3x - 4y = 32
5x+2y = 10

Answers

Answer 1

Answer:

Point Form:  ( 4 , − 5 )

Equation Form:  x  =  4 ,  y  =  - 5

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:  ( 4 , − 5 )

Equation Form:  x  =  4 ,  y  =  - 5

Answer 2

Answer:

(4, - 5)

Step-by-step explanation:

3x - 4y = 32 ........ (1)

5x + 2y = 10 ....... (2)

(2) × 2 + (1)

13x = 52 ⇒ x = 4

3(4) - 4y = 32 ⇒ y = - 5

(4, - 5)


Related Questions

Make x the subject a=bx+c

Answers

Answer: [tex]x=\frac{a-c}{b}[/tex]

Step-by-step explanation:

Answer:

x = [tex]\frac{a-c}{b}[/tex]

Step-by-step explanation:

Given

a = bx + c ( subtract c from both sides )

a - c = bx ( isolate x by dividing both sides by b )

[tex]\frac{a-c}{b}[/tex] = x

Find the 97th term of the arithmetic sequence 25,29,33

Answers

d = 4
Formula: an = a1 + (n-1)d
a97 = 25 + (97-1) * 4
a97 = 25 + 384
a97 = 409
The 97th term is 409

If tan x = m, what is sin x in terms of m?​

Answers

Answer: m/sqrt(m^2)+1

Step-by-step explanation: if tan x = m, then the opposite angle is m and the adjacent angle is 1 so 1 squared plus m squared equals c squared. c = sqrt (1 + m^2)

sin x = opposite/hypotenuse = m/sqrt(m^2)+1

The value of sin x in terms of m is [tex]\frac{m}{\sqrt {m^2+1}}[/tex]

Trigonometry are identities used to express the sides and angles of a triangle.

According to SOH CAH TOA,

Tan θ = Opposite/Adjacent

Given that tan x = m

Opposite  = m

Adjacent = 1

Get the hypotenuse using the pythagoras theorem

Hyp² = Opp² + Adj²

Hyp² = m²+1²

Hyp² = m²+1

Take the square root of both sides

√Hyp² =√m²+1

Hypotenuse = √m²+1

Next is to get sin x:

Sin x = Opposite/Hypotenuse

Sin x = [tex]\frac{m}{\sqrt {m^2+1}}[/tex]

Hence the value of sin x in terms of m is

[tex]\frac{m}{\sqrt {m^2+1}}[/tex]

Learn more on trigonometry ratio here: https://brainly.com/question/13729598

what is 5 1/6 - 7 1/3

Answers

Answer:

-13/6 or -2 and 1/6 or -2.16

Step-by-step explanation:

The solution of expression in mixed fraction form is,

⇒ 2 1/6

We have to simplify the expression,

⇒ 5 1/6 - 7 1/3

Firstly we can change it into improper fraction,

⇒ 5 1/6 - 7 1/3

⇒ 31/6 - 22/3

Make denominator same by taking LCM of 6 and 3 which is 6,

⇒ 31/6 - 44/6

⇒ (31 - 44) / 6

⇒ 13/6

⇒ 2 1/6

Therefore, The solution of expression in mixed fraction form is,

⇒ 2 1/6

Learn more about the divide visit:

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Number 2.
A homeowner is wanting to pave his
drive way. He was quoted for every 240
bricks it would cost $30. Find the unit
rate.

Answers

240/30 is 8 i believe the answer is 8

The square of a number is 12 less than 7 times the number. What is the number? –4 or –3 –4 or 3 –3 or 4 3 or 4

Answers

Answer:

Answer: D (3 or 4)

Step-by-step explanation:

Which exponential function is represented by the graph?
O f(x) = 2( 1/2 )x
O f(x) = 1/2(2)x
O f(x) = 1/2(1/2)x
Of(x) = 2(2)x
PLEASE HELP MEE!

Answers

Answer:

f(x) = [tex]\frac{1}{2}[/tex] [tex](2)^{x}[/tex]

Step-by-step explanation:

Using the standard form of the exponential function

y = a [tex]b^{x}[/tex]

To find a and b , substitute ordered pairs from the graph

Using (0, 0.5 ), then

0.5 = a[tex]b^{0}[/tex] [

a = 0.5 , so

y = [tex]\frac{1}{2}[/tex] [tex]b^{x}[/tex]

Using (1, 1) , then

1 = [tex]\frac{1}{2}[/tex][tex]b^{1}[/tex] , thus

b = 2

f(x) = [tex]\frac{1}{2}[/tex][tex](2)^{x}[/tex] ← exponential function representing graph

asap I have 3 minutes

Answers

The second choice is the answer

Please help, thank you

Answers

Answer:

The answer is B

Step-by-step explanation:

8^1/3=2

A camera has a listed price of $632.99 before tax. If the sales tax rate is 9.7596, find the total cost of the camera with sales tax included.
Round your answer to the nearest cent, as necessary.
SH
5
?

Answers

Answer:

The number I got is 61.777 but you wanna round up so the answer is 61.78

The strength of magnetic field inside a
long current carrying straight solenoid is

Answers

Answer:

Sorry i have forgotten about this, sorry i couldn't answer this

Yoona gives guitar lessons for 70$ per session. She gives a 10% discount to students who come to her studio for her lessons.
How much does one of yoonas guitar lessons cost after the discount?

Answers

Answer:

$63

Step-by-step explanation:

70 x 10% = 7

70 - 7 = 63

Answer:

63

Step-by-step explanation:

6. $15 lunch: 20% tip

Answers

a 20% tip would be $3

one sixth of the students in a school marching band are in the percussion section, the percussion section has 6 students, how many students are in the marching band?

Answers

Answer:

36 students

Step-by-step explanation:

because if 1/6 is 6 students then you have to multiply the 6 by 6

Answer:Idk

Step-by-step explanation:

In triangle ABC, we can draw a perpendicular line segment from vertex C to segment AB. The intersection of AB and the perpendicular is called E. We know that BE is the shortest distance from B to and that is the shortest distance from A to CE because of the shortest distance theorem. Therefore, BC > BE and AC > AE. Next, add the inequalities: BC + AC > BE + AE. Then, BE + AE = BA because of the . Therefore, BC + AC > BA by substitution.

Answers

Answer:

CE..AE...Segment addition postulate

Step-by-step explanation:

i got these answers from the quiz

Answer:

1.A  

2.C

3.A

Step-by-step explanation:

Edgen2020


What is the slope of a line that is perpendicular to a line that has a slope of -7

Please help ya girl out :))

Answers

C. 1/7
The slope of a perpendicular line will be the opposite of the first slope given. So since the first slope is -7 then we make the negative positive and flip the numerator and denominator. So -7/1 will be 1/7

Find the simple interest earned, to the nearest cent, for the principal, interest rate, and time.



$530, 6%, 1 year

Answers

The simple interest earned on $530 at 5.5% rate for 1 years is $31.80.

How to calculate simple interest?

The formula for simple interest is expressed mathematically as;

I = P × r × t

Where I is interest, P is principal, r is interest rate and t is time period.

Given the data in the question;

Principal P = $530Interest rate r = 6%Time period t = 1 yearInterest I = ?

First, convert the rate from percent to a decimal form

Rate r = 6%

Rate r = 6/100

Rate r = 0.06

To determine the simple interest earned, plug the given values into the simple interest formula and solve for I.

I = P × r × t

I = $530 × 0.06 × 1

I = $530 × 0.06

I = $31.80

Therefore, the simple interest accumulated after 1 years is $31.80.

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A recipe that serves four calls 2 1/4 cups of butter. How many cups of butter are needed to serve 12

Answers

Answer:

6 3/4 cups.

Step-by-step explanation:

If 2 1/4 cups serves 4, you need to serve 12 so you would multiply the amount of butter by 3 and get 6 3/4 cups of butter.

What is the estimated product?

86 × 32

Answers

Answer:

2,752

Step-by-step explanation:

86x32 = 2752

Product: It means to multiply.

Answer:

I believe the estimated product is 2749

What is the answer to this math problem; 12 5/6x-14x+ 1/6x

Answers

Answer: wyd are you mad at me

Answer: Who are

Step-by-step explanation:

The Lugar family spends spring break camping. The campground charges a $5 entrance fee plus $10 per night to camp in the park. Which of the following graphs best represents the relationship between the number of nights the Lugar family camps and the cost?

Answers

Answer:

(0,5) , (1,15) , (2,25) , (3,35) , (4,45) {the cords for the answer because it might be different for you. Also this is not a straight line they are dots.

Step-by-step explanation:

For one night, you have to pay $5 for an entry fee, and $10 for a night. Which means its $15 for one night. This increases every night.

Write an expression that represents the given statements (use N to represent “a number”):

a) Two times a number plus three


b) Four less than a number


c) A number minus 5, then multiplied by 6

Answers

a) 2n + 3

b) n - 4

c) (n - 5) 6

A gardener measures the heights of 2 plants at the end of every week. The function y=3x+8.5 of plant A in centimeters at the end of x weeks. The function y=2.5x+14.5 gives the height of plant B in centimeters at the end of x weeks.

Answers

Answer: Plant A and plant B will be the same height at the end of week 12.

Step-by-step explanation: You don't care about this

The function n(t) = 825(1.12)t models the number of bacteria, n(t), after t weeks. What does 825 represent?

Answers

Answer: it represents “n” which is the number of bacteria

Step-by-step explanation:

Solve the problem. A vendor sells hot dogs and bags of potato chips. A customer buys 3 hot dogs and 5 bags of potato chips for $16.25. Another customer buys 5 hot dogs and 4 bags of potato chips for $19.50. Find the cost of each item.
A. $2.75 for a hot dog; $2.00 for a bag of potato chips
B.$2.50 for a hot dog; $1.75 for a bag of potato chips
C.$2.50 for a hot dog: $2.00 fora bag of potato chips
D. $1.75 for a hot dog; $2.50 for a bag of potato chips​

Answers

Answer

ok the answer is C

Step-by-step explanation:

1.75*4=7

.75*2=1.5

7+1.5=8.50

The answer is C because

32x+8+5=113 2x+8 +5=11 simplify in radical form

Answers

Answer:

The answer is in the picture below

Step-by-step explanation:

Which table of ordered pairs represents a proportional relationship?

Answers

Uhhhhhh hey!
we need to see the picture to know which table

Answer:

Insert the table

Step-by-step explanation:

There is no table above

Solve for n
2-2n=3n+172−2n=3n+17

Answers

Answer:

[tex]n = - \frac{170}{3} [/tex]

Ayan po ng answer sana makatulong

#carrying_learning

Which relation is a function?(click all that apply)

Answers

Answer:

Step-by-step explanation:

y=2x+1

y=x^2

The other one isn't a function because it won't pass the vertical line test. You can not use the same X in a function.

2b-m=5 what is the solution for m

Answers

Answer:

m = -5 + 2b

Step-by-step explanation:

2b - m = 5

-2b    -2b

-m = 5 - 2b

-1         -1

5 ÷ -1 = 5

-2b ÷ -1 = 2b

m = -5 + 2b

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