Someone please help me

Answers

Answer 1

Answer: m= $(y2-y1)/(x2-x1)$
= $(-4-(-5))/(-1-(-3)$ (point slope form)
= $(1)/(2)$ (the slope)

Related Questions

A car can travel 247 kilometers on 19 liters of gasoline. how much gasoline will it need to go 429 kilometers?
For which function is the ordered pair (4, 12) not a solution?y = 3x y = x + 8 y = 16 - x y = 8 - x
A model of a famous statue is 2 1/2 inches tall the actual statue is six and two thirds feet tall what is the ratio of the height of the model to the height of the actual statue in simplest form
What is the square root property of:
What multiplies to 42 but adds up to 17?

Simplify the expression

Answers

Answer:

f(x) = 5x² + 2x

g(x) = 6x - 6

Step-by-step explanation:

$(5x^3-8x^2-4x)/(6x^2-18x+12)\n\n6(x^2-3x+2)\ne0\ \iff\ x=(3\pm√(9-8))/(2)\ne0\ \iff\ x\ne2\ \wedge\ x\ne1\n\n\n(5x^3-8x^2-4x)/(6x^2-18x+12)=(x(5x^2-8x-4))/(6(x^2-3x+2))=(x(5x^2-10x+2x-4))/(6(x^2-2x-x+2))=\n\n\n=(x[5x(x-2)+2(x-2)])/(6[x(x-2)-(x-2)]) =(x(x-2)(5x+2))/(6(x-2)(x-1))=(x(5x+2))/(6(x-1))=(5x^2+2x)/(6x-6)\n\n\nf(x)=5x^2+2x\n\ng(x)=6x-6$

The sides of a quadrilateral are 3,4,5 and 6. Find the length of the shortest side of a similar quadrilateral whose area is 9 times as great. A) 9

B) 13.5

C) 27

Answers

Answer:

(A) $9$

Step-by-step explanation:

GIVEN: The sides of a quadrilateral are $3,4,5$ and $6$ .

TO FIND: Find the length of the shortest side of a similar quadrilateral whose area is $9$ times as great.

SOLUTION:

let the height of smaller quadrilateral be $h$

As both quadrilateral are similar,

let the length of larger quadrilateral are $x$ times of smaller.

sides of large quadrilateral are $3x,4x,5x\text{ and }6x$

height of large quadrilateral $=h x$

Area of lager quadrilateral $=\text{base}*\text{height}$

$=4x* hx=4hx^2$

Area of smaller quadrilateral $=\text{base}*\text{height}$

$=4h$

as the larger quadrilateral is $9$ times as great

$(4hx^2)/(4h)=9$

$x^2=9$

$x=3$

shortest side $=3x=3*3=9$

Hence the shortest side of larger quadrilateral is $9$ , option (A) is correct.

Answer:

(A)

Step-by-step explanation:

GIVEN: The sides of a quadrilateral are and .

TO FIND: Find the length of the shortest side of a similar quadrilateral whose area is times as great.

SOLUTION:

let the height of smaller quadrilateral be

As both quadrilateral are similar,

let the length of larger quadrilateral are times of smaller.

sides of large quadrilateral are

height of large quadrilateral

Area of lager quadrilateral

Area of smaller quadrilateral

as the larger quadrilateral is times as great

shortest side

Hence the shortest side of larger quadrilateral is , option (A) is correct.

Step-by-step explanation:

1/10 of 700
1/5 of 700

Answers

$(1)/(10)*700= (700)/(10) = 70 \n \n (1)/(5) *700= (700)/(5) =140$

1/10=0.1
700x0.1=70

1/5=0.25
700x0.2=140

A student drops a penny from the top of a tower and decides that she will establish a coordinate system in which the direction of the penny's motion is positive. what is the sign of the acceleration of the penny?

Answers

Answer:

The sign of acceleration is positive.

Step-by-step explanation:

Consider the provided information.

It is given that A student drops a penny from the top of a tower and decides that she will establish a coordinate system in which the direction of the penny's motion is positive.

Here the direction of the velocity is positive, and the velocity is increasing.

Acceleration is defined as the rate at which an object changes its velocity.

Since velocity is positive therefore the acceleration is also positive.

Hence, the sign of acceleration is positive.

Answer:

It's positive

Step-by-step explanation:

A 7-foot ladder is leaned against a building in such a way that the bottom of the ladder is 4 feet from the base of the wall. Find the angle formed between the ladder and the ground

Answers

θ=180cos−1(47)/π=55.1501 degrees

The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function?The domain is all real numbers. The range is {y|y < 16}.
The domain is all real numbers. The range is {y|y ≤ 16}.
The domain is {x|–5 < x < 3}. The range is {y|y < 16}.
The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}.

Answers

First, you can simplify the function finding the perfect square:

$f(x)=-x^2-2x+15=-(x^2+2x)+15=-(x^2+2x+1-1)+15=-((x+1)^2-1)+15=-(x+1)^2+1+15=-(x+1)^2+16.$

This form of function gives you the coordinates of parabola vertex - (-1,16).

From the diagram you can see that all values for x are possible, then the domain is $x\in (-\infty,\infty)$ (all real numbers). Also you can see that values of y decrease from y=16 to $-\infty$ , then the range is $y\in(-\infty,16]$ (or {y|y ≤ 16}).

Answer: correct choice is B.

Since the function is a parabola and there are no discontinuities, the domain is all real numbers. To determine the range, the function has to be transformed into the vertex form.
The vertex form of the function is:
f(x) = -(x+1)2 +16
This means that the graph is facing downwards with the vertex at (-1,16).
So, the range is {y|y ≤ 16}