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2 years ago

LAST ONE I SWEAR BUT STILL WILL MARK BRAINLIEST

Mathematics

2 answers:

Svetlanka [38]2 years ago

6 0

Actually I think it may be C

Mamont248 [21]2 years ago

4 0

Answer:

(a)

Step-by-step explanation:

Given the 2 equations

6x + 2y = - 6 → (1)

3x - 4y = - 18 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the term in y

12x + 4y = - 12 → (3)

Add (2) and (3) term by term

15x = - 30 ( divide both sides by 15 )

x = - 2

Substitute x = - 2 into either (1) or (2) and solve for y

Substituting into (1)

6(- 2) + 2y = - 6

- 12 + 2y = - 6 ( add 12 to both sides )

2y = 6 (divide both sides by 2 )

y = 3

Solution is (- 2, 3)

To determine the system with the same solution.

Substitute the x and y values of the solution into the left side of the equations and if equal to the right side then they are a solution.

(a)

8(- 2) + 4(3) = - 16 + 12 = - 4 = right side

17(- 2) + 2(3) = - 34 + 6 = - 28 = right side

Thus system (a) has the same solution

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Use mathematical induction to prove that if L is a linear transformation from V to W, then L (α1v1 + α2v2 +· · ·+αnvn)= α1L (v1)

e-lub [12.9K]

Answer:

The proof is shown in the explanation below.

Step-by-step explanation:

Analysis:

The proof by induction focuses on n. In this case, let n = 1, and $L^{1}$ will be a linear operator since $L^{1} = L$

The exercise will show that $L^{n}$ is a linear operator on V and that $L^{n+1}$ is also a linear operator on V. This, follows that:

$L^{n+1} (av) = L(L^{m}(v_{1}+v_{2})\\ = L(L^{m} (v_{1} + L^{m}v_{2})\\ = L(L^{m}v_{1} + L(L^{m}v_{2})\\ = L^{m+1}(v_{1}) + L^{m+1}(v_{2})$

6 0

2 years ago

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If 11 boxes of chocolates contain 220 chocolates in total, calculate how many chocolates 5 box of chocolates will contain

egoroff_w [7]

Answer:100 chocolates

Step-by-step explanation:

20 chocolate in each box so 20 time 5 is 100 so 20 time 11 is 220

4 0

2 years ago

On a blueprint, the scale indicates that 4 centimeters

makvit [3.9K]

Answer:

Length: 15 feet Width: 105 feet

Step-by-step explanation:

set up a proportion of x over 4 and x over 12 fill in the length or width that you do know. Then cross multiply and solve the simple equation you get: for example) 60 = 4x. Just divide both sides by 4 to get x by itself.

Hope this answered your question!

6 0

2 years ago

I need help very important

siniylev [52]

Answer:

∠ EFG = 83°, ∠ GCE = 97°

Step-by-step explanation:

Since FE and FG are tangents to the circle then

∠ FGC and ∠ FEC are right angles

The sum of the angles in quadrilateral CEFG = 360°

Sum the 4 angles and equate to 360

3x + 11 + 90 + 5x - 23 + 90 = 360, that is

8x + 168 = 360 ( subtract 168 from both sides )

8x = 192 ( divide both sides by 8 )

x = 24

Thus

∠ EFG = 3x + 11 = 3(24) + 11 = 72 + 11 = 83°

∠ GCE = 5x - 23 = 5(24) - 23 = 120 - 23 = 97°

4 0

2 years ago

How can you find this distance (-3,7),(0,4) in words

Bezzdna [24]

Answer:

The distance between these two given points is:

$3\sqrt{2}$

Step-by-step explanation:

We are given two points:

(-3,7),(0,4)

<em>The distance between two points (a,b) and (c,d) is given by the distance formula as:</em>

similarly we can find the length of a line segment by considering the distance between the end points of the line segment.

So here (a,b)=(-3,7)

and (c,d)=(0,4).

Hence distance between these two points is given by:

$\sqrt{(0-(-3))^2+(4-7)^2}=\sqrt{(3)^2+(-3)^2}=\sqrt{9+9}\\ \\=\sqrt{18} \\\\=3\sqrt{2}$

6 0

3 years ago

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