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inna [77]
3 years ago
6

Solve y=-1/4x+2 2x+8y=-40

Mathematics
1 answer:
PolarNik [594]3 years ago
5 0

Answer:

No solution

Step-by-step explanation:

This is just a simple system of equations.

y=-1/4x+2

8y+2x=-40

Get the same variables onto their corresponding sides, so it will look like this:

y=-1/4x+2

8y=-2x-40

Now here, you have to be careful, because to solve for the system of equations, you need to make sure you are multiplying the equation proportionately.

8y=-2x+16

8y=-2x+40.

But here you see that they share the same variables in a similar format, but their values are supposed to be different, meaning that this equation is a false claim. So you would respond to the question as "no solution.

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If angle 1= 105°, angle 12= (3x + 15)°, and angle 7 = (8y-5)°, determine the values<br> of x and y.
Darina [25.2K]

The value of the variable x is 30° and the value of the variable y is 10°.

The missing diagram is attached below.

<h3>What is an angle?</h3>

The angle is the distance between the intersecting lines or surfaces.

Corresponding angle – If two lines are parallel, then the third line. The corresponding angles are equal angles.

Vertically opposite angle – When two lines intersect, then their opposite angles are equal.

Linear angle – If the total of two angles is 180 degrees, they are said to be linear angles.

∠1 = ∠5 = ∠9 = 105° (corresponding angles)

∠1 = ∠4 = 105° (Vertical opposite angles)

∠1 + ∠2 = 180° (linear angle)

       ∠2 = 75°

∠2 = ∠3 = 75° (Vertical opposite angles)

∠3 = ∠8 = ∠12 = 75° (corresponding angles)

If angle ∠1 = 105°, angle ∠12 = (3x + 15)°, and angle ∠7 = (8y-5)°.

Then the value of x and y will be

   ∠9 = ∠12

   ∠1 = ∠12

105° = (3x + 15)°

  3x = 90°

    x = 30°

∠6 = ∠7

75° = (8y – 5)°

8y = 80°

  y = 10°

More about the angled link is given below.

brainly.com/question/15767203

#SPJ1

7 0
2 years ago
IS THIS IN SIMPLIST FORM? PLEASE HELP! TY! <br><br> 2( x - 3 + 2 )
Phoenix [80]

Answer:

2x - 2

Step-by-step explanation:

There are two steps to take here.  First add together the -3 + 2 in the brackets:

2(x - 3 + 2)

= 2(x - 1)

Now use the distributive property and multiply each term in the brackets by two:

2(x - 1)

= 2x - 2

And you now have it in simplest form.

3 0
2 years ago
What is the algebraic expression for "the difference between seven times a number and three times that number"?
inna [77]

Answer:

7x-3x = 4x?

I think

8 0
3 years ago
Read 2 more answers
3×-7 equivalent expressions A. -21 B. 4 C. -4 D. 21
USPshnik [31]

Answer:

-21

Step-by-step explanation:

3x7=21 and a negative x a positive is always negative

6 0
2 years ago
How do you factor 125-x^3?
xz_007 [3.2K]

Step-by-step explanation:

We have

125 - x {}^{3}

First, 125 is a perfect cube because

5 \times 5 \times 5 = 125

and

x^3 is a perfect cube because

x \times  x \times x = x {}^{3}

so we can use the difference of cubes identity

( {x}^{3}  -  {y}^{3} ) = (x - y)( {x}^{2}  + xy +  {y}^{2} )

Let say we have two perfect cubes:

64 because 8×8×8=64

and 27 because 3×3×3=27 and let subtract

64 - 27

we know that

64 - 27 = 37

but using the difference of cubes identity we should get the same thing.

Remeber cube root of 64 is 4 and cube root of 27 is 3 so we have

(4 - 3)( {4}^{2}  + 4(3) + 3 {}^{2} )

1(16 + 12 + 9) = 1(37) = 37

So the difference of cubes works for real numbers. This is a good way to help remeber the identity using real numbers.

Back on to the topic,

we know that 5 is cube root of 125 and x is the cube root of x^3 so we have

(5 - x)( {5}^{2}  + 5x +  {x}^{2} ) =

(5 - x)(25 + 5x +  {x}^{2} )

3 0
2 years ago
Read 2 more answers
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