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Tju [1.3M]
3 years ago
11

Explain to a new student how a reflection across the y-axis changes the coordinates of the original point.

Mathematics
1 answer:
RSB [31]3 years ago
6 0
If you were to have (3,2) and find the reflection of the y axis, it would turn y into a negative, making it (3,-2).
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∆ABC is an isosceles triangle. The length of CB is 12 feet 4 inches and the congruent sides are
son4ous [18]

Answer:

Answer for 2nd is option c, for 3rd is option d, for 4th is option e

Step-by-step explanation:

As we know 1 ft.=12 in.

  1. In ΔABC

   ∴ The congruent sides are AB and AC respectively

  • CB =12 ft. 4 in.=148 in.
  • AB=\frac{3}{4}CB =111 in. =9 ft. 3 in.
  • AC=\frac{3}{4}CB =111 in. =9 ft. 3 in.

    ∵  <em>Perimeter of ΔABC</em> =AB+AC+CB

                                        =9 ft. 3 in. + 9 ft. 3 in. +12 ft. 4 in.

                                        =30 ft. 10 in.

    2. In ΔDEF

    ∴ The congruent sides are DE and DF respectively

  • DE =  6 ft. 3 in. =75 in.
  • DF =  6 ft. 3 in. =75 in.
  • Let the length of FE is equal to x
  • 0.75FE =DE =DF
  • 0.75x = 6 ft. 3 in. =75 in.
  • x =100 in. =8 ft. 4 in.

   ∵ <em>Perimeter of ΔDEF</em> =DE+DF+FE

                                        = 6 ft. 3 in. +6 ft. 3 in. +8 ft. 4 in.

                                        = 20 ft. 10 in.

    3. In ΔJKL

    ∴ The congruent sides are JL and KL respectively

  • JK = x+3
  • KL =4x-17
  • JL  =6x-45
  • JL≅KL
  • 4x-17 =6x-45  . . . . . . . . . . . . . . . . . . . . . . . (1)
  • Subracting 4x from both sides from eq 1
  • -17 =2x-45
  • Adding 45 on both the sides
  • 28 =2x
  • Dividing by 2 on both sides
  • 14 =x
  • JK = 14+3 =17
  • KL = 4×14-17 =39
  • JL = 6×14-45 =39

   ∵ <em>The dimensions of the ΔJKL are 39,39 and 17.</em>

6 0
3 years ago
Choose the definition for the function.
seraphim [82]

Answer:

In mathematics, a function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set.

6 0
3 years ago
Which triangles are similar? <br><br>​
anyanavicka [17]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
I need to solve for x
Rama09 [41]

Answer:

x=2+√14

Step-by-step explanation:

log(x)+log(x−4)=1

log(x to the second power−4x)=1

Step 1: Solve Logarithm.

log(x2−4x)=1

10log(x2−4x)=101(Take exponent of both sides)

x2−4x=101

x2−4x=10

x2−4x−10=10−10(Subtract 10 from both sides)

x2−4x−10=0

For this equation: a=1, b=-4, c=-10

1x2+−4x+−10=0

x=

−b±√b2−4ac

2a

(Use quadratic formula with a=1, b=-4, c=-10)

x=

−(−4)±√(−4)2−4(1)(−10)

2(1)

x=

4±√56

2

x=2+√14 or x=2−√14

Check answers. (Plug them in to make sure they work.)

x=2+√14(Works in original equation)

x=2−√14(Doesn't work in original equation)

Answer:

x=2+√14

4 0
3 years ago
27 millimeters = how many centimeters?
finlep [7]
The correct answer would be 2.7 centimeters. Hope this was helpful, and if so, please give Brainliest. (:
3 0
3 years ago
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