Solve by substitution. Please show work
Y=-3x-14
-2x-y=9

Answers

Answer 1

Answer:

The value of x is -5 and y is 1

Step-by-step explanation:

Here,

y = -3x - 14

-2x - y = 9

Substitution Method

y = -3x - 14 ...(1)

-2x - y = 9 ...(2)

Now, substitute the value of y = -3x - 14 in equation (2) we get,

-2x - y = 9

-2x - (-3x - 14) = 9

-2x + 3x + 14 = 9

x = 9 - 14

x = -5

Now, put the value of x in equation (1) we get,

y = -3x - 14

y = -3(-5) - 14

y = 15 - 14

y = 1

Thus, The value of x is -5 and y is 1

FOR VERIFICATION ONLY:

y = -3x - 14

1 = -3(-5) - 14

1 = 15 - 14

1 = 1

-2x - y = 9

-2(-5) - 1 = 9

10 - 1 = 9

9 = 9

Hence, L.H.S = R.H.S

-TheUnknownScientist


Related Questions

Write the sentence as a conditional statement.

Two parallel lines lie in the same plane.

Answers

if there are two parallel lines on a graph, then they are on the same plane

plz help 12 points !!! it's l due in a hourPIL Assessment 0 Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. Maurice says that he can make a tray that has a base measuring 10 inches by 10 inches. Is he correct? Use the drop-down menus to explain your answer. Stephan Choose... have enough wood to make the tray because he has Choose... square inches, which is Choose... than he needs to make the tray, Choose... square inches.​

Answers

Answer:

No, because he needs to make a 18 by 12 base. Not enough wood, (area)..... square inches

A 12 foot ladder is leaning up against the side of a building. The bottom of the ladder is 4 feet away from the bottom of the building Approximately how high up the side of the building does the ladder reach? 8 ft 10 ft 11 ft 12 ft​

Answers

You can use the Pythagoras theorem for this since a right triangle is formed.

[tex]c^2 = a^2 + b^2[/tex]

C = 12

A = 4

B = x

Input values:

[tex]12^2 = 4^2 + x^2[/tex]

[tex]144 = 16 + x^2[/tex]

[tex]128 = x^2[/tex]

[tex]x = \sqrt{128}[/tex]

[tex]x = 11.3137...[/tex]

So, about 11ft.

The radius of a circle is 75 centimeters.
Enter the circumference of the circle, in centimeters. Round your answer to the nearest hundredth.

Answers

Answer:

The circumfrence is 150pi.

Step-by-step explanation:

While a circle, symbolically, represents many different things to many different groups of people including concepts such as eternity, timelessness, and totality, a circle by definition is a simple closed shape. It is a set of all points in a plane that are equidistant from a given point, called the center. It can also be defined as a curve traced by a point where the distance from a given point remains constant as the point moves. The distance between any point of a circle and the center of a circle is called its radius, while the diameter of a circle is defined as the largest distance between any two points on a circle. Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle. The circumference of a circle can be defined as the distance around the circle, or the length of a circuit along the circle. All of these values are related through the mathematical constant π, or pi, which is the ratio of a circle's circumference to its diameter, and is approximately 3.14159. π is an irrational number meaning that it cannot be expressed exactly as a fraction (though it is often approximated as 22/7) and its decimal representation never ends or has a permanent repeating pattern. It is also a transcendental number, meaning that it is not the root of any non-zero, polynomial that has rational coefficients. Interestingly, the proof by Ferdinand von Lindemann in 1880 that π is transcendental finally put an end to the millennia-old quest that began with ancient geometers of "squaring the circle." This involved attempting to construct a square with the same area as a given circle within a finite number of steps, only using a compass and straightedge. While it is now known that this is impossible, and imagining the ardent efforts of flustered ancient geometers attempting the impossible by candlelight might evoke a ludicrous image, it is important to remember that it is thanks to people like these that so many mathematical concepts are well defined today.

Find the missing side. Round to
the nearest tenth.
10
33°
Х
X = ?

Answers

Given:

A right angle triangle with legs x and 10.

The angle opposite to the side with measure 10 is 33 degrees.

To find:

The value of x.

Solution:

We know that, in a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

In the given triangle,

[tex]\tan 33^\circ=\dfrac{10}{x}[/tex]

[tex]x=\dfrac{10}{\tan 33^\circ}[/tex]

[tex]x=15.39864[/tex]

[tex]x\approx 15.4[/tex]

Therefore, the value of x is 15.4 units.

The price of a cake of radius r сm and height h cm is given by the formula
P=
[tex] \frac{1}{25} {r}^{2} h[/tex]


If the price of cake is $240 and the height is 15 cm, calculate the radius
of the cake.


pls provide step-by-step explanation, final ans is 20 cm. tysm <33 ​

Answers

Answer:

20 cm

Step-by-step explanation:

Given that :

P = 1/25 r²h

P = price = 240 ; h = height = 15cm

Inputting values into the equation :

240 = 1/25 * r² * 15

25 * 240 = 15r²

6000 = 15r²

6000 / 15 = r²

400 = r²

Square root of both sides

20 = r

Radius = 20cm

Use this set of number to answer the question.
4, 11, 6, 9, 23, 34, 6, 19,
What is the median for this set of numbers?
A. 6
B. 10
C. 14
D. 16

Answers

Answer:

10

Step-by-step explanation:

arrange the number in order from smallest to largest, 4, 6, 6, 9, 11, 19, 23, 34. you then find the middle number, in this case there is no middle number, but 9 and 11 are the closest, so you add those to together to get 20, then divide by 2. this gives you ten

if you have any questions, leave them in the comments and i will try to answer them, if this helped pls give brainliest

Answer:

Hello There!!

Step-by-step explanation:

Median is ordering the numbers from smallest to biggest.

Ordered: 4,6,6,9,11,19,23,34

And there is no middle number so you have two add the two middle numbers 9+11=20 then divide by 2 which equals 10.

hope this helps,have a great day!!

~Pinky~

what is 1 x (a + 3) = a + 3

Answers

Answer:

[tex]\huge\boxed{a\in\mathbb{R}}[/tex]

The solution is the set of all real numbers.

Step-by-step explanation:

[tex]1\times(a+3)=a+3\\\\a+3=a+3\\\\a-a+3=a-a+3\\\\3=3\qquad\bold{TRUE}[/tex]

Answer:

See the Image below:)

ITS TRUE

SOLUTION ALL REAL NUMBERS

Step-by-step explanation:

The graphs below have the same shape. What is the equation of the blue
graph?

Answers

Answer:

G(x) = (x^2 +2)

Step-by-step explanation:

The graph moved to the left 2 units, therefor that is the equation :)

The equation of the blue graph will be G(x) = (x² +2).

What is a qudratic function?

In mathematics, a quadratic polynomial is a polynomial of degree two in one or more variables. A quadratic function is a polynomial function defined by a quadratic polynomial.

A parabola is the shape of a quadratic function's graph. The "width" or "steepness" of a parabola can vary and it can expand upward or downward.

The given equation of the red graph is,

F(x) = x²

The graph moved to the left 2 units, hence the equation can  be written as,

G(x) = F(x) + 2

G(x) = x² + 2

To know more about quadratic function follow

https://brainly.com/question/25841119

#SPJ7

What is the value of h?

Answers

Answer:

6.

Step-by-step explanation:

626×10−34

Answer:

h= 5.7

Step-by-step explanation:

trust me pls ill show work if u need me to

(HELP ASAP)In the figure, if OQ is the angle bisector of ∠POR, find m∠POQ.

Answers

Answer:

61°

Step-by-step explanation:

[tex]9x+7=13x-17[/tex], QO Bisector

[tex]x=6\\[/tex], Algebra

[tex]m<POQ = 60[/tex], Algebra/Sub

Can you help me solve this question

Answers

C is the answer I think

The mean of six numbers is 10. When
mother number is added the new mean is
9. Find the number added.​

Answers

Answer:

3

Step-by-step explanation:

If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:

x÷6=10

x=60

The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:

y÷7=9

y=63

63-60=3

So the new number added is 3

Answer:

3

Step-by-step explanation:

Mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Given the mean of 6 numbers is 10, then

[tex]\frac{sum}{6}[/tex] = 10 ( multiply both sides by 6 )

sum = 60

When another number x is added then count is 7

[tex]\frac{60+x}{7}[/tex] = 9 ( multiply both sides by 7 )

60 + x = 63 ( subtract 60 from both sides )

x = 3 ← the number added

what is 625.842 rounded to the nearest tenths

Answers

Answer:

625.8

Step-by-step explanation:

your welcome

Answer:

625.8

Step-by-step explanation:

a tenth is the first decimal place after the decimal, if there's a five next to it then you can add a number to that place, but since both of the numbers next to the tenth are under 5, we don't add an extra number to it, making the answer 625.8

A cube has a side length of 5x cm. What is the volume of the cube?​

Answers

Answer:

125x^3 cm^3

Step-by-step explanation:

The volume of a cube of side length s is V = s^3.

If the side length is 5x cm, then V = (5x cm)^3 = 125x^3 cm^3

I need help with this

Answers

Answer:

look at s d g

Step-by-step explanation:

What is the angle relationship between c and d?
Also what is the relationship between c and f?
(could be Vertical, alternate exterior, alternate interior, corresponding, same-side interior, same-side exterior, or linear pair.)

Answers

Answer:

1. linear pair (c and d)

2. alternate interior angles (c and f)

Step-by-step explanation:

Here, we want to get the relationship between angles

From what we have , we can see that angle d and angle c lie on a straight line

Thus, we have that angle c and angle d are supplementary angles since they will add up to give 180 degrees . So we can call the two a linear pair

For c and f, we can notice a z-like angle between the two

In this case, when we have a z-like angle, the relationship that exists between the two angles is that they are alternate interior angles

What value of x makes this equation true? 4x – 10 = 18

Answers

Answer:

7 is the correct answer. brainliest plese

Answer: x=7

4,7=28

28-10 =

18

THIS IS RIGT I PROMIS

or to do it yourself do

10 plus 18

then divide it by 4

URGENT PLEASE HELP!!

What is the equation of the linear function?
A. y = 1/2x + 3 B. y = -1/2x + 6 C. y = 2x + 3 D. y = -1/2x + 3

Answers

Answer:

y = -1/2x + 3

Step-by-step explanation:

(6,0) is on the linear function, 0= -1/2 × 6 + 3

I need the answer ...

Answers

ooh so the directions tell us what we need to find the entire line, which is made up of FH. so just add GH (15) and FG (6) together to find FH. so that is 21. FH=21.

The sum of three numbers is fifty-four. The second number is four times the first number, and the third number is six more than the first number. What are the three numbers?

Answers

Answer:

8 , 32 AND 14

Step-by-step explanation:

Use the law of cosines to write an expression equivalent to b

Answers

Given:

A triangle ABC.

The given expression for b is:

[tex]b=\sqrt{m+n-pq}[/tex]

To find:

The expression that is equivalent to b.

Solution:

According to the Law of Cosines,

[tex]b^2=a^2+c^2-2ac\cos B[/tex]

It can be written as:

[tex]b=\sqrt{a^2+c^2-2ac\cos B}[/tex]              ...(i)

We have,

[tex]b=\sqrt{m+n-pq}[/tex]                                ...(ii)

On comparing (i) and (ii), we get

[tex]m=a^2[/tex]

[tex]n=c^2[/tex]

[tex]p=2ac[/tex]

[tex]q=\cos B[/tex]

Therefore, the required values are [tex]m=a^2,n=c^2,p=2ac,q=\cos B[/tex].

someone, please help me with this, if you can explain it fully that'll be great. I have been sick and missed all the classes and idek the name of this topic
send help
thank you in advance

Answers

Step-by-step explanation:

i don't know how to do 1b and 2a hope these two helps :))

someone help me please i have 20 minutes left to finish this

Answers

Answer: 17. is A and 18 is most likely G

Step-by-step explanation:


[tex] \frac{1}{x^{2} - 1 } - \frac{1}{x - 1} [/tex]

Answers

Answer:

-x/x^2-1

Step-by-step explanation:

-x^2+x/x^3-x^2-x+1

x(-x+1)/(x+1)(x-1)(x-1)

-x/x^2-1

I WILL GIVE YOU BRAINLIEST ANSWER IF YOU GET IT CORRECT!






Laura is donating two boxes of books
to the library. One box has a mass of
9 kilograms. The other box has a mass
of 7 kilograms. What is the total mass
of the two boxes in grams?

Answers

Answer:

16000 grams

Step-by-step explanation:

9(1000) + 7(1000) = 16000

I will mark you brainlist!

Answers

Answer: 242

Explanation: you are trying to find the surface area. The formula for surface area is: Surface Area=2(width x length)+2(length x height)+2(height x width)
Since the question gives us the values of height, length and width. Just fill the information into the formula.
Surface Area=2(7x10)+2(10x3)+2(3x7)
Solve the parentheses:
Surface Area= 2(70)x2(30)+2(21)
Distribute the 2 into the parentheses:
Surface Area=140+60+42
Solve:
Surface Area=242

Help me and show work plz <3

Answers

Answer:

0.8^4

Step-by-step explanation:

Question :-

Write the expression using exponents.

[tex]0.8 \: · \: 0.8 \: · \: 0.8 \: · \: 0.8 \: = \boxed { ? }[/tex]

___________________

Solution :-

Given Information :-

Expression ➢ 0.8 · 0.8 · 0.8 · 0.8

To Find :-

The value of the expression using exponents.

Calculation :-

Since, the expression is actually the repetition of 0.8, so we can write this as,

⇒ 0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴

Calculating further, We get,

⇒ ( 0.8 )⁴ = [tex] \sf \frac{8 \times 8 \times 8 \times 8}{10 \times 10 \times 10 \times 10} = \frac{8⁴}{10⁴} [/tex]

⇒ ( 0.8 )⁴ = [tex] \frac{4096}{10000} [/tex]

Calculating further, We get,

⇒ ( 0.8 )⁴ = 0.4096

0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴ = 0.4096

____________________

Final Answer :-

0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴ = 0.4096

____________________

1 Mr. Ruiz made a map of his ranch on the grid shown below.
Cattle
Horses
Sheep
What percent of the ranch is used for sheep?
A 33%
B 25%
C 20%
D 16%

Answers

Answer: C, 20%

Hope this helps

Help plz..And No links!! I repeat No links!!

Answers

This is Right answer....

I hope you understand....

give me Brainliest.....

Thanks....

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