:Rewriting the whole as an Equivalent Fraction

 7.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  a3  as the denominator :

2a3 + 4a2 - 2a (2a3 + 4a2 - 2a) • a3 2a3 + 4a2 - 2a = —————————————— = ————————————————————— 1 a3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP8:Pulling out like terms

 8.1     Pull out like factors :

   2a3 + 4a2 - 2a  =   2a • (a2 + 2a - 1) 

Trying to factor by splitting the middle term

 8.2     Factoring  a2 + 2a - 1 

The first term is,  a2  its coefficient is  1 .

The middle term is,  +2a  its coefficient is  2 .

The last term, "the constant", is  -1 

Step-1 : Multiply the coefficient of the first term by the constant   1 • -1 = -1 

Step-2 : Find two factors of  -1  whose sum equals the coefficient of the middle term, which is   2 .

     -1   +   1   =   0

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Adding fractions that have a common denominator :

 8.3       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2a • (a2+2a-1) • a3 - (4) 2a6 + 4a5 - 2a4 - 4 ————————————————————————— = ——————————————————— a3 a3

Equation at the end of step8:

(2a6+4a5-2a4-4) (((———————————————-22a2)-4a)+16)•(5a2-4a-4) a3

STEP9:

Rewriting the whole as an Equivalent Fraction :

 9.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  a3  as the denominator :

22a2 22a2 • a3 22a2 = ———— = ————————— 1 a3

STEP10:

Pulling out like terms :

 10.1     Pull out like factors :

   2a6 + 4a5 - 2a4 - 4  = 

  2 • (a6 + 2a5 - a4 - 2) 

Checking for a perfect cube :

 10.2    a6 + 2a5 - a4 - 2  is not a perfect cube

Trying to factor by pulling out :

 10.3      Factoring:  a6 + 2a5 - a4 - 2 

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -a4 - 2 

Group 2:  a6 + 2a5 

Pull out from each group separately :

Group 1:   (a4 + 2) • (-1)

Group 2:   (a + 2) • (a5)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

 10.4    Find roots (zeroes) of :       F(a) = a6 + 2a5 - a4 - 2

Polynomial Roots Calculator is a set of methods aimed at finding values of  a  for which   F(a)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  a  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -2.

 The factor(s) are:

of the Leading Coefficient :  1

 of the Trailing Constant :

Answer:

[tex]6^{9} * 6^{-3}[/tex]

Answer: A  streetlight casts a shadow 15 feet long. At the same time, a 18-foot flag pole casts a shadow 10 feet long. How tall is the tree? | Socratic A tree casts a shadow 15 feet long.

Step-by-step explanation:

the perimeter = 2×(8+6)

= 2(14) = 28m

the diagonal = √8²+6²

= √64+36

=√100 = 10m

the total length of the frame =

28+10 = 38 m

therefore the total Weight =

38× 1.5 kg = 57 kg

The correct answer is 57kg.

the perimeter = 2×(8+6)

= 2(14) = 28m

the diagonal = √8²+6²

= √64+36

100 = 10m

the total length of the frame =

28+10 = 38 m

therefore the total Weight =

38× 1.5 kg = 57 kg

The weight of an object is defined as the force of gravity on the object and may be calculated as the mass times the acceleration of gravity, w = mg.

To obtain the weight of your metal, you will multiply the sectional area, length and density together. Then, to convert the weight to kilograms, you must divide the product by 1,000. You can also determine the weight of your metal product using any number of online metal weight calculators.

Learn more about What is the weight formula? here:  https://brainly.com/question/8925446

#SPJ2

Answer:

-6√3 - 9√2

Step-by-step explanation:

So you distribute like normal:

-3√3 times 2 is -6√3

-3√3 times √6 is -3√18

You can simplify -3√18 into -9√2

(because 9 can be squared into 3 and you can multiply the 3 with the current 3 into 9)

(Also you have to divide 9 out of 18 since you are simplifying)

So the answer will be -6√3-9√2

Hope this helps!

Answer:

ac = 18.5

Step-by-step explanation:

perimeter of a rectangle =  [tex]2(l+b)[/tex]

= 138m^2= 2(2x + 6 ) + 52

= 4x + 12 + 52 = 138  

= 4x + 64 = 138

= 4x = 138 - 64

= 4x = 74

= x =  74/4

= x = 18.5

Answer:

2x2x2 or 2x2x2x2

Step-by-step explanation:

because thats the answer

Answer:

(0,-2)

(2,-1)

(4,0)

Step-by-step explanation:

The points are the above ones.

x intercept: (4, 0)

y intercept: (0, -2)

10

3.3×10= 33

Hope this helped you- have a good day bro cya)

Answer: no

Step-by-step explanation: no

Answer:

scale enlargement of 1 1/2 (  x+5, y+3)  

Step-by-step explanation:

Answer:

100,000

Step-by-step explanation:

[tex] (\dfrac{10^{-2}}{10^3})^{-1} = [/tex]

When you divide powers with the same base, subtract the exponents.

[tex] = (10^{-2 - 3})^{-1} [/tex]

[tex] = (10^{-5})^{-1} [/tex]

To raise a power to a power, multiply the exponents.

[tex] = 10^{-5 \times (-1)} [/tex]

[tex] = 10^5 [/tex]

[tex] = 100,000 [/tex]