All categories

4 years ago

What is the solution to the system of eqautions x-2y=4 -3x+6y=12

Mathematics

1 answer:

irina1246 [14]4 years ago

6 0

Answer:

I think the answer is... C. No Solution because if you plug in those points for x & y, it has no solution... It is false... so yeah... I'm really really sorry if I'm wrong...

Step-by-step explanation:

x -2y = 4 - 3x + 6y = 12

-2 - 2(4) = 4 - 3(-2) + 6(4) = 12

-2 - 8 = 4 6 + 24 = 12

-10 = 4 30 = 12

x -2y = 4 - 3x + 6y = 12

0 - 2(-2) = 4 - 3(0) + 6(-2) = 12

0 + 4 = 4 0 - 12 = 12

4 = 4 - 12 = 12

You might be interested in

What are the intercepts for x and y ? thanks in advance

SpyIntel [72]

Answer:

see explanation

Step-by-step explanation:

The x- intercept is the value of x where the line crosses the x- axis.

The x- intercept is (0.3, 0)

The y- intercept is the value of y where the line crosses the y- axis

The y- intercept is (0, 0.4)

3 0

3 years ago

5^7/5^5 hurrrrrrrrryyyyyyyyyyyyy

Gnoma [55]

Answer:

Step-by-step explanation:

8 0

3 years ago

Select all the pairs of equivalent expressions.

iren2701 [21]

Answer:

$\huge\boxed{(3^4)^4=3^8\cdot3^8}\\\boxed{4^3\cdot5^3=20^3}\\\boxed{(4^3)^3=4^3\cdot4^3\cdo4^3}$

Step-by-step explanation:

$a^n\cdot a^n=a^{n+m}\\\\(a^n)^m=a^{n\cdot m}\\\\(a\cdot b)^n=a^n\cdot b^n\\=====================$

$(4^3)^3=4^{3\cdot3}=4^9\\4^3\cdot4^3=4^{3+3}=4^6\\\\4^9\neq4^6\to(4^3)^3\neq4^3\cdot4^3\\==================$

$(3^4)^4=3^{4\cdot4}=3^{16}\\3^8\cdot3^8=3^{8+8}=3^{16}\\\\(3^4)^4=3^8\cdot3^8\\================$

$6^4\cdot3^4=(6\cdot3)^4=18^4\\\\18^4\neq18^8\to6^4\cdot3^4\neq18^8\\=================$

$4^3\cdot5^3=(4\cdot5)^3=20^3\\\\4^3\cdot5^3=20^3\\=================$

$(4^3)^3=4^{3\cdot3}=4^9\\4^3\cdot4^3\cdot4^3=4^{3+3+3}=4^9\\\\(4^3)^3=4^3\cdot4^3\cdot4^3$

3 0

4 years ago

Two partners agree to invest equal amounts in their business. One will contribute $10,000 immediately. The other plans to contr

krek1111 [17]

Answer:

She should contribute $ 8369.38 ( approx )

Step-by-step explanation:

Let P be the amount invested by the other partner,

∵ The amount formula in compound interest,

$A=P(1+\frac{r}{n})^{nt}$

Where,

r = annual rate,

n = number of compounding periods in a year,

t = number of years,

Here, r = 9% = 0.09, n = 4 ( quarters in a year ), t = 2 years,

Then the amount after 2 years,

$A = P(1+\frac{0.09}{4})^{8}$

According to the question,

A = $ 10,000,

$P(1+\frac{0.09}{4})^{8}= 10000$

$P(1+0.0225)^8 = 10000$

$\implies P = \frac{10000}{1.0225^8}\approx \$ 8369.38$

6 0

4 years ago

Triangle A'B'C' is a rotation of triangle ABC by 60 degrees using Q as the center.

butalik [34]

Answer:

The correct options are;

D. Triangles ABC and A'B'C' are congruent

E. Angle ABC is congruent to angle A'B'C'

F. Segment BC is congruent to segment B'C'

H. Segment AQ is congruent to segment A'Q'

Step-by-step explanation:

The given information are;

The angle of rotation of triangle ABC = 60°

Therefore, given that a rotation of a geometric figure about a point on the coordinate plane is a form of rigid transformation, we have;

1) The length of the sides of the figure of the preimage and the image are congruent

Therefore;

BC ≅ B'C'

2) The angles formed by the sides of the preimage are congruent to the angles formed by the corresponding sides of the image

Therefore;

∠ABC ≅ ∠A'B'C'

3) The distances of the points on the figure of the preimage from the coordinates of the point of rotation are equal to the distances of the points on the figure of the image from the coordinates of the point of rotation

Therefore;

Segment AQ ≅ A'Q'.

4 0

4 years ago