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ryzh [129]
3 years ago
8

What is the equation of the line that passes through the point (4,−2) and has a slope of -2

Mathematics
1 answer:
Zepler [3.9K]3 years ago
4 0

Answer:

y = -2x + 6

Step-by-step explanation:

Point slope form is y - y1 = m(x-x1)

y - (-2) = -2(x-4)

y + 2 = -2x + 8

y = -2x + 6

You might be interested in
What's the ordered pair for point H in the graph above?
Bumek [7]

Answer:

C) (5,0)

Step-by-step explanation:

1. The correct answer is C) because when we move five units to right from the origin, and zero units up, we end up at point H!

6 0
2 years ago
Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the
LuckyWell [14K]

Answer:

1. x=8 is the line of symmetry for f(x) = -4(x − 8)2 + 3

2. x=-2 is the line of symmetry of g(x) = 3x2 + 12x + 15

3. x=3 is the line of symmetry of h(x), shown in the graph.

Step-by-step explanation:

To find the line of symmetry of a vertical parabola (second degree polynomial), find the value of x that sets the squared term to zero.  This is a vertical line passing through the vertex of the second degree function.

1. f(x) = -4(x − 8)2 + 3

setting x=8 will give f(8) = 3, so x=8 is the line of symmetry

2. g(x) = 3x2 + 12x + 15

here, we need to complete the squares,

g(x) = 3x2 + 12x + 15

g(x) = 3(x^2+4x+5)

g(x) = 3(x^2 + 2(2x) +4 +1)

g(x) = 3((x+2)^2 +1)

So setting x=-2 will anihilate or cancel the squared term, therefore

x= -2 is the line of symmetry.

3. the curven shown in graph,

we see that the vertex is at x=3, so x=3 is the line of symmetry.

5 0
3 years ago
Find the area of a triangle with:
telo118 [61]

Answer:

161cm2

Step-by-step explanation:

Area: 1/2 x base x height

1/2 x 14 x 23=161

Area is measured in cm2

Hope this helps!

8 0
3 years ago
C=2(3.14)r; c=14(3.14) solve for r
tekilochka [14]

Answer:

c=2(3.14)r

given c=14(3.14), then r

make r the subject formula and substitute given c=14(3.14)

r=c/2(3.14)

r=14(3.14)/2(3.14)

r=7

Step-by-step explanation:

7 0
3 years ago
The radius of a semi-circle measures 5<br> units. Find its area.
shutvik [7]

Answer:

≈39.27 units

Step-by-step explanation:

To find the area of a semi circle, you use the formula for finding the area of a circle, which is \pir^{2}, and then you divide that by 2 since it is half of a circle.

In this case, \pi(5)^{2} ≈ 78.54

\frac{78.54}{2} = 39.27

8 0
3 years ago
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