P is the point of intersection of the lines with equations 5x+3y=9 and 7x -2y= 25. write down the coordinates of P

Answers

Answer 1

Answer:

P (3, - 2 )

Step-by-step explanation:

Solve the equations simultaneously for point of intersection P

5x + 3y = 9 → (1)

7x - 2y = 25 → (2)

Multiplying (1) by 2 and (2) by 3 and adding will eliminate the y- term

10x + 6y = 18 → (3)

21x - 6y = 75 → (4)

add (3) and (4) term by term to eliminate y

31x + 0 = 93

31x = 93 ( divide both sides by 31 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for x

Substituting into (1)

5(3) + 3y = 9

15 + 3y = 9 ( subtract 15 from both sides )

3y = - 6 ( divide both sides by 3 )

y = - 2

Then P = (3, - 2 )


Related Questions


You are buying 3.5 lbs of grapes. They are on sale for $1.19/1b. How much should the grapes cost?

Answers

$4.17 your welcome


Because you rounded

n is a whole number
2n is greater than 20
5n is less than 60
what is the value of n?

Answers

Step-by-step explanation:

2n =20

n=10

but 2n is greater than 20 and 5n less than 60 so n is 11

The value of number n from the equation is 11

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be n

The number n is a whole number

The number 2n is greater than 20

So ,

2n > 20

Divide by 2 on both sides , we get

n > 10

And , the number 5n < 60

Divide by 5 on both sides , we get

n < 12

So , 10 < n < 12

Therefore , the number is greater than 10 but less than 12 , so the whole number is 11

Hence , the number n is 11

To learn more about equations click :

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Factor the perfect square trinomial y2 + 8y + 16

Answers

Answer:Use the formula

(b2)2 in order to create a new term in order to find the perfect square trinomial.

y2+8y+32

Step-by-step explanation:

Step-by-step explanation:

y² + 8y + 16

let's just think in general, what is (y + c)² ?

(y + c)² = y² + 2cy + c²

now compare with the original expression.

then c² = 16, and c = ±4

and 2c = 8

c = +4

so, the answer is

y² + 8y + 16 = (y + 4)² = (y + 4)(y + 4)

In the given figure, O is centre of the circle. Find the value of x and y? ​

Answers

Answer:

The value of x = 13cm and y = 12cm.

Step-by-step explanation:

P is the exterior point to the circle with centre O

Radius = 5cm

Length of the tangent = 12 cm

Distance between the point and centre of the circle = x cm

We know that

The angle between the radius of the circle and the tangent at the point of contact is 90°

By Pythagoras Theorem

Hypotenuse² = Side²+Side²

⇛x² = 12²+5²

⇛x² = 144+25

⇛x² = 169

⇛x² = 13²

⇛x = 13 cm

We know that

The lengths of tangents drawn from the exterior point to the circle are equal.

y = 12 cm

Answer: The value of x=13cm and y = 12cm.

also read similar questions: in the given figure, O and O' are centre of two circles and the circles intersect each other at points B and c. If AOCD is a straight line and /_ AOB =110, find...

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Find the 10th term of the geometric sequence in which a1=1 and r=2.5

Answers

Answer:

a10=3,814.7

Step-by-step explanation:

Use the formula an = a1(r)^n-1 and solve.

the 10th term of the given geometric Sequence is 3814.69.

What is the geometric sequence?

A geometric sequence is a sequence of numbers that follows a pattern where the next term is found by multiplying by a constant called the common ratio, r.

Given A geometric sequence where first-term = 1 and the ratio is 2.5

From the general formula of the nth term of the geometric sequence:

aₙ = a₁rⁿ⁻¹

In our case,

a₁₀ = 1 * 2.5¹⁰⁻¹

a₁₀ = 2.5⁹

a₁₀ = 3814.69

therefore, the 10th term of the given Sequence is 3814.69.

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Tenisha solved the equation below by graphing a system of equations. Log Subscript 3 Baseline 5 x = log Subscript 5 Baseline (2 x 8) Which point approximates the solution for Tenisha’s system of equations?.

Answers

You can use the definition of logarithms and some basic properties to find out the solution to the given equation.

The solution for Tenisha's system of equations is given approximately by  x = -4.805

What is logarithm and some of its useful properties?

When you raise a number with an exponent, there comes a result.

Lets say you get

[tex]a^b = c[/tex]

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

[tex]b = log_a(c)[/tex]

Some properties of logarithm are:

[tex]log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(b) + log_b(c) = log_a(c)[/tex]

Using the above property to evaluate the solution

The given equation is

[tex]log_3(5x) = log_5(2x + 8)[/tex]

Simplifying and using above properties, we get:

[tex]log_3(5x) = log_5(2x + 8)\\\\log_3(5) + log_3(x) = log_5(2) + log_5(x+4)\\\\\text{Adding}\: \rm log_5(3) \text{ on both the sides}\\\\log_5(3) + log_3(x) + log_3(5) = log_5(2) + log_5(x+4) + log_5(3)\\\\log_5(x) + log_3(5) - log_5(2) - log_5(3) = log_5(x+4)\\\\\text{Using the values of constant logs from calculator}\\\\\log_5(x) - log_5(x+4) = 1.11\\\\log_5(\dfrac{x}{x+4}) = 1.11\\\\\dfrac{x}{x+4} = 5^{1.11}\\\\x = 5.968 \times (x+4)\\4.968x = -23.872\\\\x \approx -4.805[/tex]

Thus,

The solution for Tenisha's system of equations is given approximately by  x = -4.805

Learn more about logarithms here:

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B) (1.0, 1.4)

I got it right on the quiz on Ed2020

Some other questions from the quiz and their answers (people will get different questions even on ed, but may have some in common if not all of them so im hoping this will help someone. )

Which system of equations could be graphed to solve the equation below? log Subscript 0.5 Baseline x = log Subscript 3 Baseline 2 + x

Answer: D

What is the approximate value of q in the equation below?

q+log26=2q+2

Answer: C (0.585)

Devonte used the change of base formula to approximate log Subscript 8 Baseline 25. Which expression did Devonte use?

Answer: D

Which system of equations could be graphed to solve the equation below? log (2 x + 1) = 3 x minus 2

Answer: B

Which expression can be used to approximate the expression below, for all positive numbers a, b, and x, where a Not-equals 1 and b Not-equals 1?

log Subscript x Baseline x

Answer: Not B lol I got it wrong

Which is equivalent to log Subscript 2 Baseline n = 4?

Answer: D

Tenisha solved the equation below by graphing a system of equations.

log Subscript 3 Baseline 5 x = log Subscript 5 Baseline (2 x + 8)

Answer: B

Consider the equation below.

log Subscript 4 Baseline (x + 3) = log Subscript 2 Baseline (2 + x) Which system of equations can represent the equation?

Answer: A

Which expression results when the change of base formula is applied to log Subscript 4 Baseline (x + 2)?

Answer: A

What is the approximate value of x in the equation below?

log Subscript 5 Baseline 15 = x + 3

Answer: B

A circle of radius 32cm is cut into 8 equal parts calculate the perimeter of each part giving your answer correct to the nearest millimeter

Answers

I think it’s 16

Radius of circle = 32
Diagonal of circle = 64 cm
So 64 divided by 8 = 16
Mark me as brainliest
hey! answer is 40212mm

—————————————

10mm in a cm, so radius is 320mm

area of a circle is pi multiplied by (radius squared)

so it’s pi multiplied by (320 squared) = 102400 pi

(put it in a calculator)

then the circle is in eight equal sections and you want each part, so divide the number from before by 8. this gives you 12800 pi.

press the s<->d button on the calculator to get the decimal version: 40212.38597

this is already in mm, so round it to get 40212mm

Describe the graph that represents the solution to 7x > 21 or óx – 9 < 21​

Answers

Answer:

A screenshot of the graph is attached. :)

Solve the equation. You may find using algebra tiles helpful in solving this problem.
x+ 6 = −x − 6

Answers

Answer:

They keep removing my answer but it’s -6

Step-by-step explanation:

5. A sandwich store charges a delivery fee to bring lunch to an office building.
One office
pays $33 for 4 turkey sandwiches. Another office pays :
pays $61 for 8 turkey sandwiches.
How much does each turkey sandwich add to the cost of the delivery? Explain how you
know.

Answers

Answer:

$7

Step-by-step explanation:

Let x be the cost of the turkey sandwiches and y be the cost of delivery:

4x+y=33

8x+y=61

Subtract the two equations to cancel out y:

-4x=-28

x=7

Each turkey sandwich costs $7

Solve for x. The triangles are similar.

Answers

13 is the answer for it

20

Anyone? Know how to

Answers

Answer:

the first answer is maybe correct

2 + 2 x 5 x 10 =
I need help please!

Answers

Answer:

102

Step-by-step explanation:

50×2+2

100+2

give brilliant answer

[tex]2+2 \times 5 \times 10 \\ =2+(10)(10) \\ =2+100 \\ =102 \\ [/tex]

Find the percent rate per annum at which $275 will double itself in 2 year​

Answers

Answer:

50%

Step-by-step explanation:

50/100 x 275 = 137.5

137.5 = 275

the area of a rectangle is 20cm2. The perimeter of the rectangle is 18cm. What are the lengths of the side of the rectangle.

Please can you use simultaneous equation method to solve this

Answers

Answer:

Step-by-step explanation:

Let length = x and width =y

Area of rectangle = 20 square inches

x*y = 20

xy = 20 -------------(I)

Perimeter = 18 cm

2*length + 2*width = 18

2x + 2y = 18

Divide the entire equation by 2

x + y = 9

x = 9 -y -----------------(II)

Substitute x = 9 - y  in equation (I)

(9 - y)*y = 20

9y - y² = 20

0 = 20 +y² - 9y

y² - 9y + 20 = 0

y² - 4y - 5y + 20 = 0

y(y - 4) - 5(y - 4) = 0

(y -4)(y -5) = 0

y - 4 = 0    ; y- 5 = 0

y = 4         ; y = 5

Length = 4 cm and width = 5 cm

93% of what is 198 tons?

I dont get this someone help

Answers

93% of x = 198 tons
93% = 93/100
= 0.93
0.93 * x = 198 tons

Divide both sides by 0.93:
x = 198/0.93
x = 212.90 -> Final Answer.

A.) 1
B.) -1
C. 19
D. -14

Answers

It is -1 I learned this so long ago

How do you solve 5√15 x -5√15

Answers

Answer:

Step-by-step explanation:

5√15 × -5√15

=-25×(√15)²

=-25×15

=-375

can someone do this fast please it’s like 2am

Answers

Answer:

(5, 6)

Step-by-step explanation:

First, get both equations into slope-intercept form so they are easier to graph:

[tex]y=mx+b[/tex]

The first equation is already in this form, so only do the second equation:

[tex]x-y=-1[/tex]

To do this, just solve for y and that should almost always get it in the correct form.

[tex]\rightarrow x-y=-1\\\rightarrow -y=-x-1\\\rightarrow y=x+1[/tex]

That equation is also now in slope-intercept form.

Now, using the slope and y-intercept in both equations, you can graph them. Using the graph, you can see the solution of this system of equations at (5, 6).

The estimated velocity v (in miles per hour) of a car at the end of a drag race is v=234\sqrt[3]{p/w} , where p is the horsepower of the car and w is the weight (in pounds) of the car. A car has a horsepower of 1311 and weighs 2744 pounds. Find the velocity of the car at the end of a drag race. Round your answer to the nearest whole number

Answers

Answer:

299 miles per hour

Step-by-step explanation:

[tex]v=\frac{234}{\sqrt[3]{\frac{p}{w}}}[/tex]

[tex]v=\frac{234}{\sqrt[3]{\frac{1311}{2744}}}[/tex]

[tex]v\approx299[/tex]

Therefore, the velocity of the car at the end of a drag race is 299 miles per hour

Write the phrase as an algebraic expression. 5 less than 8

Answers

Answer:

x=8-5

Step-by-step explanation:

since we are not given the answer, we write it as x. so we write this expression as x is equal to 8-5

x=8-5

Help i need this to be correct!!! ( I-ready math)

Answers

The formula is base x height = volume so 6 x 4 = 24
I hope that helps
The units are meters cubed. Meters squared times meters gives meters cubed. Or meters squared is (m times m)
A meter is just a meter (m).
(M times m times m) gives cubic meters.

Solve for x. Round your answer to the nearest tenth. Will brainlist first correct

Answers

Answer:

x ≈ 64.2

Step-by-step explanation:

tan x° = [tex]\frac{29}{14}[/tex]

x° = arctan [tex]\frac{29}{14}[/tex] ≈ 64.2°

i need help somebody please​

Answers

Answer:

[tex]3y + 3y - 12[/tex]

Step-by-step explanation:

This is because if you were to combine like terms, the two beginning values would add up to 6y since adding two y's is just y & 3+3 is 6. & 12 is common sense lol.

Hello I'm a bit stuck (Need Help)

Answers

A bc I took the test

Find the measures of angle x and angle y.

Answers

Answer:

m<X = 94°

m<Y = 90°

Hope this helps!

There are twenty fishes in a tank. If six of them drown. How many more fishes are there in all?

Answers

Answer:

Still 20

Step-by-step explanation:

Just because 6 of the fish drown (which, for the record, I don't know how they would) doesn't mean they aren't still in the tank. The question asks How many fishes are there in all?. There are still 20 fish total in the tank, even if 6 of them have drowned.

Thanks!

Still 20

See 20 fishes were present at tank.

Now 6 of them drowned .

But they are not out from tank .

They are still present inside the tank.

So they are still 20

Someone please help me!!

Answers

Systems of equations that have the same solution are called equivalent systems. We can produce an equivalent system by replacing one equation by the sum of the two equations, or by replacing an equation by a multiple of itself.

1/3x+y=5/4

and

2x-4y=5

Now we use elimination

y=-1/3x+5/4

-4y=4/3x-5

4/3x+4y=5

and

2x-4y=5

Eliminate the y's,

10/3x=10

10x=30

x=3

Plug into other equation

2x-4y=5

2(3)-4y=5

6-4y=5

1=4y

y=1/4

Answer (3,1/4)

Brainliest/Heart would help

Help me please. I need this done by today I’m failing algebra.

Answers

Answer:

A: 17/4^2 - s - 5/2

Step-by-step explanation:

For the first chunk:

3s^2 = 12/4s^2

12/4s^2 + 5/4s^2 = 17/4s^2
For the second chunk:
-4s + 3s = -1s or -s

Add the last chunk of account 2 to the equation and you get:

17/4s^2 - s - 5/2


Answer:

A: 17/4^2 - s - 5/2

Step-by-step explanation:

Paul’s family has completed 40% of a trip. They have traveled 20 miles. How long is the whole trip?

Answers

Answer:

80 miles

Step-by-step explanation:

if you look at it 40% = 20 miles

so 60%=40

     80%=60

      then you get to 100%=80 miles so 80 miles is your answer

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