All categories

2 years ago

Choose two transformations that could have been performed on triangle JKL to form congruent triangle J"K"L".

Mathematics

1 answer:

Svetllana [295]2 years ago

3 0

Triangle JKL was rotated 90° counterclockwise and then refrected across the line y = -4.

You might be interested in

Write the expression for when you translate the graph of y = | 1/2 x−2 |+3 a) one unit up, b) one unit down, c) one unit to the

alukav5142 [94]

Answer:

a) y = |x/2 -2| +4

b) y = |x/2 -2| +2

c) y = |(x+1)/2 -2| +3

d) y = |(x-1)/2 -2| +3

Step-by-step explanation:

To translate the function f(x) by (h, k) in the (right, up) direction, you transform it to ...

g(x) = f(x -h) +k

a) one unit up

Add 1 to the function value.

$y=\left|\dfrac{x}{2}-2\right|+3+1\\\\\boxed{y=\left|\dfrac{x}{2}-2\right|+4}$

b) one unit down

Subtract 1 from the function value.

$y=\left|\dfrac{x}{2}-2\right|+3-1\\\\\boxed{y=\left|\dfrac{x}{2}-2\right|+2}$

c) one unit left

Replace x with x-(-1).

$y=\left|\dfrac{x-(-1)}{2}-2\right|+3\\\\\boxed{y=\left|\dfrac{x+1}{2}-2\right|+3}$

d) one unit right

Replace x with x-1.

$\boxed{y=\left|\dfrac{x-1}{2}-2\right|+3}$

7 0

2 years ago

What is the equation of a line, in point slope form that passes through (-2, -6) and has a slope of 1/3

andreyandreev [35.5K]

Answer:

The equation of a line, in point slope form that passes through (-2, -6) and has a slope of 1/3 is $y+6=\frac{1}{3}(x+2)$

Solution:

Given that line passes through (-2, -6) and has slope of 1/3

We have to find the equation of the line

The point slope form is given as

$y-b=m(x-a)$

where m is the slope of the line and a, b are the x, y coordinates of the given point through which the line passes.

Here in this question, m = 1/3 and a = -2 and b = -6

By substituting in point slope form we get,

$y - (-6) = \frac{1}{3}(x - (-2))\\\\y + 6 = \frac{1}{3}(x + 2)$

Hence the equation of a line, in point slope form that passes through (-2, -6) and has a slope of 1/3 is $y+6=\frac{1}{3}(x+2)$

3 0

2 years ago

Which of the following inequalities matches the graph?

BlackZzzverrR [31]

Are there any more choices? it looks like B because the graph is decreasing.

5 0

2 years ago

Please help me solve this for 15 points! -x2 + 4x - 54 = 0

Mazyrski [523]

Answer:

x1 =2-5i*sqrt(2)

x2 =2+5i*sqrt(2)

Step-by-step explanation:

-x^2 +4x-54=0 (quadratic equation)

a=-1, b=4, c=-54

x1=(-b+sqrt(b^2-4ac))/2a

x1=(-4+sqrt(4^2 - 4*(-1)(-54))/2*(-1)

x1=(-4+sqrt(16-216))/(-2)

x1 =(-4+sqrt(-200))/(-2)

x1 =(-4+sqrt(200i^2))/(-2) i^2=-1

x1 =(-4+sqrt(100*2*i^2))/(-2)

x1 =(-4+10i*sqrt(2))/(-2)

x1 =2-5i*sqrt(2)

x2 =(-b-sqrt(b^2-4ac))/2a

x2 =(-4-10i*sqrt(2))/(-2)

x2 =2+5i*sqrt(2)

7 0

3 years ago

Read 2 more answers

Becky bought a magazine for $3.90, and the sales tax was 8.25%. How much sales tax did Becky pay on the magazine?

Ilya [14]

Answer:

$4.22 Is your answer.

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers