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nevsk [136]
3 years ago
6

Which is the graph of f(x) = -(x + 3)(x + 1)?

Mathematics
1 answer:
ch4aika [34]3 years ago
3 0

Answer:

Step-by-step explanation:

x intercepts are -3,-1

f(x)=-(x²+x+3x+3)=-(x²+4x)-3=-(x²+4x+4-4)-3=-(x+2)²+4-3

or f(x)=-(x+2)²+1

vertex is (-2,1)

so it is an inverted  parabola with vertex (-2,1) and x-intercepts (-3,0) and (-1,0)

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A line passes through the point (-4,6) and has a slople of 3/2. Write an equation in point-slope form for this line.
Gennadij [26K]

Answer:

Step-by-step explanation:

point-slope formula is asked for [y-y1 = m(x-x1]

where the given point,  P=(x1,y1) = (-4,6)

and the slope , m is given as 3/2

so plug those into the formula

y-6=3/2(x-(-4))

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voila .. you are done :)

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3 years ago
Select the correct answer. What is the area of the triangle in the diagram? A. B. C. D. Reset Next Previous5 Next Using Coordina
Komok [63]

The area of the triangle can be calculated using the distance formula if the coordinates are given.

<h3>What is the triangle?</h3>

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle with coordinates on the coordinate plane.

It is required to find the area of the triangle using the coordinate points.

Here the coordinates are not given, so we are assuming the coordinates are (x1, y1), (x2, y2), (0,0)

From the distance formula:

The distance(b) between (0, 0) and (x1, y1):

\rm b = \sqrt{(x_1-0)^2+(y_1-0)^2} \Rightarrow \sqrt{x_1^2+y_1^2}

The distance between (0, 0) and (x2, y2):

\rm h = \sqrt{(x_2-0)^2+(y_2-0)^2} \Rightarrow \sqrt{x_2^2+y_2^2}

So the area of the triangle:

A = bh/2

\rm A = \dfrac{1}{2}\times  \sqrt{x_1^2+y_1^2} \times  \sqrt{x_2^2+y_2^2}

\rm A = \dfrac{1}{2} \sqrt{(x_1^2+y_1^2) (x_2^2+y_2^2)}

Thus, the area of the triangle can be calculated using the distance formula if the coordinates are given.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

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Use compatible numbers to estimate the quotient? 474÷9
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Answer:

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Step-by-step explanation:

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