What are the solutions of the following system?

Answers

Answer 1

Answer:

(0,-5) and (-4,3) are the points to the equations.

Step-by-step explanation:

Solution:

Step 1: Make an equation for y to substitute to the first equation.

x^2+y^2=25

y=-2x-5

Step 2: Substitute the y-value to the first equation.

x^2+(-2x-5)^2=25

x^2+4x^2+20x+25=25

Our x-values would be 0, and -4.

Step 3: Solve for the y-values by substituting 0 and -4 to the equation y=-2x-5.

y=-2(0)-5=-5 and makes the ordered pair (0,-5)

y=-2(-4)-5=3 and makes the ordered pair (-4,3)

Therefore our answers would be (0,-5) and (-4,3)

Answer 2

Answer:

(-4;3), (0;-5)

Step-by-step explanation:


Related Questions

please help don’t understand question!

Answers

Answer:

[tex]{ \sf{ - 2 {a}^{5} + 4 {a}^{4} + 5 {a}^{3} + \frac{2}{3}a }}[/tex]

Answer:

D

Step-by-step explanation:

A polynomial is in standard equation when the degree of the polynomial are in descending order.

Hay 31 estudiantes en una clase. Ocho (8) estudiantes miden más de 6 pies de altura. Diecisiete (17) estudiantes miden 5-6 "a 6'-0" de altura. Seis (6) estudiantes miden menos de 5-2". ¿Cuál es la razón entre el número de estudiantes de menos de 5'-2" y el número de estudiantes de más de 6 'de altura?​

Answers

Answer:

4/3

Step-by-step explanation:

ok please help i don't understand part of the question, I will try and give brainly

Answers

Answer:

j' = (1,-2)   k'=(3,-1) L' = (3,-3)

Step-by-step explanation:

I think that you just multiply all the x,y values for the three points by 1/5?

5 1

-10 -2

j' = (1,-2)

~~~~~~~~~~~~~~~~~~  

15 3

-5 -1

k'=(3,-1)

~~~~~~~~~~~~~~~

 

15 3

-15 -3

l' = (3,-3)

help please coordinates for math

Answers

Answer: Slope = c / a + b

Concept:

Here, we need to know the idea of a slope.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Slope = Rise / Run = Δy / Δx = (y₂ - y₁) / (x₂ - x₁)

Solve:

STEP ONE: Identify the points

A (0, 0)

C (a + b, c)

STEP TWO: Apply the formula

Slope = (y₂ - y₁) / (x₂ - x₁)

Slope = (c - 0) / (a + b - 0)

Slope = c / a + b

Hope this helps!! :)

Please let me know if you have any questions

12. Classify the following number. (Select all that apply)
*
5/3

Natural
Whole
Integer
Rational
Irrational

Answers

Answer:

rational is the answer....

i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money that i have.(hint: one is the other simplified)

Answers

Answer:

0.05N - 0.1N + 1.7 (in dollars

1.7 - 0.05N (in dollars)

Step-by-step explanation:

Given :

Total number of coins = 17

Number of nickels = N

Number of dimes = 17 - N

1 nickel = 5 cent = $0.05

1 dime = 10 cent = $0.1

The amount of money :

(Value of nickel * number of nickels) + (value of dime * number of dime)

(0.05 * N) + (0.1 * (17-N))

0.05N + 1.7 - 0.1N

0.05N - 0.1N + 1.7

-0.05N + 1.7 = 1.7 - 0.05N

If you save a hundred dollars every two weeks for five years how much money would you have?

Answers

Answer:

$13,000

Step-by-step explanation:

52 weeks in a year means 26 two week periods (fortnights, if you feel it is important in social studies). This means 2600 dollars per year. Multiplty by 5 to get $13,000. Hope this helps!

Which figures are polygons?​

Answers

Answer: A,C,D

Step-by-step explanation:

Answer:

pretty sure it's a, c, and d

Step-by-step explanation:

polygons have straight sides, not curved. it's a 2d figure, and it is enclosed. b doesn't fit the criteria of that because of the fact that the shape is a bit curved, as the other options do fit that criteria.

Complete the solution of the equation. Find the
value of y when x equals 17.
-X + y = -27
Enter the correct answer.
000
DONE
Clear all
#00
11?

Answers

Answer:

y = -10

Step-by-step explanation:

When x = 17, the equation be -17 + y = -27 when you plug in 17 for x

Then, add 17 to both sides to get y = -10

Answer:  " y =  -10 . "

___________________

Step-by-step explanation:

___________________

The question:

Find the  value of  "y" when "x" equals 17.

Given the equation:

 - x + y = -27 ;

___________________

We plug in the given value: "17" ; for "x" ; and solve for "y" :

- 17 + y = -27 ;

_____________________

↔ y + (-17) = -27 ;

Rewrite as:

   y − 17  = -27 ;   {since:  "adding a negative value" is the same

                                           as "subtracting a positive value."}.

_____________________

Now, we add "17" to each side of the equation;

to isolate "y" on one side of the equation; and to solve for "y" :

  y − 17 + 17  = -27 + 17 ;

to get:

  y  =  - 10 .

_____________________

Hope this is helpful to you.

Best wishes to you in your academic pursuits—

    and within the "Brainly" community!

_____________________

150°
2x + 100°
X =
degrees

Answers

Answer:

x = 25°

Step-by-step explanation:

The 2 angles are vertical angles and are congruent , then

2x + 100 = 150 ( subtract 100 from both sides )

2x = 50 ( divide both sides by 2 )

x = 25°

Answer: x = 25°

Step-by-step explanation:

⇒2x + 100 = 150

⇒2x = 150-100

⇒x = 50/2

⇒x = 25

Reason (VOA) vertically opposite angles are equal.

please click thanks and mark brainliest if you like :)

what is the graph of the following function??
PLEASE HELP!!

Answers

Answer:

umm it's a piecewise function and I think the graph is correct I don't really understand what you mean by what is the "graph" of the following function since the graph is already there...

Step-by-step explanation:

please please please help me out somebody!!!!!!!
Find the midpoint of the line segment joining (–4, –2) and (2, 8).

SHOW HOW YOU GOT IT please

Answers

Answer:

(-1,3)

Step-by-step explanation:

Using midpoint formula, we have

x=(-4+2)/2=-1

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

3/2x + 7/2 = 2x what is the solution to the equation

Answers

Answer:

x=7

Step-by-step explanation:

3/2x + 7/2 = 2x

Subtract 3/2x from each side

3/2x -3/2x + 7/2 = 2x-3/2x

7/2 = 2x -3/2x

Get a common denominator

7/2 = 4/2x - 3/2x

7/2 = 1/2 x

Multiply each side by 2

7/2 *2 = 1/2x*2

7 =x

Answer:

x=7

Step-by-step explanation:

im smart

2. Find the measure of angle L.

Answers

Answer:

∠ L ≈ 21.6°

Step-by-step explanation:

Using the Sine rule in the triangle

[tex]\frac{MN}{sinL}[/tex] = [tex]\frac{LM}{sinN}[/tex] , that is

[tex]\frac{34}{sinL}[/tex] = [tex]\frac{42}{sin27}[/tex] ( cross- multiply )

42 × sinL = 34 × sin27° ( divide both sides by 42 )

sinL = [tex]\frac{34sin27}{42}[/tex] , then

∠ L = [tex]sin^{-1}[/tex] ( [tex]\frac{34sin27}{42}[/tex] ) ≈ 21.6° ( to the nearest tenth )

Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
needed.
х
34
16
30

Answers

Answer:

cos Z = 8/17

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = opp / hyp

cos Z = 16/34

cos Z = 8/17

I need help with this asap pls!!

Answers

Answer:

Answer is b

Step-by-step explanation:

cuh cuh cuh cuh cuh cuh , , , , , ,,

Some food is able to keep 150 students fed at camp for 5 days,
How many days will the food last for if there are 100 students,

I know its 7.5 but why do people x the 150 and 5 i dont get it

Answers

Answer:

x=7.5

Step-by-step explanation:

s is for students

d is for days

150 s take 5 days to finish food

if there are 100 s how many days will the same amount of food take

so 150 students × 5 days = 750 equation 1

100 students × x days= 100x equation 2

750 from 1 = 100 x from 2

750÷100=x

x=7.5 days

please answer this for me really struggling thanks

Answers

Answer:

Just agree on having ice cream

Step-by-step explanation:

Can anyone help me with this?

Answers

Answer:

baba booey

Step-by-step explanation:

444

A right triangle has a 12in base and an 8in height. What is the area of the triangle, in in??​

Answers

Answer:

48

Step-by-step explanation:

using the formula 1/2 b*h

8*12=96

96/2=48

Find each of the following products
a) 6x * (-2y)
Answer ) -12xy

Answers

Step-by-step explanation:

6x × (-2y) = -12xy thank you

(-2 1/2) to the second power

Answers

Answer:

6.25

Step-by-step explanation:

[tex](-2\frac{1}{2})^2\\\\(-\frac{5}{2} )^2\\\\(\frac{5}{2})^2\\\\\frac{5^2}{2^2}\\\\\frac{25}{4}\\\\\boxed{6\frac{1}{4}}\text{ or } 6.25[/tex]

Hope this helps.

An older person is 7 years older than five times the age of a younger person. The sum of their ages is 37. Find their ages.

Answers

Answer:

older person: 32 yrs younger person: 5 yrs

Step-by-step explanation:

older person age: o

younger person age: y

o=5y+7

o+y=37

Solve with substitution:

5y+7+y=37

6y+7=37

6y=30

y=5

Plug back in:

o+5=37

o=32

ASAP!! I'll mark you as BRAINLIEST Please help me out here I would really appreciate <3​

Answers

Answer:

d) 16, 19, 14 + x

e) x + 20, 30, 33, 15, y - 20, x+x+20=60 and James would be 20.

f) 13

g) 120

Step-by-step explanation:

D.

(1) 14 + 2 = 16

(2) 14 + 5 = 19

(3) 14 + x

E.

(1) x + 20

(2) 10 + 20 = 30

(3) 13 + 20 = 33

(4) 35 - 20 = 15

(5) y - 20

(6) x + (x + 20) = 60 | 2x + 20 = 60 | 2x = 40 | x = 20

F.

200 - 148 = 52

52 / 4 = 13 each

G.

500 + 100 = 600

600 / 5 = 120 without the discount

Hope this helps!

The eighth term of a linear sequence is 26. The term-to-term rule is 'add 3
Work out the fourth term of the sequence.
Explain the method you used to solve this problem.

Answers

Common difference=d=3

Let a be first term

[tex]\\ \rm\longmapsto a_8=a+7d[/tex]

[tex]\\ \rm\longmapsto 26=a+7(3)[/tex]

[tex]\\ \rm\longmapsto a=26-21[/tex]

[tex]\\ \rm\longmapsto a=5[/tex]

Now

[tex]\\ \rm\longmapsto a_4=a+3d[/tex]

[tex]\\ \rm\longmapsto a_4=5+3(3)[/tex]

[tex]\\ \rm\longmapsto a_4=5+9[/tex]

[tex]\\ \rm\longmapsto a_4=14[/tex]

Can someone help me with this question?

Answers

Answer:

y = ± 15

Step-by-step explanation:

Given

y² = 225 ( take the square root of both sides )

[tex]\sqrt{y^2}[/tex] = ± [tex]\sqrt{225}[/tex]

y = ± 15

That is y = 15, y = - 15

Since 15 × 15 = 225 and - 15 × - 15 = 225

y² = 225

y = √225

y = 15

y²= 225

y = √225

y = -15

y = ±15

Therefore values of y are 15 and -15

Must click thanks and mark brainliest

Pls Help, Thanks

According to the partial construction shown, what is the next step in constructing a line perpendicular to a point on the line?

Place compass at point D, and draw an arc that intersects the arc above line DF.

Place compass at point F, and draw an arc that intersects the arc above line DF.

Place compass at point P, and draw an arc above line DF

Place compass at point P, and draw an arc below line DF

Answers

Step-by-step explanation:

First draw a lign segment like DF

Next keep the point on D make an arc by increasing the length of compass

As same keep the point on F make an arc lile same as before

Next there is apoint name it as any meeting on drew arc

connect it to the point with P

solve the equation - 2(3x+5/x+2) -5(x+2/3x-5) = 3 , where x unequal -2 and x unequal 5/3

it's urgent
please quys
with solution

Answers

Answer:

Step-by-step explanation:

(a - b)(a + b) =a² -

(3x + 5)(3x -5) =(3x)² - 5² = 9x² - 25

(x +2)(x+2) = (x+ 2)² = x²+ 2*2*x+2² = x² + 4x + 4

(x+2)(3x -5 ) = x*3x - 5*x +2*3x +2*(-5)

                    = 3x² -5x +6x -10

                    = 3x² + x - 10

[tex]\frac{2*(3x+5)}{x+2}-\frac{5(x+2)}{3x-5}=3\\\\\frac{2*(3x+5)*(3x-5)}{(x+2)(3x-5)}-\frac{5*(x+2)(x+2)}{(3x-5)(x+2)}=3\\\\\frac{2*(9x^{2}-25)-5(x^{2}+4x+4)}{(3x-5)(x+2)}=3[/tex]

[tex]\frac{18x^{2}-25-5x^{2}-20x-20}{3x^{2}+x-10}=3\\\\\frac{18x^{2}-5x^{2}-20x - 25-20}{3x^{2}+x-10}=3\\\\[/tex]

13x² - 20x - 45 = 3*(3x² + x - 10)

13x² - 20x - 45 =9x² + 3x - 30

13x² - 9x² -20x - 3x - 45 + 30 = 0

4x² - 23x - 15 = 0

Solve the triangle. Round to the nearest tenth when neccesary or to the nearest minute as appropriate. ​

Answers

Answer:

Here is the detailed answer below

Step-by-step explanation:

Does anyone know the answer plz ?

Answers

Answer:

x = 5; y = 5

Step-by-step explanation:

One angle is a right angle, so its measure is 90 degrees.

One angle measures 45 degrees, so the unknown angle must also measure 45 degrees.

x and y are opposite two 45-degree angles, so x = y.

In a 45-45-90 triangle, the ratio of the lengths of the sides is

1 : 1 : sqrt(2)

We have

x : y : 5sqrt(2)

x/1 = 5sqrt(2)/sqrt(2)

x = 5

y = 5

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