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2 years ago

A line intersects the points

Mathematics

1 answer:

monitta2 years ago

3 0

The slope of this line in its simplest form is -3.

<u>Given the following points:</u>

Points on the x-axis = (7, 11)

Points on the y-axis = (6, -6)

To determine the slope of this line in its simplest form:

The slope of a line refers to the gradient of a line and it describes both the direction and steepness of an equation of a straight line.

Mathematically, the slope of a line is calculated by using this formula;

$Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}$

Substituting the given parameters into the formula, we have;

$Slope, \;m = \frac{-6 - 6}{11 - 7}\\\\Slope, \;m = \frac{-12}{4}\\$

Slope, m = -3.

Read more on slope here: brainly.com/question/3493733

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12.

IrinaVladis [17]

Answer:

Length of the room is 180 ft

Step-by-step explanation:

We have a rectangular room with dimensions:

width = 70 ft and length "x" (unknown)

Perimeter of a rectangle is 2*w + 2*x and according to problem statement 500 ft of lights will fit exactly in room perimeter then:

2*70 + 2*x = 500

140 + 2*x = 500

2*x = 500 - 140

2*x = 360

x = 360/2

x = 180 ft

5 0

2 years ago

Evaluate the expression for X=6 y= -1 4x + 5y

rodikova [14]

<h2>Answer:</h2>

19 ans.

<h2>Step-by-step explanation:</h2><h3>Given:</h3>

x = 6
y = -1

Evaluate 4x + 5y

<h3>Solution:</h3>

We know the value of x and y,

x = 6 and y = -1 [Given]

<u>Substitute the </u><u>value,</u>

4x + 5y
4(6) + 5(-1)
24 + (-5)
24 - 5
19 Ans.

8 0

1 year ago

Sam was given a bag of 100 red and blue marbles. He believes

Rashid [163]

Answer:

(D) There are probably more blue marbles than red marbles in the bag.

Step-by-step explanation:

There are a total of 100 marbles in the bag.

In the experiment of 50 trials, Sam had the following outcome:

Blue=35

Red=15

Relative Frequency of Blue Marbles =35/50=0.7

Relative Frequency of Red Marbles =15/50=0.3

Since the relative frequency of blue marbles is greater than the relative frequency of red marbles, <u>there are probably more blue marbles than red marbles in the bag.</u>

The correct option is D.

6 0

2 years ago

Complete the table of inputs and outputs for the given function. F(x)= -5(x+7)

levacccp [35]

The table of inputs that satisfy the given function is (<em>-2, 25), (-1, -30), (0, 35), (1, -40) and (2, -45).</em>

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the function f(x) = -5(x + 7)

When x = -2; f(-2) = -5(-2 + 7) = -25

When x = -1; f(-1) = -5(-1 + 7) = -30

When x = 0; f(0) = -5(0 + 7) = -35

When x = 1; f(1) = -5(1 + 7) = -40

When x = 2; f(2) = -5(2 + 7) = -45

The table of inputs that satisfy the given function is (<em>-2, 25), (-1, -30), (0, 35), (1, -40) and (2, -45).</em>

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Find out more on equation at: brainly.com/question/13763238

#SPJ1

6 0

1 year ago

The dashed-line triangle is a dilation image of the solid-lined triangle.

Gre4nikov [31]

Refer to the edited figure.

Triangles ABC and A'B'C' are similar because of AAA.
Also,
$\frac{AB}{A'B'}= \frac{15}{5}=3 \\\\ \frac{AC}{A'C'}= \frac{12}{4}=3$

Therefore
ΔA'B'C' is 1/3 the size of ΔABC.
This means that the scale factor from ΔABC to ΔA'B'C' is a 3-factor reduction.

Answer: reduction; one-third.
The dilation is a reduction.
The scale factor of the dilation is one-third.

8 0

2 years ago