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3 years ago

Tell whether the ordered pair is a solution of the given system (-2,1); {y=-2x-3; y=x+3

2 answers:

7 0

Plug the ordered pair into EACH equation and if it true for BOTH equations then it is a solution to the system.
1 = -2(-2) -3
1 = 4 - 3
1 = 1 Checks

1 = -2 + 3
1 = 1 Checks
Since it works in both equations YES, it is a solution
There are more ways to determine if an ordered pair is a solution if you're interested in another way.

Nataly_w [17]3 years ago

6 0

Yes it is a solution

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Please help will mark brainliest

beks73 [17]

Answer:

$m\angle N=57^{\circ}$

Step-by-step explanation:

From the isosceles-base theorem, the measure of the angles adjacent to the pair of congruent sides of the triangle are equal. Since the problem declares $LM\cong LN$ , the remaining unknown angles are equal ( $m\angle N=m\angle M$ ). The sum of the interior angles of a triangle always add up to $180^{\circ}$$ .

Therefore:

$m\angle N\cdot 2+66=180,\\m\angle N\cdot 2=114,\\m\angle N=\fbox{$57^{\circ}$}$ .

7 0

3 years ago

Read 2 more answers

Use a matrix equation to solve the system of linear equations. left brace Start 2 By 1 Matrix 1st Row 1st Column 2nd Row 1st Col

natali 33 [55]

Answer:

$\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]$

Step-by-step explanation:

The matrix system for the linear equations: x + 2y = 8, 2x + 6y = 9

$\left[\begin{array}{ccc}1&2&\\2&6\\\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}8\\9\end{array}\right]$

To get the coefficient of x and y, the inverse of the first matrix (let the first matrix be A) must be known.

$A^{-1}$ = (1 / determinant of A) x Adjoint of A

the determinant of A = (1 x 6) - (2 x 2) = 6 - 4 = 2

Adjoint of A = $\left[\begin{array}{ccc}6&-2&\\-2&1\\\end{array}\right]$

$A^{-1}$ = $\frac{1}{2} \left[\begin{array}{ccc}6&-2\\-2&1\end{array}\right]$ = $\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]$

4 0

3 years ago

If f(x) is a linear function, what is the value of n?

lana [24]

The generic equation for a linear function can be expressed in the slope intercept form f(x) = mx + b, where m is the slope and b is the y intercept. For this problem we can first find the equation of the line. Then we substitute x = 7 to get the f(x) value, which is n at the point x = 7.

To find the equation of the linear function we first find the slope. Slope is defined as the change in f(x) divided by the change in x. As we are given a linear function, the slope at every point is the same. We can pick any two points known to find the slope.

Let's pick (3, 7) and (9, 16). The slope m is m = (16-7)/(9-3) = 9/6 = 3/2.

Now that we have the slope, we can plug in the slope and one of the points to find b. Let's use the point (3, 7).
f(x) = mx + b
7 = (1/2)(3) + b
b = 11/2

Now we can write the equation
f(x) = (1/2)x + 11/2

Plugging in x = 7 we find that f(7) = 9. n = 9

4 0

3 years ago

Read 2 more answers

Someone please explain the solution to this :

juin [17]

Answer: 17.5 units.

Step-by-step explanation:

The triangle LAY is a similar triangle to LYW. It has the same angle measures, but different side lengths. The hypotenuse of LAY is the line LY, while the hypotenuse of LYW is the line LW.

We can use the line LY to find LW.

Use the Pythagorean Theorem to find LY:

(3.5)^2 + 7^2 = 61.25

So, LY has a length of $\sqrt{61.25}$ .

You can then use proportions to find the distance of LW.

The line LA is the base of the smaller triangle, and the line LY is the base of the larger triangle.

The line LY is the hypotenuse of the smaller triangle, and the line LW is the hypotenuse of the larger triangle.

$\frac{3.5}{\sqrt{61.25} } =\frac{\sqrt{61.25} }{y}$

You can then cross multiply to get this equation:

$61.25 = 3.5y$

So, the line LW has a length of 17.5.

3 0

3 years ago

Help I don’t know the answer

Marrrta [24]

Answer:

15 ft

Step-by-step explanation:

cause

24/8=3

5×3=15

6 0

3 years ago