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4 years ago

The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations?

Mathematics

2 answers:

otez555 [7]4 years ago

4 0

The solution (-4,2) satisfies for the system of linear equations 3x + 13y = 14; 6x + 11y = -2

<u>Step-by-step explanation:</u>

Step 1:

Given detail is the solution of the equations (-4, 2) ie, x= - 4 and y = 2

This implies that this solution should satisfy the given linear equations.

Step 2:

Substitute values of x and y in the equations and verify whether the right hand side equals the left hand side.

System 1 Eq(1) ⇒ LHS = 3(-4) + 13 (2) = -12 + 26 = 14 = RHS

System 1 Eq(2) ⇒ LHS = 6(-4) + 11(2) = -24 + 22 = -2 = RHS

Therefore, the first system of linear equations satisfy the condition.

Marat540 [252]4 years ago

3 0

Answer:

Selection A is the correct answer i took test

Step-by-step explanation:

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Relative density was determined for one sample of second-growth Douglas fir 2 x 3 4s with a low percentage of juvenile wood and

Citrus2011 [14]

Answer:

0.03865

Step-by-step explanation:

Since the true density for the two types of trees are given, we would evaluate the average for both of them

Low percentage of juvenile wood density = 0.523 and 0.0543

Average density = 0.523 + 0.0543/2

Average density = 0.55015

Moderate percentage of juvenile wood density = 0.489 and 0.0450

Average density = 0.489 + 0.0450/2

Average density = 0.5115

Therefore, difference in true average density for the two woods are = 0.55015 - 0.51150

= 0.03865

5 0

3 years ago

The measure of angle D is 5 times the measure of angle E. The two angles are supplementary. Find the measure of each angle

steposvetlana [31]

Angle e = x angle d = 5x supplementary means they add up to 180
x + 5x =180
6x = 180
6x/6 = 180/6
x = 30
so angle e = 30 and angle d = 5(30) = 150

4 0

4 years ago

Consider the circle shown with center O and points A , B , C , and D on the circle.

leva [86]

Answer:

the answer is c

Step-by-step explanation:

3 0

2 years ago

3x3x3x3x2x2. Complete the expression using exponents

cricket20 [7]

Answer:

3 to the power of 4 and 2 squared

Step-by-step explanation:

count the amount of numbers and put the little number in top right (exponent)

6 0

3 years ago

Read 2 more answers

Find the equation of the line (in slope-intercept form) through the points (1,-4) and with slope 5/2.

Phoenix [80]

Answer:

Equation of a line is y = mx + c

Where m is the slope

c is the y intercept

Equation of the line using point

( 1 , - 4) and slope 5/2 is

$y + 4 = \frac{5}{2} (x - 1) \\ \\ y + 4 = \frac{5}{2} x - \frac{5}{2} \\ \\ y = \frac{5}{2} x - \frac{5}{2} - 4 \\ \\ \\ y = \frac{5}{2} x - \frac{13}{2}$

Hope this helps you

8 0

4 years ago