Solve the system of equations shown below algebraically.
x+y=1
x^2+y^2=61​

[tex] (\frac{x + 1}{x} ) ^{2} \\ = \frac{ {(x + 1)}^{2} }{ {x}^{2} } \\ = \frac{ (x + 1)(x + 1) }{ {x}^{2} } \\ = \frac{ {x}^{2} + 2x + 1}{ {x}^{2} } [/tex]

Hope you could get an idea from here.

Doubt clarification- use comment section.

Answer:

x = 14

z = 70

Step-by-step explanation:

(10x - 30) + (11x - 84) = 180

x = 14

(10(14) - 30) + z = 180

z = 70

Answer:

V= (2/3) π r³

hope this helps :>

Answer:

x = 5.

Sorry if you didn't mean find x and I have no idea about the inequality stuff.

Step-by-step explanation:

We can do a reverse equation in steps. So the first thing we'll do is..

49 - 9 which equals 40.

Then we should do a division since the opposite of multiplication is division.

40 divided by 8 = 5.

To check that we do 5 x 8 = 40 + 9.

Hope that helps. x

Answer:

See below

Step-by-step explanation:

9 + 8x [tex]\geq[/tex] 49

Subtract 9 from both sides

8x [tex]\geq[/tex] 40

Divide by 8

x [tex]\geq[/tex] 5

Answer:

y = [tex]\frac{a^2-ab}{a+1}[/tex]

Step-by-step explanation:

a - y = b + [tex]\frac{y}{a}[/tex] ( multiply through by a to clear the fraction )

a² - ay = ab + y ( subtract y from both sides )

a² - ay - y = ab ( subtract a² from both sides )

- ay - y = ab - a² ← factor out y from each term on the left side

y(- a - 1) = ab - a² ( divide both sides by - a - 1 )

y = [tex]\frac{ab-a^2}{-a-1}[/tex] ( multiply numerator/ denominator by - 1 )

y = [tex]\frac{a^2-ab}{a+1}[/tex]

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

238 kg

Step-by-step explanation:

If 4 bushels weight 112, then divide 112 by 4 and you get that each bushel weighs 28 kg. Now multiply that by 8.5.

Answer:

3y-2x-4x+5x+7

please help meeeeeeeeeeee

[tex]3y-2x-4x+5x+7\\\\=3y-x+7[/tex]

Are you looking for a acute angle?

Answer:

Its right angel

Step-by-step explanation:

Sorry if m wrong

Answer:

Step-by-step explanation:

2.6*50=130 km

Answer:

The answer to 2 is "acute".

The answer to 6 is "right triangle"

For 10, it actually is possible. An example is 50, 50, 80

Step-by-step explanation:

An acute triangle is when each angle is less than 90 degrees.

Any triangle with 90 degrees for one angle counts as a right triangle.

all angle measures in a triangle must add up to 180 degrees. Hope this helps!

Answer:

u can use fraction calculator

Step-by-step explanation:

just go and search 'fraction calculator'

Answer:

70°

Step-by-step explanation:

The V angle is complementary with the R which means that

120° + V angle = 180° Therefore V = 60°

The sum of the internal angles of the triangles equals 180.

We have 50° + 60° + U = 180

70° is the answer

Answer:

Place the ruler such that the edge is against the object. Parallax is a distortion of view because humans see through two sources, not just one. the farther the object is away from the ruler, the more that parallax can affect the situation.

Step-by-step explanation:

Based on the information given, the percentage of time that'll be required to meet the policy will be 10%.

From the complete information, the probability distribution will be:

= 1/(b - a) = 1/(30 - 10) = 1/20

Since the company policy requires employees to be less than 12 minutes late for work, the percentage of the time that Oliver will meet company policy will be:

= (12 - 10) × 1/20

= 2 × 1/20

= 1/10

= 10%

In conclusion, the correct option is 10%.

Learn more about percentage on:

https://brainly.com/question/24304697

Step-by-step explanation:

2(3x + 4) - 4(x + 2) = 6

6x + 8 - 4x - 8 = 6

2x = 6

x = 6/2 = 3

Answer:

The input is being multiplied by 10.

This can be represented with the function x * 10 = y with x representing the input and y representing the output.

Step-by-step explanation:

Answer:

p=0.6

Step-by-step explanation:

Answer:

Total displacement = 2.52 kilometers [south east][tex]a^2 + b^2 = c^2\\1.13^2 + 2.25^2 = c^2\\c^2 = 6.3394\\c = 2.52[/tex]

Step-by-step explanation:

By the Pythagorean Theorem:

Answer:

x=13/15

Step-by-step explanation:

2/3=x-1/5

find LCD=15

10/15=x-3/15

add 3/15 to both sides

13/15=x

Answer:12m

Step-by-step explanation:

Because you are given that this is a right angled triangle, you can apply the pythagoras theorem where a^2 = b^2 + c^2

15^2 = 9^2 + x^2

225-81 = x^2

144 = x^2

x = 12m

Answer: the answer is D

Step-by-step explanation: - 2 *9 + 3* 7 = 3

-5 *9 + 6 * 7 = - 3

And 3>1

-3<1

Answer:

14

Step-by-step explanation:

x=4 y=1

Substitute them into the equation 3x-4yy+6

3(4)-4(1)+6

12-4+6

Answer:

a, h and k have values 1, -5 and -10 respectively

Answer:

a2 – b2 = (a – b)(a + b)

(a + b)2 = a2 + 2ab + b

a2 + b2 = (a + b)2 – 2ab

(a – b)2 = a2 – 2ab + b

That's all i know- rip TvT

Answer:

  (4, -2)

Step-by-step explanation:

Use the expression for y given by the first equation to substitute for y in the second equation.

  2(2x -10) = x -8 . . . substitute for y

  4x -20 = x -8 . . . . . eliminate parentheses

  3x = 12 . . . . . . . . add 20-x

  x = 4 . . . . . . . . .divide by 3

  y = 2(4) -10 = -2 . . . substitute for x in the first equation

The solution is (x, y) = (4, -2).

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]

We've been given to find out the values of x & y from the two given linear equations by substitution method.

Here we have,

As we have given the value of y i.e (y = 2x - 10) placing this value of y in the second equation we get,

[tex]:\implies\tt{2(2x - 10) = x - 8}[/tex]

[tex]:\implies\tt{4x - 20 = x - 8}[/tex]

[tex]:\implies\tt{4x - x = - 8 + 20}[/tex]

[tex]:\implies\tt{3x = 12}[/tex]

[tex]:\implies\tt{x = \frac{12}{3} }[/tex]

[tex]:\implies\tt{x = 4}[/tex]

Placing x = 4 in equation (1) we get,

[tex]:\implies\tt{y = 2x - 10}[/tex]

[tex]:\implies\tt{y = 2 \times 4 - 10}[/tex]

[tex]:\implies\tt{y = 8 - 10}[/tex]

[tex]:\implies\tt{y = - 2}[/tex]

Answer:

Step-by-step explanation:

(1). (x - h)² + (y - k)² = r²

where (h, k) are coordinates of a center of the circle with radius r

(2). ( a ± b )² = a² ± 2ab + b²

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

( 1 , - 2 ) ; r = 3

( x - 1 )² + ( y + 2 )² = 3²

x² - 2x + 1 + y² + 4y + 4 = 9

x² + y² - 2x + 4y - 4 = 0

a = - 2

b = 4

c = - 4