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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.

Given the following points:

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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Last question. 50 points!

Shkiper50 [21]

w=-1.5

w=2

Answer:

Solution given:

$\sqrt{2w²-19w+31}+2=7-2w$

again

keep square root alone

$\sqrt{2w²-19w+31}=7-2w-2$

solve subtraction of 7-2

$\sqrt{2w²-19w+31}=5-2w$

Squaring on both side

$(\sqrt{2w²-19w+31})²=(5-2w)²$

2w²-19w+31=5²-2*5*2w+4w²

take terms one side

2w²-19w+31-25+20w-4w²=0

-2w²+w+6=0

2w²-w-6=0

doing middle term factorisation

2w²-(4-3)w-6=0

2w²-4w+3w-6=0

take common from each two term

2w(w-2)+3(w-2)=0

(w-2)(2w+3)=0

either

w=2

W=-3/2=-1.5

3 0

2 years ago

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If a storm window has an area of 448 square inches, what are the dimensions if the window is 12 inches higher than it is wide (w

Sholpan [36]

16*28=448
28 is 12 inches higher than 16 so it should work.

5 0

3 years ago

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The graph below represents the function f.

OLEGan [10]

Answer: А.

The function f intersects the x-axis at two points, and the function g never intersects the x-axis.

Step-by-step explanation:

In the graph we can see f(x), first let's do some analysis of the graph.

First, f(x) is a quadratic equation: f(x) = a*x^2 + b*x + c.

The arms of the graph go up, so the leading coefficient of f(x) is positive.

The vertex of f(x) is near (-0.5, -2)

The roots are at x = -2 and x = 1. (intersects the x-axis at two points)

Now, we know that:

g(x) has a positive leading coefficient, and a vertex at (0, 3)

As the leading coefficient is positive, the arms go up, and the minimum value will be the value at the vertex, so the minimum value of g(x) is 3, when x = 0.

As the minimum value of y is 3, we can see that the graph never goes to the negative y-axis, so it never intersects the x-axis.

so:

f(x) intersects the x-axis at two points

g(x) does not intersect the x-axis.

The correct option is A.

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3 years ago

What is value of x? Enter your answer in the box.

marin [14]

Answer:

$x \ = \ 10$

Step-by-step explanation:

Let point $D$ be the point where the straight line drawn from point $A$ meets the straight line $BC$ , it is evident that $\triangle ABD$ and $\triangle ACD$ is similar given that both triangles share the same angle, $\angle BAD \ = \ \angle DAC$ . Hence, the ratio of the sides of each triangle is the same. Specifically,

$\displaystyle{\frac{x+4}{8} \ = \ \frac{2x+1}{12}}$ .

Performing cross multiplication yields

$12\left(x+4\right) \ = \ 8\left(2x+1\right) \\ \\ \rule{0.15cm}{0cm}12x+48 \ = \ 16x+8 \\ \\ \rule{1.1cm}{0cm} 4x \ = \ 40 \\ \\ \rule{1.3cm}{0cm} x \ = \ 10$ .

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1 year ago

I WILL BESTOW BRAINLIEST ON FIRST ANSWERER!!! Solve the equation. 0.10x+0.05(14-x)=0.10(-2)

myrzilka [38]

x=-18 if its right please give 5 stars so I can rankup

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3 years ago

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