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2 years ago

What is the slope line through 1,-1 and 6,2

Mathematics

1 answer:

jeka57 [31]2 years ago

8 0

Answer:

$\huge\boxed{slope=\dfrac{3}{5}=0.6}$

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (1, -1) and (6, 2).

Substitute:

$m=\dfrac{2-(-1)}{6-1}=\dfrac{2+1}{5}=\dfrac{3}{5}=0.6$

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Find the inner product for (-8,2) (4.5,18) and state whether the vectors are perpendicular.

Anna71 [15]

Answer: 0; Yes

Step-by-step explanation:

-8 x 4.5 = -36

2 x 18 = 36

-36 + 36 = 0

since the product is zero, the vectors are perpendicular

3 0

2 years ago

In this composite function, (f◦g)(x) where f(x)=(X-3) and g(x)=X^2 what is (f◦g)(x) when x=1?

Alekssandra [29.7K]

Answer:

When x = 1, (f◦g)(x) is -2.

Step-by-step explanation:

Composite function:

The composite function of f and g is given by:

$(f \circ g)(x) = f(g(x))$

In this question:

$f(x) = x - 3, g(x) = x^2$

Composite function:

The composite function is:

$f(g(x)) = f(x^2) = x^2 - 3$

At x = 1

$(f \circ g)(1) = 1^2 - 3 = 1 - 3 = -2$

When x = 1, (f◦g)(x) is -2.

3 0

3 years ago

32 is closer to_ than it is to_.

IgorC [24]

32 is closer to 33 than it is to 40

3 0

2 years ago

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Is 16x^2-36x+25^2 a perfect Square trinomial

yulyashka [42]

Answer:

No, middle term should be 40x.

Step-by-step explanation:

$16 {x}^{2} - 2 \times 4x \times 5 + {25}^{2} \\ = {(4x)}^{2} - 40x + {5}^{2} \\ = (4x - 5)^{2} \\$

Hence, for the given trinomial to be a perfect square its middle term should be 40x and not 36x.

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3 years ago

40 pts!! Simplify the expression in the picture.

tino4ka555 [31]

Answer:

D. (27x^6y^9) / x^9.

Step-by-step explanation:

(3x^2y^3 / z^3 )^3

= 3^3 x^(2*3)y(3*3) / z^(3^3)

= 27 x^6y^9 / x^9.

4 0

3 years ago

Read 2 more answers