Find the solution of the system of equations.
2.x + 4y = -14
– 2y = 9

Answers

Answer 1

Answer:

x = 4, y = -9/2 (-4.5)

Step-by-step explanation:

Using the second equation, we can divide both sides by -2 and get

y = 9/-2

y = -9/2

Then, we plug this y value into the first equation and get:

x + 4(-9/2) = -14

Simplify:

x - 18 = -14

x = 4


Related Questions

Find the unknown sizes of angles in the following figure (I need step by step explanation and i might give brainliest):​

Answers

Answer:

x = 54° , y = 29°

Step-by-step explanation:

The sum of the 3 angles in Δ ABC = 180° then

x = 180° - (72 + 54)° = 180° - 126° = 54°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of Δ CQR , then

y + 25° = x

y + 25° = 54° ( subtract 25° from both sides )

y = 29°

Answer:

x = 54

y = 29

Step-by-step explanation:

First, find the magnitude of x. To do this, add the angles inside triangle ABC, which means to add 72 + 54 + x which is equal to 180 because of the rule, the sum of the interior angles of a triangle is 180. So, when the equation is simplified, you get the answer as x = 54. Then, find the magnitude of y. The magnitude of an angle drawn around a point on a straight line is always 360, and the magnitude of the same point, but only on one side of the straight line is always 180. So, we can say that the unnamed angle in the triangle CQR is 180-x, which means 180-54 because we got x as 54 earlier. Therefore, the magnitude of the unnamed angle is 126. Now, apply the same rule we used before, the sum of the interior angles of a triangle is 180, to the triangle QCR. 25 + 126 + y = 180. When this is simplified, 29 is obtained.

To find x,

 72 + 54 + x = 180 (the sum of the interior angles of a triangle is 180)

        126 + x = 180

126 + x - 126 = 180 - 126

                  x = 54

To find y,

25 + 126 + y = 180

         151 + y = 180

 151 + y - 151 = 180 - 151

                  y = 29

Please help me with this question

Answers

Answer-angle DBC is 79, Angle ABD is 31 and angle ABC is 110

Explanation-

rewrite the fraction 1/6 as a division expression with the same numbers.

Answers

Answer:

1 ÷ 6

Step-by-step explanation:

1/6 is the same as 1 ÷ 6

In the same way, 2/3 would be 2 ÷ 3

Hope this helps!

Which of the following is correctly written in Standard Form?
A.) 6x - 2y=4
B.) y=6/5x + 4
C.) 6/5x + 3y= 8
D.) -6x + 3y= 8

Answers

D.) -6x+3y=8 is your answer

Answer:

A. 6x-2y=4

Step-by-step explanation:

Find the value of y that will make these two triangles congruent:

Answers

Answer:

7

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

first you'd make 4y+12=32

get rid of 12           -12 =-12

                               4y=20

             divide        4 =4

                                y=5

i need serious help guys!!!!!!

Answers

Answer:

b.

Step-by-step explanation:

Autumn spent a third of her weekly allowance on a shirt she liked. In order to earn more money her parents allowed her to mow the grass for $20. What is her weekly allowance if she ended with $31

Answers

:11
Your welcome have a good day

The U.S. population in 1910 was 92 million people. In 1990, the population was 280 million. This could either be a linear or exponential model. You will create both and then look at the true population increase and decide which model is closer the the true growth.

The actual U.S. population data (in millions) was:

Which model provides a better forecast for the U.S. population for the year 2030, linear or exponential or neither?

Question 5 options:

Linear model


Exponential model


Neither

Answers

Answer:

The linear model means that there is a uniform increase and in this case of US population from  92  million people in  1910  to  250  million people in  1990 .  

This means an increase of  250 − 92 = 158  million in  1990 -1910 = 80  years or   158 80 = 1.975  million per year and in  x  years it will become   92 + 1.975 x  million people. This can be graphed using the linear function  1.975 ( x − 1910 ) + 92 ,

graph{1.975(x-1910)+92 [1890, 2000, 85, 260]}

The exponential model means that there is a uniform proportional increase i.e. say  p %  every year and in this case of US population from  92  million people in  1910  to  250  million people in  1990 .  

This means an increase of  250 − 92 = 158  million in  1990 − 1910 = 80  years or  

p %  given by  92 ( 1 + p ) 80 = 250  which gives us  ( 1 +p ) 80 = 250 92  which simplifies to  p = ( 250 92 ) 0.0125 − 1 = 0.0125743  or  1.25743 % .  

This can be graphed as an exponential function  92 × 1.0125743 ( x − 1910 ) , which gives population in a year  y  and this appears as graph{92(1.0125743^(x-1910)) [1900, 2000, 85, 260]}

Step-by-step explanation:

Hope this helps

What’s the answer to this question?

Answers

Answer:

x should equal 0

Step-by-step explanation:

Is (10^-2)3 = (10^-3)2 the same?​

Answers

Answer:

i think it is same let me know

Find the domain of f(x) = 3x for the range {-7, -1, 3, 11}.
=

Answers

Answer: i dont know

Step-by-step explanation:

PLS HELP WILL MARK BRAINLIEST, NO FAKE ANSWERS OR WILL BE REPORTED.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is ~

A. [tex]-{x}^{2}+x+3[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

The solution is in attachment ~

Pencils cost 9p each.

How much do 28 pencils cost?

Answers

Answer:

252p or £2.52

Step-by-step explanation:

If one pencil is 9p, 28 pencils would be 9 × 28 which is 252p or £2.52.

Hope this helps!

Answer:

252p

Step-by-step explanation:

find the decimal equivalent of ¾ ounce to the thousandths place

Answers

0.75

Explanation:

Every 1/4 is 25. If you want to calculate them, then you're going to need 1/4 to find 25. In some other cases, 25, can also be written as another decimal. Such as, 4/100.

100/4 is 25. For example:

Woah! You have 3/4 of a dollar. You're really saving up money fast!

This example means that the person has 75 cents.

For an ounce, that would mean 0.04 pounds.

(a) What additional information is needed to prove the triangles are congruent by ASA Postulate? Explain.
(b) What additional information is needed to prove the triangles are congruent by the HL Theorem? Explain.

Answers

Answer:

A)

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

B)

H-L (Hypotenuse-Leg) Congruence Theorem. If the hypotenuse and leg in one right triangle are congruent to the hypotenuse and leg in another right triangle, then the two triangles are congruent.

Hope this helped

please help me ill give brainliest plz give me a simple answer​

Answers

Answer:

this is just trial and error. Answer is 3

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

Answer:

52.5

Step-by-step explanation:

Just subtract 65-12 which is 53. Take away 0.5 to get 53.5

Answer:

The sunflower was 52.9 inches when the gardner last measured.

Step-by-step explanation:

a) x + 12.1 = 65 in.

b) To solve this problem, use inverse operations to find x variable. Since this problem has addition, we will have to use subtraction. 65 - 12.1 = 52.9. So, 52.9 would be your answer.

-kiniwih426

What’s the slope of (4,1) and (5,-3)

Answers

Answer:

-4

Step-by-step explanation:

can someone help me

Answers

V = 85
All angles in a triangle equal to 180

mathematics
Solve k - 120= 768 Find the value of k

Answers

Answer:

[tex]k - 120 = 768[/tex]

add 120 to both sides of the equation

[tex]k - 120 + 120 = 768 + 120[/tex]

120 on the left hand side of the equation cancels therefore isolating the variable, k

[tex]k = 888[/tex]

Helppppp pleaseeee I will mark brainliest

Answers

The answer is 25 square feet

what is larger a meter or 3feet

Answers

Answer:

Meter by a bit

pls help me i don’t get this at all

Answers

Step-by-step explanation:

oh, come on ! you don't understand what ordered pairs or point coordinates stands for ?

it is simple, the first number is the x value, and the second number is the y value.

so, all we need to do here is to take every pair, put their values in the places of x and y in the inequality, and see if it is true with these specific values or not.

if yes, then that pair is a solution.

(6, -33)

-33 >= -8×6 +7

-33 >= -48 + 7

-33 >= -41 true, -33 is indeed bigger than -41

in the same way as -1 is bigger than -2.

(-1, 12)

12 >= -8×-1 + 7

12 >= 8 + 7

12 >= 15 false

(8, -65)

-65 >= -8×8 + 7

-65 >= -64 + 7

-65 >= -57 false

(2, -1)

-1 >= -8×2 + 7

-1 >= -16 + 7

-1 >= -9 true, -1 is bigger than -9

(-6, 47)

47 >= -8×-6 + 7

47 >= 48 + 7

47 >= 55 false

A table of values for a linear function is shown below. What is the slope of the line represented by the values in the table?

Answers

The answer is M=15/12

A drill press operator requires 1 2/3 minutes to drill through 1 inch of steel. How long will it take him to drill through four-fifths inch of the same steel?

Answers

Answer: It will take him 1.3

Step-by-step explanation:

1 2/3 divided by 5 is 0.333

0.333 times 4 is 1.3

If a hole is 7 feet deep and 4 feet wide how much dirt is in the hole?

Answers

Answer:

3 is the correct answer tbyvcrdgevzc

Help please!! Geometry

Applying angle pair relationships

Answers

Answer:

m∠2 = 75°

m∠1 = 105°

Step-by-step explanation:

1. First, we should recognize that the angle that's 75° and ∠2 are alternate interior angles, formed on the interior of the opposite sides of the transversal. Alternate interior angles are congruent, so m∠2 = 75°.

2. Next, ∠2 and ∠1 are a linear pair, meaning their angle measures add up to 180°. Considering that m∠2 is 75 degrees, we just have to subtract 75 from 180, and we get the measure of ∠1.

[tex]180-75[/tex] [tex]105[/tex]

Therefore, m∠1 = 105°.

Find the equation of the line that passes through (1,4) and is parallel to3x+y+2=0

Answers

Answer:

y=-3x+7

Step-by-step explanation:

Step 1:

Make your thing into y=mx+b

3x+y+2=0 is the same as y=-3x-2

Step 2:

Plot your point at (1, 4)

Step 3:

Plot different points using your slope of rise 3 move 1 (remember you have a neg slope so keep that in mind)

Step 4:

Draw your line thru the points.

See below for an image. Hope that helped

help me!!!!!!! please please please

Answers

Answer:

y and 65 is equal

y= 65°

....................

65 because it's all equal sides which means they equal the same :) hope this helped!

Solve the equation.
b^2 = 48

Answers

Answer:

b=6.92820323

Step-by-step explanation:

To find b, you would do the opposite from ^2 which is the square root. So the square root of 48. That is 6.92820323

Answer:

b ≈ 6.928 or 4√3

Step-by-step explanation:

b² = 48. To find b, we need to square root both sides (we are doing the opposite of squaring):

b = √48 = 4√3 or ≈ 6.928

Hope this helps!

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