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3 years ago

I need to know the answer

Mathematics

1 answer:

Nesterboy [21]3 years ago

3 0

Answer in the attachment.

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Tell whether the ordered pair is a solution of the given system. (-2,-4) {y=1/2x -3, y=-2x-8}

kompoz [17]

Answer:

The ordered pair $(-2,\, -4)$ is indeed a solution to the system:

$\left\lbrace\begin{aligned} & y = \frac{1}{2}\, x - 3 \\ & y = -2\, x - 8\end{aligned}\right.$ .

Step-by-step explanation:

Consider a system of equations about variables $x$ and $y$ . An ordered pair $(x_{0},\, y_{0})$ (where $x_{0}$ and $y_{0}$ are constant) is a solution to that system if and only if all equations in that system hold after substituting in $x = x_{0}$ and $y = y_{0}$ .

For the system in this question, $(-2,\, -4)$ would be a solution only if both equations in the system hold after replacing all $x$ in equations of the system with $(-2)$ and all $y$ with $(-4)$ .

The $\texttt{LHS}$ of the equation $y = (1/2)\, x - 3$ would become $(-4)$ . The $\texttt{RHS}$ of that equation would become $(1/2) \, (-2) - 3$ . The two sides are indeed equal.

Similarly, the $\texttt{LHS}$ of the equation $y = -2\, x - 8$ would become $(-4)$ . The $\texttt{RHS}$ of that equation would become $(-2)\, (-2) - 8$ . The two sides are indeed equal.

Thus, $x = (-2)$ and $y = (-4)$ simultaneously satisfy both equations of the given system. Therefore, the ordered pair $(-2,\, -4)$ would indeed be a solution to that system.

8 0

2 years ago

angle 0 is in quadrant 1 with sin0 = 2/5. Use the Pythagorean identity, sin^2 0 + cos^2 0 = 1, to calculate the value of cos0 as

Gwar [14]

We know that
sin²x+cos²x=1
so
clear cos x
cos x=(+/-)√[1-sin²x]

in this problem
<span>Angle 0 is in quadrant 1 -----> cos o and sin o are positive
</span>sin o=2/5
cos x=√[1-(2/5)²]----> cos o=√[1-4/25]----> cos o=√[21/25]---> cos o=√21/5

the answer is
cos o=√21/5

7 0

3 years ago

Find the equation of the straight line which passes through (3,5) and makes y-inte<br>r-intercept.

elixir [45]

Answer:

Please restate your question.

It needs the y-intercept to be decipherable.

Step-by-step explanation:

6 0

2 years ago

A circular tablecloth has a radius of 3.5 feet. Lyle is sewing a piece of ribbon around the edge of the tablecloth. If Lyle has

HACTEHA [7]

Answer:

22ft

Step-by-step explanation:

Length or ribbon = Circumference of the circle

C = 2πr

C = 2π(3.5)

C = 21.99

4 0

3 years ago

Read 2 more answers

The expression -120 + 13m represents a submarine that began at a depth of 120 feet below sea level and ascended at a rate of 13

Juli2301 [7.4K]

Answer:

It would be at a depth of 42 meters below the surface

Step-by-step explanation:

13(6)=78 -120+78=-42

8 0

2 years ago