Mathematics High School

The equations -6x + 3y = 6 and x² + y = 10 intersect at the
coordinates (a, b) and (c,d).
(Hint: (a, b) is in Quadrant III)
What is the value of a?
What is the value of b?
What is the value of c?
What is the value of d?

Answers

Answer 1

The values of the letters in coordinates (a, b) and (c,d) are;

a = -4

b = -6

c = 2

d = 6

We are given two equations;

-6x + 3y = 6  ---(eq 1)

x² + y = 10 ---(eq 2)

We are told that they intersect at coordinates; (a, b) and (c, d).

Let us make y the subject in eq 2 to get;

y = 10 - x²  --(eq 3)

Let us put 10 - x² into eq 1 to get;

-6x + 3(10 - x²) = 6

expanding further gives;

-6x + 30 - 3x² = 6

rearranging gives;

3x² + 6x - 24 = 0

Using online quadratic equation solver, we have;

x = -4 and x = 2

Putting x = -4 into eq 3 gives;

y = 10 - (-4)²

y = 10 - 16

y = -6

Putting x = 2 into eq 3 gives;

y = 10 - (2)²

y = 10 - 4

y = 6

Thus, the coordinates are; (-4, -6) and (2, 6)

Comparing with (a, b) and (c,d), we have;

a = -4

b = -6

c = 2

d = 6

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Answer:  The correct answer is:  " 11 .1 " .

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Step-by-step explanation:

Given:

" [tex]1.9h + 3.5 =[/tex] ? " ;  Solve:  when: " [tex]h = 4[/tex] " ;

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Answer:

ITS B

Step-by-step explanation:

well f and t are congruent and st and fl are congruent too and o has vertical angles. so I hope the answer is B

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M is the midpoint of PQ. MQ=5x+8 and PQ = 6x+56, find PM

Answers

Answer:

PM = 58

Step-by-step explanation:

The question tells us that the full line has a value of 6x+56. The midpoint divides this line into equal pieces. We are also given the value of half (MQ) of the line (5x+8). By subtracting 5x+8 from 6x+56, we can figure out the value of the other half of the line (PM).

This gives us the expression for PM: x+48

Now, since these are both the two parts of the midpoint, by definition, we know they're equal.

You equal both equations and get x=10

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3 1/6 x 1/7 reduce to lowest terms

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Answer:

19/42

Step-by-step explanation:

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Answer:

search up different types of decimals and answer it to the same one that looks the same as the one on the paper .

Step-by-step explanation:

A. Yes because it’s a repeating decimal

B. No because it’s a decimal that neither terminates nor repeats.

C. No for the same reason as B

D. Yes because it’s a terminating decimal

15. Find the values of y and y.
(18y+5)°(10r - 61)°(x + 10)°

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This is the answer plz tell me if its wrong

What is a strategy for dividing 428 by 107?

Answers

Answer:

4

Step-by-step explanation:

428÷107

Use the 1 st

 digit 4 from dividend 428

107)1

107)428

​

 

​ Since 4 is less than 107, use the next digit 2 from dividend 428 and add 0 to the quotient

107)02

107)428

​

 

​Use the 2nd

 digit 2 from dividend 428

107)03

107)428

​

 

​

Since 42 is less than 107, use the next digit 8 from dividend 428 and add 0 to the quotient

107)004

107)428

​

 

Use the 3rd

 digit 8 from dividend 428

107)005

107)428

​

 

​ Find closest multiple of 107 to 428. We see that 4×107=428 is the nearest. Now subtract 428 from 428 to get reminder 0. Add 4 to quotient.

107)0046

107)428

​

 107)428

​

 107)9990

​

 Since 0 is less than 107, stop the division. The reminder is 0. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

Quotient: 4

Reminder: 0

WILL GIVE BRAINLIEST- Geometric Proofs

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Answer:

Angle ACE and Angle ABE are congruent because they both share a side of Line Segment AE

Step-by-step explanation:

Which sequence shows The numbers in order from least to greatest?
(A.) -2/3, 1/2, -3/4
(B.) 1/2, -2/3,-3/4
(C.)-3/4, -2/3, 1/2
(D.)-2/3, -3/4, 1/2

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Answer:33 as an answer

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

ratio x : y is 3: 1
Which of the following statements is correct?
A x 3/4 of y
B y is 1/3 of x
C x is 1/3 of y
D y is 1/4 of x

Answers

Answer:

D

Step-by-step explanation:

1+3=4

1 out of 4 =1/4

remember x is bigger than y

Solve for the value of y

Answers

8y-2 = 30 since that is a 90 degree and the above angle is 60 degrees. 90-60=30


8y=32
y=4
Given that the m < 60° and m < (8y — 2) add up to 90° because they are complementary angles:

We could simply establish the following formula to solve for y:

m < 60° + m < (8y — 2)° = 90°

60° + 8y — 2 = 90°

58° + 8y = 90°

Subtract 58° from both sides

58° — 58° + 8y = 90° — 58°

8y = 32°

Divide both sides by 8:

8y/8 = 32°/8

y = 4


Therefore, the value of y = 4°

Double check whether we derived with the correct answer:

m < 60° + m < (8y — 2)° = 90°

m < 60° + m < 8 (4)— 2° = 90°

m < 60° + m < 32 ° — 2° = 90°

m < 60° + m < 30° = 90°

m < 90° = 90° (True statement). Thus, we have the correct value for y.

Please mark my answers as the Brainliest if you find my explanations helpful :)

ول
니,

If Susie takes a test with 50

questions and gets 4/5 of them

correct, how many questions did
she miss?

Answers

Answer:

10

Step-by-step explanation

4/5=40/50 50-40= 10.

Help plsssssssssssssss

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The first graph and then the third graph and then the fifth graph and then the 4th graph.

round 523 to the nearest ten

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Answer:

523 to the nearest ten is 520

Kail and Toni rented a
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and paid $ 179.55. How much
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Answers

Answer:

$19.95 per hour

Step-by-step explanation:

1. To find the cost per hour, we have to divide the total amount paid by the number of hours!

2. (Solving)

[tex]\frac{179.55}{9}[/tex] [tex]19.95[/tex]  

Therefore, the answer is $19.95 per hour.

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Thanks!

Answers

Answer:

2 [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

3/4 + 5/6  (lowest common denominator = 12)

= 9/12 + 10/12

= 19/12

19/12 ÷ 2/3  (reciprocate 2/3 to replace division sign by multiplication sign)

= 19/12 x 3/2

= 57/24

= 19/8

= 2 [tex]\frac{3}{8}[/tex]

Hope this helps :)

Find the equation of a line that passes through (5,-3) and is perpendicular to y = x.

a) y=x+2
b) y=x-8
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Answers

Answer:

B

Step-by-step explanation:

X is 5 and y is -3, so y is x minus 8, which is y=x-8

6x - 9 = 2x +7 what is x

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Answer:

x = 4

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6*x-9-(2*x+7)=0

Pull out like factors :

  4x - 16  =   4 • (x - 4)

Solve :    4   =  0

Add  4  to both sides of the equation :

                     x = 4

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

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Answer:

genius confirmed?? O.o

Step-by-step explanation:

Manz is too goated on da stix

Wait what’s the question



2. A rectangle has an area of 12 square feet and a length of
5 feet. What is its width?

Answers

Answer:   ¹²/₅ ft   or  2.4 ft

Step-by-step explanation:

Area of rectangle = l × w

                  12 ft²  =  5ft × w

                        w = ¹²/₅ ft   or  2.4 ft

∴ the width is ¹²/₅ ft   or  2.4 ft

Evaluate the expression when c=4 and d=8.
5c+d

Answers

I think it is helpful for you!!!!

Please make me brainliest..

Answer:

5c + d

putting value of c and d,

5 × 4 + 8

20 + 8

28

HOPE THIS HELPS YOU

HAVE A NICE DAY

This question is really bothering me: A restaurant has a square floor with an area of 324 m². Sketch the resaurant floor. What are its dimensions?

Answers

324= 18m

I am positive 18m is the correct answer, sorry if I am wrong. Make sure to check before submitting

The required dimensions of the restaurant is 18 by 18 meters.

Given that,

This question is really bothering me: A restaurant has a square floor with an area of 324 m². Sketch the restaurant floor. dimensions are to be evaluated.

What is surface area?

Surface area is defined as the collective region, whose mathematical expression can be formed.

here,

Let the sides of the square restaurant be a,
The area of the restaurant =  area of the square
324 = a²
a = √324
a = 18 meters,

Thus, the required dimensions of the restaurant are 18 by 18 meters.

Learn more about surface area here:
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If B is the midpoint of AC and AC = 40, what is the measure of BC?

BC =

Answers

Answer:

BC = 20

Step-by-step explanation:

Since B is the midpoint of AC , then

AB = BC = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 40 = 20

Sam bought a toy for $400 and sold it at a profit of 10% of the cost price. Calculate the SELLING PRICE of the toy.

Answers

Answer:

10% = 0.1 x 400 = 40

400 - 40 = 360$

Pls explain!!!
Pls and thank you

Answers

Answer:

A = L x W

A = 3 3/4 x 1 1/2

A = (you do the math, 3 3/4 x 1 1/2 : )

Step-by-step explanation:

Hope this helps! Please gie brainliest

Answer:

The formula to find the AREA of a rectangle is as shown A=l x w

L meaning Lenght, which in this case is 3 [tex]\frac{3}{4}[/tex] ft.

W meaning width, which in this case is 1 [tex]\frac{1}{2}[/tex] ft.

Now that you know what the length and the width are, you want to multiply them like the formula A = l x w

A= 3 [tex]\frac{3}{4}[/tex]  x 1 [tex]\frac{1}{2}[/tex]

You want to create the fractions into a mixed number.

3 3/4 = 15/4

1 1/2 = 3/2

Now when you multiply it should look like this :

[tex]\frac{15*3 }{4*2}[/tex]  or 15x3 / 4x2

This will get you the mixed number of 45/8

Then you can covert the mixed number to a whole number which will be

5 5/8

This will get you the final answer of 5 [tex]\frac{5}{8}[/tex] ft. This is your area.

I hope this helped.

Find the sets of numbers to which
belongs.
Select all that apply.
D A. integers
B. irrational numbers
C. natural numbers
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E. whole numbers
F.
real numbers

Answers

Answer:

4/7 = 0.57142857……

Step-by-step explanation:

integer NO cause it has a decimal

irrational NO cause it can be written as a fraction

Natural NO cause it has decimals

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whole NO cause decimals

Real YES cause it’s a number

i need help cause i dont know this i was out of school that day

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Answer:

0.315

Step-by-step explanation:

act like the fraction is a division problem divide 6 by 19.

this decimal is a repeating decimal so it will never end rounded to the thousandth place it is 0.315

solve the following eqation: 4m - 12 = 0

Answers

Answer:

m=3

Step-by-step explanation:

Move the 12 over to the other side so it will be 4m=12, then divide each side by 4 to get m=3

Answer:

m=3

Step-by-step explanation:

4m-12=0

4m-12+12=0+12

4m=12

4m/4 =12\4

m=3

The second hand of the clock is 3.7 cm long. Find the linear speed of the tip of the second
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O 0.00646 cm per sec
O 172.03 cm per sec
O 0.387 cm per sec
2.87 cm per sec

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Answer:

I'd look it up would probably work if not see if someone else might be able to help you out with this

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