Substitution.
-3x - 2y = -12
y = 5x - 7

Answers

Answer 1

Answer:

-3x-2(5x-7)=-12

-3x-10x+14=-12

-13x+14=-12

-13x=-16

x=2


Related Questions

Which is the best simplification of (2^4 x 3*2)/(2 x 3)?

Answers

Answer:

16

Step-by-step explanation:

40 points. Factor the following polynomial.

49y2 – x2
A.
(7y – x)(7y + x)
B.
(7y + x)2
C.
(7y – x)2
D.
does not factor

Answers

Answer:

A

Step-by-step explanation:

49y² - x² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

49y² - x²

= (7y)² - x²

= (7y - x )(7y + x) → A

3. How would you explain to someone who has not yet studied trigonometry the
difference between an identity and an equation?

Answers

Answer:

Solving an equation means finding the value or values for which the two expressions are equal. ... An identity is an equation which is always true, no matter what values are substituted.

What is the difference between trigonometric identity and equation?

A trig identity is an equation that is true for all values of x;

For example:

sin²x + cos²x will always equal 1 no matter what the value of x.

There are some equations considered to be identities that are in fact not true all the time.

tan(2x) = 2tanx/(1 - tan²x) is not true when x = π/2 (right side is undefined).

A conditional equation is one that is true for a subset of the real numbers, i.e. for certain values of x, but not all.

For example:

sin²x - 1 = 0 is only true for some values of x.

sin²x = 1

sinx = ±√(1) = ±1

sinx = 1 or sinx = -1

x = sin-11 or x = sin-1(-1)

x = π/2 + 2kπ, k any integer or x = 3π/2 + 2kπ, k any integer (this can be condensed, but left this way for emphasis).

To learn more about trigonometric identities and equations refer to:

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Look at the figures. How can you prove the triangles are congruent?

Answers

You can prove it by the SSS postulate/theorem.

Just a bit help here, heh... -8a^0?

Answers

Answer:

-8 is the answer

Step-by-step explanation:

BCos any number or letter raised to the power zero is 1

-8*a⁰

-8*1

-8

This is more question of math

Answers

Answer: 7 I think

Step-by-step explanation:

PLEASE HURRY!!!
Write an explicit formula for [tex]a_{n}[/tex], the nth term of the sequence 35, 42, 49, ....

Answers

Answer:7n+28

Step-by-step explanation:

Hey can you help me fast!!!

Answers

Answer:

40 square feet

Step-by-step explanation:

I gotcha bro

4 x 12 = 48

48 - 3 x 2 - 1 x 2 = 48 - 6 - 2 = 40

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HELP I NEED HELP ASAP

Answers

Answer:

B

Step-by-step explanation:

i believe it's plot 1 & 2

I’m pretty sure the Answer is B

What is the surface area of the sphere in terms of pie?
(Answer only with right answers no links or you’ll be reported)

Answers

Answer:A

Step-by-step explanation:

because A= pi r2

A= pi 5 two

A=25 pi

Use a net to find the surface Area of the square pyramid The height of the pyramid is 9 yes and the base sides are all 2.5 yrds and its a square as a base

Answers

Answer:

[tex]Area = 51.68yd^2[/tex]

Step-by-step explanation:

Given

[tex]h = 9yd[/tex] -- height

[tex]a = 2.5yd[/tex] --- base sides

Required

Determine the surface area

The net is not given. So, I will solve directly.

The surface area is calculated as:

[tex]Area = a^2 + 2a\sqrt{\frac{a^2}{4} + h^2}[/tex]

So, we have:

[tex]Area = 2.5^2 + 2*2.5\sqrt{\frac{2.5^2}{4} + 9^2}[/tex]

[tex]Area = 6.25 + 5\sqrt{\frac{6.25}{4} + 81}[/tex]

[tex]Area = 6.25 + 5\sqrt{1.5625 + 81}[/tex]

[tex]Area = 6.25 + 5\sqrt{82.5625}[/tex]

[tex]Area = 6.25 + 5* 9.086[/tex]

[tex]Area = 51.68yd^2[/tex]

Please Answer!!! (I Give Brainliest!)

Answers

Answer:

48º

Step-by-step explanation:

Which figure is described below?
The points in a plane equidistant
from the endpoints of PQ.
A. ray
B. plane
C. 2 circles
D. line

Answers

Answer:

It’s a line

Step-by-step explanation:

The figure that is described below is D. A line

What is a Line?

This refers to the one-dimensional figure that has a length but does not have any width.

Hence, we can see that from the described figure, it is said that the points in a plane are equidistant from the endpoints of PQ, this shows that a line is being described because it is one-dimensional.

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What is the value 8x=5x+21

Answers

x = 7

8(7) = 5(7) + 21

56 = 35 + 21

56 = 56
X=7 is the answer

8x=5X+21
8x-5x=21
3x=21
X=21/3
X=7

gffdsfsdsfghjkjhgfdsasdfgbhnj utefjfifkcryekxe

Answers

Answer:

HUh? LOL

Step-by-step explanation:

Answer:

rnfjewjsknfkrngejabjfkba re

Step-by-step explanation:

A bag contains 30 ping-pong balls, each with a different number written on it from 1 to 30. What is the probability of selecting a ball with a number that is less than 13?

Answers

Answer:

...

Step-by-step explanation:

Answer:

so you have a 40% chance or 2/5 chance

Step-by-step explanation:

30 numbers in total

12 are less than 13

so you have a 12/30

simplify

2/5 = 0.4 or 40%

If the Kahn family brings in $5,000 each month and their housing is 32% of their monthly budget.
How much is their housing/mortgage?

Answers

Answer:

Their Hosing/Mortgage is $1,600

Step-by-step explanation:

5,000 / 100 = 50

50 x 32 = 1600

What is the 12th term of the geometric sequence if a1= 30 and r=4.

Answers

Answer:

         a₁₂ = 30·4¹¹ = 15·2²³

Step-by-step explanation:

[tex]a_n=a_1\cdot r^{n-1}\\\\a_{12}=30\cdot 4^{12-1}\\\\a_{12}=30\cdot 4^{11}=15\cdot2\cdot2^{22}=15\cdot2^{23}[/tex]

when should you record the information about a check that you wrote in your resister?

Answers

Answer:

At least once a month you should check your personal information, including your email and phone number, to make sure those things are up to date. Also, you may want to change your mobile and online banking password every three to four months.

PLEASE SOMEONE HELP ME ASAP!!!!! I’ll mark brainliest

Answers

Answer:

the first choice

Step-by-step explanation:

the first number is the tens place and the second number is the ones place so:

0,0,11,15...

HELP ASAP!!!!! BRAINLIEST AWARD!!!!!!
Choose one of the theorems about chords of a circle and state it using your own words.
Create a problem about chords that uses the theorem that you explained. Solve the problem.

examples below:

Answers

1.The Chord Intersection Theorem:

If 2 chords of a circle are AB and CD and they intersect at E, then

AE * EB = CE * ED.

Problem.

Two Chords AB and CD intersect  at E.  If AE =  2cm , EB = 4 and CE = 2.5 cm, find the length of ED.

By the above theorem : 2 * 4 = 2.5 * ED

ED = (2 * 4) / 2.5

= 3.2 cm.

2.1. A given chord on a circle is perpendicular to a radius through its center, and it is at a distance less that the radius of the circle.

2. A circle of center O has a radius of 13 units. If a chord AB of 10 units is drawn at a distance, d, to the center of the circle, determine the value of d.

3. From question 2, the radius = 13 units, length of chord = 10 units and distance of chord to center of the circle is d.

A radius that meet the chord at center C, and divides it into two equal parts.

So that;

AC = CB = 5 units

Applying Pythagoras theorem to ΔOCB,

OC = d, CB = 5 units and OB = 13 units

=  +  

169 = 25 +  

169 - 25 =  

144 =  

⇒ d =  

      = 12 units

Therefore, the chord is at a distance of 12 units to the center of the circle

Calculating Circumference

Answers

Circle A is r=1.5 d=3 c=9.42478
Circle B is r=5 d=10 c=31.41593
Circle C is r=2.25 d=4.5 c=14.13717
Circle D is r=3 d=6 c= 18.84

Solve x + 20 = 24.
The solution is x =

Answers

Answer:

4

Step-by-step explanation:

24 - 20 = 4

It’s would be x=4 because 20+4=24

can you pls help!!!!??!?!?!,!

Answers

What angle do u need to know?

I need an answer! NO LINKS PLS! il give brainlist

Answers

C) 12 would be correct.

The more the better! Mark with crown please!

Kyleigh invested $2800 in an account paying an interest rate of 5 1/2% compounded annually Ariana invested $2800 in an account paying in interest rate of 5 3/4%compounded continuously after 12 years how much more money with Ariana having her account then Kylie to the nearest dollar?

Answers

Answer:

$259

Step-by-step explanation:

\text{Rate 1: }5\tfrac{1}{2}\%=5+1/2=

Rate 1: 5  

2

1

​  

%=5+1/2=

\,\,5.5\%\rightarrow 0.055

5.5%→0.055

\text{Rate 2: }5\tfrac{3}{4}\%=5+3/4=

Rate 2: 5  

4

3

​  

%=5+3/4=

\,\,5.75\%\rightarrow 0.0575

5.75%→0.0575

\text{Calculate Final Amount for Kylie}

Calculate Final Amount for Kylie

\overline{\phantom{\text{Calculate Final Amount for Kylie}}}

Calculate Final Amount for Kylie

​  

 

\text{Compounded Annually:}

Compounded Annually:

A=P(1+r)^t

A=P(1+r)  

t

 

P=2800\hspace{35px}r=0.055\hspace{35px}t=12

P=2800r=0.055t=12

Given values

A=2800(1+0.055)^{12}

A=2800(1+0.055)  

12

 

Plug in values

A=2800(1.055)^{12}

A=2800(1.055)  

12

 

Add

A=5323.381

A=5323.381

Use calculator

\text{Calculate Final Amount for Ariana}

Calculate Final Amount for Ariana

\overline{\phantom{\text{Calculate Final Amount for Ariana}}}

Calculate Final Amount for Ariana

 

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe  

rt

 

P=2800\hspace{35px}r=0.0575\hspace{35px}t=12

P=2800r=0.0575t=12

Given values

A=2800e^{0.0575(12)}

A=2800e  

0.0575(12)

 

Plug in

A=2800e^{0.69}

A=2800e  

0.69

 

Multiply

A=5582.4035

A=5582.4035

Use calculator (with e button)

\text{How much more money Ariana has:}

How much more money Ariana has:

5582.4035-5323.381

5582.4035−5323.381

259.0225

259.0225

Use the distance formula to slove how far the points are on the a coordinate plane. Points are (7,5)(3,2)

Answers

Answer:

distance is 5 units

Step-by-step explanation:

plug in values

Choose the inequality that represents the following graph.

Answers

Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The arrow is pointing to the right which means its greater than, and the circle is open so it doesn't include 4

which shows the solution in the inequality? -2x > 18
A. x >9
B. x<-9
C. x>-9
D.x<9
HELP PLEASE

Answers

Answer: x<-9

Step-by-step explanation:

-2x>18

-2x/(-2)<18/(-2)

x< -9

The value of the solution in the inequality is,

⇒ x < - 9

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The inequality is,

⇒ - 2x > 18

Now, We can simplify as;

⇒ - 2x > 18

⇒ - x > 18/2

⇒ - x > 9

⇒ x < - 9

Thus, The value of the solution in the inequality is,

⇒ x < - 9

Learn more about the inequality visit:

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A circle is centered at the point (-7,-1) and passes through the point (8, 7). The radius of the circle is ___ units. The point (-15, __ ) lies on this circle

Answers

Answer:

(x + 7)2 + (y + 1)2 = r2.

To get we use point (8, 7): (8 + 7)2 + (7 + 1)2 = r2, r2 = 225 + 64 = 289 = 172.

So, equation of circle: (x + 7)2 + (y + 1)2 = 289

Step-by-step explanation:

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