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3 years ago

Triangle JKL has vertices J (-7, 4), K (7.1),

Mathematics

1 answer:

harina [27]3 years ago

7 0

Answer:

J'(7,-4), K'(-7,-1), L'(-2,2)

Step-by-step explanation:

reflection over x-axis: (x,y) --> (x,-y)

reflection over y-axis: (x,y) --> (-x,-y)

Because the triangle is reflected x-axis and then y-axis,

all points would be (x,y) --> (-x,-y)

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Find the axis of symmetry and the vertex and graph the following: f(x)=(x+2)(x-4)

algol [13]

something noteworthy is that the independent and squared variable in this case will be the "x", namely the graph of that quadratic is a vertical parabola.

$\bf f(x) = (x+2)(x-4)\implies 0=(x+2)(x-4)\implies x = \begin{cases} -2\\ 4 \end{cases} \\\\\\ \boxed{-2}\rule[0.35em]{7em}{0.25pt}0\rule[0.35em]{3em}{0.25pt}\stackrel{\downarrow }{1}\rule[0.35em]{10em}{0.25pt}\boxed{4}$

so the parabola has solutions at x = -2 and x = 4, and its vertex will be half-way between those two guys, namely at x = 1.

since this is a vertical parabola, its axis of symmetry, the line that splits its into twin sides, will be a vertical line, and it'll be the x-coordinate of the vertex, since the vertex hasa a coordinate of x = 1, then the axis of symmetry is the vertical line of x = 1.

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3 years ago

Find the volume of a right circular cone that has a height of 7.4 in and a base with a diameter of 5.4 in. Round your answer to

JulijaS [17]

Answer:

approximately 56.51 cubic inches

Step-by-step explanation:

volume of a cone = 1 / 3 × pi × radius^2 × height

= 1/3 × 22/7 × 7.29 × 7.4

= 56.5148 cubic inches

8 0

3 years ago

Which table represents a linear function? (will give brainliest)

kvasek [131]

Answer:

$\huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:}\$

Linear function :The characteristic property of linear functions is that when the input variable is changed, the change in the output is proportional to the change in the input. Linear functions are related to linear equations.

Step-by-step explanation:

We have

y=mx+c

for 1st

not satisfied.

for

2nd

not satisfied

3rd

3rd satisfied

4th

[note : substitute value of x to get value of y from table]

third table represents a linear function.

3 0

3 years ago

Read 2 more answers

Solve the inequality and enter your solution as an inequality comparing the

avanturin [10]

Answer: x > 20

Step-by-step explanation:

x + 10 > 30

-10 -10

x > 20

3 0

3 years ago

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Find the arc length of the partial circle. length is 1. **See attached photo**

KatRina [158]

Arc length of the quarter circle is 1.57 units.

Solution:

Radius of the quarter circle = 1

Center angle (θ) = 90°

To find the arc length of the quarter circle:

$$\text{Arc length}=2 \pi r\left(\frac{\theta}{360^\circ}\right)$

$$=2 \times 3.14 \times 1\left(\frac{90^\circ}{360^\circ}\right)$

$$=2 \times 3.14 \times 1\left(\frac{1}{4}\right)$

Arc length = 1.57 units

Arc length of the quarter circle is 1.57 units.

5 0

3 years ago