How do you solve the system of equations 8x-9y=158x−9y=15 and -x+4y=1−x+4y=1 by combining the equations.

Answers

Answer 1

Answer:

x = 3 and y = 1

Step-by-step explanation:

Give system of equations are :

8x-9y=15 ...(1)

−x+4y=1 ...(2)

Multiply equation (2) by 8.

−8x+32y=8 ..(3)

Add equation (1) and (3).

8x-9y -8x + 32y = 15+8

23y = 23

y = 1

Put the value of y in equation (2).

−x+4(1)=1

-x = -4+1

x = 3

Hence, the values of x and y are 3 and 1.


Related Questions

write an equation of the perpendicular bisector of the segment with the endpoints (-8,-1) and (4,5)

Answers

9514 1404 393

Answer:

  2x +y = -2

Step-by-step explanation:

The bisector must have a slope that is the negative reciprocal of the slope of the line between these points. It must pass through the midpoint of the segment.

The slope of the line through the given points is ...

  m = (y2 -y1)/(x2 -x1)

  = (5 -(-1))/(4 -(-8)) = 6/12 = 1/2

The slope of the required bisector is then ...

  m = -1/(1/2) = -2

__

The midpoint of the given segment is ...

  ((-8, -1) +(4, 5))/2 = (-8+4, -1+5)/2 = (-4, 4)/2 = (-2, 2)

__

Then the point-slope form of the equation of the bisector is ...

  y -y1 = m(x -x1)

  y -2 = -2(x -(-2))

  y = -2x -4 +2

  y = -2x -2 . . . . . . . slope-intercept form equation

  2x +y = -2 . . . . . . . standard form equation

what is the value of n?
enter answer in box​

Answers

Answer:

6!

Step-by-step explanation:

chord x chord = chord x chord

(5) (n+8) = (7) (n+4)

i just started plugging in numbers

(5) (6+8) = (7) (6+4)

5 x 14 = 7 x 10

70=70

Somebody Help please??????

Answers

Step-by-step explanation:

Please refer to the attachment

1. In school lottery to win a price for "Free Domino's Pizza" it is required to select 5 numbers (in any order) out of 40 numbers.

What is the probability of winning?


2. Your sock drawer has 18 folded pairs of socks, with 8 pairs of white, 6 pairs of black, and 4 pairs of blue.

What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?

Answers

Answer:

1/8 ;

12 / 51

Step-by-step explanation:

To select any 5 numbers out of 40

Number of selection required / total numbers

Probability of winning = 5 /40 = 1/8

Total number of socks = 18

White, W = 8

Black, B = 6

Blue, C = 4

probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?

P(B) * [(P(C) + P(W)]

Probability = required outcome / Total possible outcomes

P(B) = 6 / 18 = 1/3

Without replacement :

P(W or C) = 8/17 + 4/17 = 12/17

Hence,

1/3 * 12/17

= 12 / 51

Question please answer thanks if you do

Answers

Answer:

Radius = 6 ft

Diameter = 12 ft

Circumference = 37.7 ft

Step-by-step explanation:

The radius of the circle is the measurement from the center of the circle to the edge. The diagram gives us the radius, 6 ft.

Radius = 6 ft

The diameter of the circle is the measurement from the edge of the circle through the center, extending back to the edge. The diameter is equal to double the radius.

6*2=12

Diameter = 12 ft

The circumference of the circle is the distance around its edge or the perimeter of the circle. We use the below equation to solve for it:

[tex]C=\pi d[/tex] where [tex]d[/tex] is the diameter

Plug the diameter (12) into the equation

[tex]C=\pi (12)\\C=37.7[/tex]

(This answer is approximate)

Circumference = 37.7 ft

I hope this helps!

Mandy and Pete have a biased spinner numbered 1, 2, 3, 4, 5. They each want to find an estimate for the probability that the spinner will land on a 5. Mandy spins the spinner 20 times and records the number of times the spinner lands on a 5. Pete spins the spinner 200 times and records the number of times the spinner lands on a 5. Is Mandy or Pete more likely to get the better estimate? You must give a reason for your answer.

Answers

Answer:

Pete

Step-by-step explanation:

Given that:

Mandy's Estimate :

Number of spins , n = 20

Pete's Estimate:

Number of spins, n = 200

A good probability estimate is one which has narrow margin of error with a high degree of confidence. These two variables are affected by sample size.

A high sample size give a narrower margin of error and increases the confidence level probability

Based on the sample size used by each of Pete and Mandy, we can conclude that, Pete's probability estimate would be better due to its significantly higher sample size.

the sides od a triangle are in the ratio3:4:5 &uts perimeter 144 cm .find tye area​

Answers

Answer : The area of triangle is 864 cm² and the height corresponding to the longest side is 28.8 cm.

Please answer will give brainliest

Answers

Answer:

yes

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

I can give you the formula if u want

A circle has a radius of 14 feet. What is the exact area of the circle and what is the approximate area of the circle and What is the appropriate circumference of the circle.

Answers

Answer:

Step-by-step explanation:

Exact area of circle = πr² = 196π sq ft

Approximate area of circle = 615 sq ft

Approximate circumference = 2πr = 88 ft

Answer:

615.75ft²

Step-by-step explanation:

A=πr²=π·14²≈615.75ft²

Find y in the parallelogram

Answers

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

RS || UT , SU oblique

Thus :

[tex]y = 45[/tex]

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

A mountain bike originally priced at $964.00 is up for sale at a discount of 11%. What is the price of the mountain bike after the discount?

Answers

Answer:

857.96

Step-by-step explanation:

964/100=9.64

9.64x11=106.04

964-106.04=857.96

40 - (6 + 2) x (5 - 2)
what answer solved in pemdas form

Answers

Answer:

i dont know what level this is

Step-by-step explanation:

40-(6+2) x (5-2)
40-8x3
40-24
=16

what is the equation for this graph?

Answers

Answer:

I don’t know I think it is 1,8 tho

Step-by-step explanation:

Sorry if it’s wrong

Answer:

y= -4x+8 or -4/1x+8

Step-by-step explanation:

8 is the slope and it is positive

Rise over run is Right 4 and down 1 so that is Plus 4 and negative 1

1 pts
9) What is the area of the figure below? Round your answer to the nearest tenth (1 place
value) if needed. ONLY TYPE THE NUMBER, NOT THE UNITS. (Ex: If your answer is 13
cm, type 13)
3 m 6.6 m
?

Answers

Answer:

I think the answer is 19.8. The formula to calculate the area of the rhomboid is b × h (3.3 × 6.6 = 19.8)


Given that
R=6x+9y

Find y when x=1 and R=39

Give your answer as an improper fraction in its simplest form.

Answers

Answer:

11/3

Step-by-step explanation:

39=6+9y

                                          39-6=9y

                                           33=9y

                                          33/9=y

                                           33/9=11/3                                                  

A, B & C form a triangle where Z BAC = 90°.
AB = 1.2 mm and CA = 3.9 mm.
Find the length of BC, giving your answer rounded to 1 DP​

Answers

Answer:

Step-by-step explanation:

bc is hypotunuse

therefore 1.2^2+3.9^2=BC^2

4.1(1dp)

What are the coordinates of the points that will complete the square?


PLEASEEEE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

(-2,-1)

Step-by-step explanation:

A square has all equal sides so the number between each point is 3. That means, the point has to be 3 away from the other point.

Answer:

Step-by-step explanation:el primer número siempre es x, entonces lo cuentes primero en la línea horiolas el número de espacios que te pide, el segundo es es y , este o cuentes de arriba hacia abajo.

te dejo la respuesta de todos modos

(-2,-1)

Match the following expression 12(x-3)+18=6(x-3) with the number of solutions below.
A.One solution?
B.No solution ?
Or
C.All solution?

Answers

Answer:

One solution, which is x=0.

Step-by-step explanation:

12(x-3)+18=6(x-3)

12x-36+18=6x-18

12x-18=6x-18

12x-6x-18=-18

6x-18=-18

6x=-18+18

6x=0

x=0/6

x=0

2) A-5=62 PLSSSS HELLPPP

Answers

Answer:

Step-by-step explanation:

a-5=62 add 5 to both sides

a=67



Xin answered 182 questions correctly on her multiple choice math final that had a

total of 200 problems. What percentage of questions did Xin answer correctly on the

final exam?

Answers

Answer:

91%

Step-by-step explanation:

182/200 = .91

.91 = 91%

Hope that helps!

The percentage of questions Xin answered correctly on the final exam is 91% if he answered the number of 182 questions correctly on her multiple choice.

What is the percentage?

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We have:

Total number of problems = 200

Total number of Xin answered correctly = 182

Then the percentage of questions XIn answers correctly:

[tex]= \frac{182}{200} \times100[/tex]

= 0.91×100

= 91 %

Thus, the percentage of questions Xin answered correctly on the final exam is 91% if he answered the number of 182 questions correctly on her multiple choice.

Learn more about the percentage here:

brainly.com/question/8011401

Find the missing number.
330 =
22
Submit

Answers

Answer:

15

Step-by-step explanation:

Plz need help fast will mark the brainiest

Answers

Answer:

0.0081

Step-by-step explanation:

yes bye that's the answer

Answer:

0.0081

Step-by-step explanation:

mark as BRAINLIST I

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x2 + 200x + 82

Answers

Answer:

Step-by-step explanation:

dy/dx = -32x + 200

maximum height when dy/dx = 0

-32x + 200 = 0

x = 6.25 seconds

y = -16·6.25² + 200·6.25 + 82 = 707 feet

find the equation of the line of best fit in slope intercept form . please help

Answers

Answer:

y = (2/5)x + 3

Step-by-step explanation:

Note that the y-intercept is (0, 3) and that the line passes right through the point (5, 5).  First we find the slope of this line:  m = rise/run.

As we move from (0, 3) to (5, 5), we see that x increases by 5 (the run) and y increases by 2 (the rise).  Thus, the slope of this line is m = 2/5.

Now we know that m = 2/5, x = 5, y = 5 and b (the y-intercept) is 3.  Then our equation is y = mx + b, or y = (2/5)x + 3

Answer:

The equation is [tex]y = \frac{2}{5} x+3[/tex]

Step-by-step explanation:

The line of best fit has an x-intercept of 3, so the constant in the equation would be 3. Since one of the points on the line is (5, 5), the change in y over the change in x (the slope) is going to be [tex]\frac{5-3}{5-0}[/tex] or [tex]\frac{2}{5}[/tex]. So the line's equation is [tex]y = \frac{2}{5} x+3[/tex].

h(x)=-7x-11 when x=7

Answers

Answer:

-60

Step-by-step explanation:

h(x)=-7x-11

h(7)=-7(7)-11

h(7)=-49-11

h(7)=-60

Answer:

-60

Step-by-step explanation:

-7x7= -49

-49-11= -60

please solve! thanks!

Answers

Answer:

uhm no

Step-by-step explanation:

Answer:

arc 1 = 108 degrees

angle 2 = 54 degrees

Step-by-step explanation:

180 - 72 = 108   (half circle -72)

draw a line from center of circle to tangent point.

this line is perpendicular to the tangent line.

all radii are equal.

then, triangle made with the new line is isosceles with two equal angles.

those angles are 36 degrees each  (180 - 108 = 72, 72/2 = 36)

line drawn from center to tangent point is 90 degrees so:

90 - 36 = 54 degrees

please find x

plz help me plz

Answers

Answer:

x=18

Step-by-step explanation:

7x+15=141

7x=141-15

7x=126

7/7=126/7

x=18

have a good day!

pls brainliest

THIS IS ALSO URGENT- I NEED AN ANSWER ASAP PLS!

Answers

Answer:

c

Step-by-step explanation:

I had to multiply 4 and 3 to get the answer

Could someone help me with this problem?

Answers

The answer is root 65

What is the length of line segment HJ?

Answers

The answer is 5 radical 3

Answer:

b = 5√3 (units)

Step-by-step explanation:

To solve this problem, use the pythagorean theorem, where a^2+b^2 = c^2, a and b are the legs of the triangle and c is the hypotenuse.

In this case, we are finding the missing leg, and we were given one of the legs and the hypotenuse.

a^2+b^2 = c^2 (pythagorean therorm)

5^2+b^2 = 10^2 (substitute one leg and the hypotenuse)

25+b^2 = 100 (square the numbers)

b^2 = 75 (subtract 25 from both sides)

b = √75

b = √25 * √3 (factor out√75)

b = 5 * √3 (find square root of√25)

b = 5√3

Hope I was able to help! Good Luck!

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