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denpristay [2]
3 years ago
14

On a coordinate plane, a line goes through (negative 4, 2) and (negative 2, negative 4). Which are solutions of the linear equat

ion? Select all that apply. 3x + y = –10
Mathematics
2 answers:
elena-s [515]3 years ago
8 0

Answer:

The 2nd and last one

Step-by-step explanation:

(-2,-4)

(-5,5)

I did it on edge 2020

hammer [34]3 years ago
3 0

Answer:

Y = (-3) *X - 10

solution for Y =0 ---> X = -10/3

Step-by-step explanation:

Two points:

(Y0 ; X0) = (-4 ; 2)  

(Y1 ; X1) = (-2 ; -4)

There is only one line which pass for both of them, his general expresion is:

y = a*x + b --- (1)

Calculating "a": is the pending of the line.

a = \frac{Y1 - Y0}{X1 - X0} = \frac{(-4) - (2)}{-2 - (-4)} =\frac{-6}{2} = -3

Calculating "b":

Since every point who belongs to the line satisfied the (1) expresion, we can use it for the point (Y1 ; X1) :

Y0 = (-3)*X0 + b  ---> 2 = (-3)*(-4) + b ---> b = -10

<u>Final expresion</u>

Replacing in (1): Y = (-3) *X - 10

Solutions: Y = (-3) *X - 10 = 0 --- > X = -\frac{10}{3}

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For what values of theta (0 less than or equal to theta less than or equal to 2pi) do maximum r values occur on the graph the po
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Answer:

Step-by-step explanation:

To find the values of the angle which makes maximum r you use the derivative of r

\frac{dr}{d\theta}=\frac{1}{3}sin(3\theta)

If you equals this derivative to zero you obtain the value of the angle:

\frac{dr}{d\theta}=0\\\\cos3\theta=0\\\\3\theta=\frac{\pi}{2}\\\\\theta=\frac{\pi}{6}

However, the values of 5π/6 and 9π/6 are also available, because makes the sinusoidal function equal  to 1.

hence, the answer is:

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3 years ago
What is an armistice?
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4 years ago
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Which of the following best describes the pattern in the diagram shown
Vikentia [17]

As you move from left to right, the number of points in the star increases by 1 and is the best option which describes the diagram which is therefore denoted as option B.

<h3>What is a Point?</h3>

This can be referred to an important object in geometry and is usually represented by a dot. It also helps to tell the exact location of substances or objects and doesn't have certain parameters such as the length or width.

We can deduce that Star 1 has four points, star 2 has five points and star 3 has six points. We can therefore infer that the stars in the diagram given below has some amount of points which increases by one as we move from left to right thereby making it the most appropriate choice in this type of scenario.

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2 years ago
Find a degree 4 polynomial having zeros -8,-1,4 and 5 and the coefficient of x^4 equal 1.
Keith_Richards [23]

Answer:

  x^4 -53x^2 +108x +160

Step-by-step explanation:

If <em>a</em> is a zero, then (<em>x-a</em>) is a factor. For the given zeros, the factors are ...

  p(x) = (x +8)(x +1)(x -4)(x -5)

Multiplying these out gives the polynomial in standard form.

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We note that these factors have a sum and difference with the same pair of values, x^2 and 9x. We can use the special form for the product of these to simplify our working out.

  = (x^2 +9x)(x^2 -9x) +20(x^2 +9x) +8(x^2 -9x) +8(20)

  = x^4 -81x^2 +20x^2 +180x +8x^2 -72x +160

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_____

The graph shows this polynomial has the required zeros.

4 0
4 years ago
The endpoints of EF¯¯¯¯¯¯¯¯ are E(−4,12) and F(3,15). Find the coordinates of the midpoint M..
Ray Of Light [21]

Answer:

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Step-by-step explanation:

Midpoint formula: (x^1 +x^2/ 2, y^1 +y^2/ 2)

(-4 +3 /2, 12+15/ 2) -> (-1/2, 27/2)

5 0
3 years ago
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