MATHEMATICS HIGH SCHOOL

The coordinates of the vertices of △DEF are D(2, −1) , E(7, −1) , and F(2, −3) . The coordinates of the vertices of △D′E′F′ are D′(0, −1) , E′(−5, −1) , and F′(0, −3) . What is the sequence of transformations that maps △DEF to △D′E′F′

Answers

Answer 1

Answer:

Answer:

reflection across the y-axis and translation 2 units right. :)

Step-by-step explanation:

Answer 2

Answer:

It seems to be a reflection across line x = 1.

Related Questions

The ratio of the diameters of two circles is 3:5. The circumference of the larger circle is approximately 113.1 m. What is the approximate circumference of the smaller circle?7.5 m 22.6 m 67.9 m 188.5 m
How do you solve x+2/3=11//12
How to factor: a^2+11a+18
Simplify the expression
Can anyone help me?

Need rn! worth 30Evaluate the function T(x)=19−x, when x=−3.
a.) 57
b.) 22
c.) 16
d.) −16

Answers

Answer:

Step-by-step explanation:

Are two straight lines that cross each other at a right angle? A. Perpendicular
B. Broken
C. Parallel
D. Curved

Answers

Perpendicular lines.

x/3≤ -6

Two straight lines that cross each other at a right angle are called perpendicular angles.

10% of what number is 30

Answers

'is' in mathematics means equal
'of' in mathematics means multiplication

10% can also be written as 10/100

$(10)/(100) * x = 30\n\n(1)/(10)x = 30\n\n\boxed{\bf{x=300}}$

10% of 300 is 30

Convert percentage into decimal: 10%/100 = 0.1
Divide decimal by 30: 30 ÷ 0.1 = 300

If you apply these changes to the linear parent function, f(x) = x, what is the equation of the new function? - Vertically compress by a factor of 7
- Shifts up 5 units.

A. $g(x) = 7x + 5$
B. $g(x) = (1)/(7) (x+5)$
C. $g(x) = 7(x-5)$
D. $g(x) = (1)/(7) x+5$

Answers

Answer:

A, g(x) = 7x + 5

Step-by-step explanation:

applying these translations to the parent function f(x) = x, we would get the following equation:

g(x) = 7x + 5

a vertical compression is written before the parent function (in this case f(x)=x), and a shift up is written next to the function. both of these are without parentheses

the answer would be A, g(x) = 7x + 5

Write the expression as the sine, cosine, or tangent of an angle.
sin 9x cos x - cos 9x sin x

Answers

Answer:

$\sin (9x)\cos (x) - \cos 9(x) \sin (x)=\sin (8x)$

Step-by-step explanation:

Given : Expression $\sin (9x)\cos (x) - \cos 9(x) \sin (x)$

To find : Write the expression as the sine, cosine, or tangent of an angle?

Solution :

We know the trigonometry property of additional,

$\sin A\cos B-\cos A\sin B=\sin (A-B)$

On comparing the expression with property,

A=9x and B=x

Substitute in formula,

$\sin (9x)\cos (x) - \cos 9(x) \sin (x)=\sin (9x-x)$

$\sin (9x)\cos (x) - \cos 9(x) \sin (x)=\sin (8x)$

Therefore, The expression is written as the sine of an angle

$\sin (9x)\cos (x) - \cos 9(x) \sin (x)=\sin (8x)$

from sin(a-b) = sin(a)cos(b) - cos(a)sin(b)
let a=9x, b=x
sin(9x)cos(x) - cos(9x)sin(x) = sin(9x-x) = sin(8x)

This questions is breaking my head... If a gumball is randomly chosen from a bag that containsexactly 6 yellow gumballs, 5 green gumballs, and 4red gumballs, what is the probability that the gumballchosen is NOT green? Can you also write ratio for me to this question?

Answers

Total gumballs= 6 yellow+ 5 green + 4 red
= 15 gumballs
Green gumballs=5
Other gumballs= 15-5= 10
Probability= Other non-green gumballs/Total gumballs
=10/15 = 2/3
Probability of not getting green gumball is 2/3 or 66.66666.... %
The ration is 2:3.

the answer toy your question is
3/4

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