Solve the simultaneous equations 3x²+ 2x = y²- y + 50, 2x = y +5.​

Answers

Answer 1

Answer:

(x,y) = (4,3), (20,35)

Step-by-step explanation:

3x²+ 2x = y²- y + 50

2x = y +5

y=2x-5, sub into 3x²+ 2x = y²- y + 50

[tex]3x^2+2x=(2x-5)^2-(2x-5)+50\\3x^2+2x=4x^2-20x+25-2x+5+50\\0=x^2-24x+80\\x=20 ,4\\[/tex]

sub into y=2x-5

y= 35, 3


Related Questions

PlEASE HELP ASAP!!!! USATEST PREP DUE TODAY!!!Please No Links!!!

Answers

okey no links here u go

Answer:

2

Step-by-step explanation:

[4^2/(-1+3)^3+2*10] / (10+1)

= [16/8+20] / 11

= 22/11

=2

Hope this helps :) Giving me brainiest would help a lot :))

Two sides of a right triangle are 8 and 12. Find the missing side of 8 and 12 are a leg and a hypotenuse.​

Answers

Answer:

8.94 if no rounding is necessary.

Step-by-step explanation:

Pythagorean Theorem. What we know is only one leg and the hypotenuse, sooo...

8² + b² = 12²

64 + b² = 144

Subtract 64 from both sides...

64 - 64 + b² = 144 - 64

b² = 80

[tex]\sqrt{80}[/tex] = 8.94 if you're not rounding.

What is an equation of the line that passes through the points (-4, 8) and
(2, -1)?

Answers

Answer:

Kayla,  learn this,  :D  more math is based on it.  Just learn it, just memorize the following

Step-by-step explanation:

m = slope

m = rise / run

m = y2 - y1   /  x2 - x1       ( this is still rise over run but in point form )

they give us two points to plug into the above formula

P1 = (-4, 8 )  in the form of ( x1, y 1 )

P2 = (2, -1)  in the form of (x2, y2 )

now plug those into the above formula

m = ( -1 - 8 ) / ( 2-(-4) )

m = -9  /  ( 2 + 4 )

m = -9 / 6

m = - 3/2

since we know the slope now  , we can use the point slope equation of

y - y1 = m ( x - x1)

use the m we found and either point  , P1 or P2

y - 8 = -3/2(x -(-4) )

y-8 = -3/2(x + 4)

y-8 = -3/2x - 6

y = -3/2x -6 + 8

y = -3/2x + 2

there you go  :)

Find the missing angle

Answers

Should be 29, as the angle in the middle is 127.

Answer:

29 degrees I believe

Step-by-step explanation:

If each triangle is worth 180 degrees, then the answer is 29 degrees.

I NEED HELP.
2X^2-8X= BUT FACTORISE!

Answers

Answer:

This is my answer

2x(x-4)

Step-by-step explanation:

2x(x-4)

[tex]\tt{} {2x}^{2} - 8x[/tex]

[tex]\tt{}2x \times (x - 4)[/tex]

Juan saved x dollers last month. This month he saved $8 more than 3 times the amount he saved last month. he saved a total of $141 how much did he save last month. Write an equation and solve. ​

Answers

Answer:

he save last month $33.25

Step-by-step explanation:

Let us assume last month saving be x

This month saving be 3x + $8

And, the total would be $141

So based on the above information

The equation is

x + 3x + $8 = $141

4x + $8 = $141

4x = $141 = $8

4x = $133

x = $33.25

Hence, he save last month $33.25

Therefore the same is relevant

What is the circumference of the pizza?

Answers

the circumference of the pizza is 37.7 inches

Answer:

28.29 inch.

Step-by-step explanation:

So diameter is 9.

Circumference = pi x d

= 22/7 x 9

=28.29inch.

Which theorem

Thank you for anyone who answers

Answers

Answer:

AAS

mark me brainliset

PLEASE ANSWER ASAPPPP

Answers

Answer:

If they are parallel then the answer should be 28m

Step-by-step explanation:

Answer:

98 m

Step-by-step explanation:

105/30 = 3.5

3.5 x 28 = 98

Marking as brainliest, if u answer this an comment ur inst

Answers

-4y^3-2 is the answer i think

Evaluate the expression. 1.8 plus (8.9 - 2.9)

Answers

Answer: 7.8

Explanation: 8.9 - 2.9 = 6.0 + 1.8 = 7.8

Please help with these math problems. Please don't just do it for points I really need helpp

Answers

Answer:

Disclaimer: I'm not sure because the numbers are too blurry. If my numbers don't match yours, just replace them in my work and recalculate them.

1) not tangent

2) tangent

3) not tangent

Step-by-step explanation:

If they are tangent, the triangles formed will be right triangles.

Check using the Pythagorean theorem:

1) 18² = 14.4² + 11.7²

324 = 207.36 + 136.89

324 ≠344.25       not tangent  

2) 7.5² = 4.5² + 6²

56.25 = 20.25 + 36

56.25 = 56.25     tangent

3) 20² = 12² + 12²

400 = 144 + 144

400 ≠ 288        not tangent

Darryl has 2/3 of a bag of dog food. His dog eats 4/9 of a bag per week. How many weeks will the dog food last?

Answers

it should last him 1/3

A fraction is a part of a whole and it can be expressed as a quotient, in which the numerator is divided by the denominator.

The number of weeks the dog will take to finish 2/3 of a bag of dog food is 1 (1/2) weeks.

What is a fraction?

A fraction is a part of a whole and it can be expressed as a quotient, in which the numerator is divided by the denominator.

We have,

The amount of dog food in the bag = 2/3

The amount of dog food the dog eats per week = 4/9

We need to find the number of weeks that the dog finishes 2/3 of dog food.

The number of weeks:

1 week = 4/9 dog food

Multiply both sides by (9/4 x 2/3)

(9/4 x 2/3) x 1 week = (9/4 x 2/3) x 9/4 dog food

3/2 weeks = 2/3 dog food

[ 3/2 = 1 (1/2) ]

1(1/2) weeks = 2/3 dog food

This means in one and a half weeks the dog finished 2/3 of dog food.

Thus the number of weeks the dog will take to finish 2/3 of a bag of dog food is 1 (1/2) weeks.

Learn more about fractions here:

https://brainly.com/question/10354322

#SPJ5

Figure B is a scaled copy of Figure A. Figure A Figure B​

Answers

Answer:

I believe 2.

Step-by-step explanation:

All the lengths can be multiplied by 2 to equal the lengths of the larger triangle.  However, I am not positive.

Answer:

2

Step-by-step explanation:

22x2=44

10x2=20

32x2=64

40x2=80

all of them match so yes they are equivalent

solve 20 × 3/10 tell me​

Answers

Answer:

6 is the answer see please

Answer:

6

Step-by-step explanation:

20( .30 ) = 6

Hope this helps dude

Need help to solve this

Answers

Answer:

332s+(27xm)

Step-by-step explanation:

because 27 is how much you save per month and you started off with 332

Which letter has line symmetry?

Answers

Answer:

e. M

Step-by-step explanation:

Answer:

M has line symmetry

Step-by-step explanation:

hope this helps

PLZ HELP BRAINLIEST AND 20 POINTS

When graphed, which equation would not make a straight line?


x-values y-values
3 10
4 13
5 16
6 19

x-values y-values
13 28
14 30
15 32
16 34

x-values y-values
1 7
2 6
3 5
4 4

x-values y-values
3 0
4 4
5 9
6 15

Answers

Answer:

the last set

Step-by-step explanation:

hope this helps :) have a nice day !!

**please let me know if this was wrong**

What is the electric field strength at a distance of 15 cm from a point charge that has 12
microcoulombs?

Please help

Answers

the formula is E= kQ/ d^2

k is 9x10^9
i changed 15 cm to 0.15 m

=> 9x10^9 x 12 OVER (0.15)^2

the answer is 4.8x10^12 N/C

but this is the electric field.

to find electric field STRENGTH, it’s E= F/q and you did not give a value for the force

Which of the statements below is true for the following set of numbers?
42,20,36,51.60.28​

Answers

Answer:

the answer is the file below

help please ? I don’t understand I’m in 6th grade

Answers

Answer:

22/7 - irrational number

1.141141114 - irrational number

17/4 - rational number

-6 - integer

[tex]\frac{\pi }{2}[/tex] - irrational number

0 - whole number

9 - natural number and whole number

21/3 - natural number and whole number

Step-by-step explanation:

natural numbers would be numbers 1,2,3,4,5,6,7...

whole numbers would be numbers 0,1,2,3,4,5,6...

integers are negative whole numbers

rational numbers are fractions and numbers that have decimal points

irrational numbers are number such as [tex]\pi[/tex] or [tex]\sqrt{5}[/tex]

219 is what percent of 146?

Answers

....................The answer is 150

Answer:

150

Step-by-step explanation:

100%/ x% = 219/ 416

Cross multiply

x = 150 %

219 is 150% of 416

2) Solve the equation 6d = 42. Choose the correct answer.

d=7
d=9
d = 12

Answers

the answer is 7, because if you multiple 6 by 7 you got 42

Answer:

d=7

Step-by-step explanation:

divide both sides by 6

6d=42

d=42/6

d=7

please, please, help me. I'll mark you Brainleist Please.​

Answers

Answer:

it goes 2,4,6

bottom 6,12,18,24

Step-by-step explanation:

hope this helps

What measurement would be use to describe how much water a pot can hold

Answers

Answer:

I'd say liters or gallons! Hope this helps!! (:

Answer:

Hi Uh I Forgot but i know my teacher showed me

Step-by-step explanation:

Give triangle ABC with coordinates A(3, 8), B(9,0) and C(5,2). How can you prove that triangle ABC is isosceles? Show your work.

Answers

Answer:

The distances AB and BC are

52

and therefore isosceles.

Explanation:

If we label them A(13,-2) B(9-8) and C(5-2)

The distance between A and B:13⇒9=4−2⇒−8=42+62=52 so the distance is √52

The distance between B and c:9⇒5=4−8⇒−2=642+62=52

the distance is

52

The distance between A and C is 8 as they are both on -2 for

y

The distances AB and BC are

52

and therefore isosceles.Step-by-step explanation:

Data from a representative sample were used to estimate that 31% of all computer users in a recent year had tried to get on a Wi-Fi network that was not their own in order to save money. You decide to conduct a survey to estimate this proportion for the current year. What is the required sample size if you want to estimate this proportion with a margin of error of 0.05

Answers

Answer:

The required sample size is 329.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

31% of all computer users in a recent year had tried to get on a Wi-Fi network that was not their own in order to save money.

This means that [tex]\pi = 0.31[/tex]

Confidence level is not given, so we assume 95%.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

What is the required sample size if you want to estimate this proportion with a margin of error of 0.05?

We need a sample size of n. n is found when M = 0.05. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.31*0.69}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96\sqrt{0.31*0.69}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.31*0.69}}{0.05}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.31*0.69}}{0.05})^2[/tex]

[tex]n = 328.6[/tex]

Rounding up

The required sample size is 329.

how can i do dis plss​

Answers

It’s the second one

What is the area of the shaded region?
13 km
22 km
square kilometers

Answers

Step-by-step explanation:

Area of the triangle is

= 1 /2 * base * height

= 1 /2 * 22 * 13

= 143 square kilometers

Hope it will help :)❤

Answer:

58.5

Step-by-step explanation:    

( (22 * 13) / 2 ) - ( (13 * 13) / 2 ) = ( 286 / 2 ) - ( 169 / 2 ) = 143 - 84.5 = 58.5

Answered your previous post about this question, this is the corrected version. Read the 22 as 23.  

Two houses sit along the southern shore of a lake. The distance between the houses is
150 m. From one house, a green light can be seen at the end of a dock across the lake.
The direction to the light from this house is 8 east of north. From the other house the
light appears to be 48 west of north. What is the distance from each house to the light?

Answers

Answer:

150÷48=3hrs and 125minutes

Step-by-step explanation:

speed =distance/time

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