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3 years ago

What is the slope of the line that contains points (2,9) and (8,7) ?

2 answers:

4 0

Slope (M) = -0.33333333333333
θ = 341.56505117708°
distance (D) = 6.3245553203368
ΔX = 6
ΔY = -2

spayn [35]3 years ago

4 0

slope = change in y over change in x

y = 7-9 = -2

x = 8-2 =6

slope = -2/6 = -1/3

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4p^2 = -P+12 In quadratic formula

Vesnalui [34]

The answer will be 32 + 12

5 0

3 years ago

BEST GETS BRAINLIEST +POINTS +THANKS PLS HELP find the measure of ST

Sergeu [11.5K]

Answer:

ST = 4

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Please help? Graph <img src="https://tex.z-dn.net/?f=-3x%5E2%2B12y%5E2%3D84" id="TexFormula1" title="-3x^2+12y^2=84" alt="-3x^2+

mariarad [96]

$-3x^2+12y^2=84$
$12y^2=3x^2+84$
$y^2=\dfrac{x^2}4+7$
$y=\pm\sqrt{\dfrac{x^2}4+7}$

For either square root to exist, you require that $\dfrac{x^2}4+7\ge0$ . This is true for all $x$ , since $\dfrac{x^2}4$ is always non-negative. This means the domain of $y$ as a function of $x$ is all real numbers, or $x\in\mathbb R$ or $(-\infty,infty)$ .

Now, because $\dfrac{x^2}4+7$ is non-negative, and the smallest value it can take on is 7, it follows that the minimum value for the positive square root must be $\sqrt7$ , while the maximum value of the negative root must be $-\sqrt7$ . This means the range is $y\in\mathbb R\setminus(-\sqrt7,\sqrt7)$ , or $|y|\ge\sqrt7$ , or $(-\infty,-\sqrt7]\cup[\sqrt7,\infty)$ .

6 0

4 years ago

Factor x^4 - 2x^3 - 33x^2 + 50x + 200 completely using the given factor x^2 - 25.

PIT_PIT [208]

You can do synthetic division twice immediately (or once if you know how to handle x^2 - 25 all at once. I'll use 2 divisions. x^2 - 25 is (x + 5)(x - 5). Both of them are zeros to the given equation which means that x = +5 and

x = - 5 are both zeros of the given quartic.

5 1 -2 -33 50 200

5 15 -90 -200

=====================================

1 3 -18 -40 0

What you have now is x^3 + 3x^2 - 18x - 40 = 0

Do another synthetic division

-5 1 3 -18 -40

-5 10 40

============================

1 -2 -8 0

The result is

x^2 - 2x - 8 = 0 which factors.

(x + 2)(x - 4) = 0

Answer

The factors are (x + 2)(x - 4)(x + 5)(x - 5) = 0

Long division

x^2 + 0 + 25 ||x^4 - 2x^3 - 33x^2 + 50x + 200 ||x^2 - 2x - 8

x^4 + 0 + 25x^2

==================

-2x^3 -8x^2 + 50x

-2x^3 + 0 + 50x

=================

-8x^2 + 0 +200

-8x^2 + 0 + 200

==================

5 0

4 years ago

f(x) = ax^3 + bx^2 + cx + d In the polynomial above, a, b, c, and d are constants. If f(–5) = 3, which of the following must be

Amiraneli [1.4K]

The remainder when f(x) is divided by x + 5 is 3.

What is an Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

we discovered that the polynomial equation is the equation that results from equating a polynomial function to zero. A linear equation results from equating a function to zero if it is a linear polynomial. We get a quadratic equation if the function is a quadratic polynomial.

f(x) = ax^3 + bx^2 + cx + d

In the polynomial above, a, b, c, and d are constants and f(-5)=3.

- 5 is the root of the given polynomial when remainder is 3 so we get the one factor of the given polynomial and that is,

x-(-5)=(x+5)

That is if f(-5)=3 it means that the remainder when f(x) is

divided by (x-(-5))=x+5 is 3

Hence, The remainder when f(x) is divided by x + 5 is 3

Learn more about equations, by the following link

brainly.com/question/2972832

#SPJ1

8 0

1 year ago